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1 Competitive_Balance_of_Football_Leagues_E.pptx February 2013 Roland Berger Strategy Consultants University of Tübingen Key findings of a study of the competitive balance in football leagues How exciting are the major European football leagues?

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Page 1: How exciting are the major European football leagues?

1Competitive_Balance_of_Football_Leagues_E.pptx

February 2013Roland Berger Strategy ConsultantsUniversity of Tübingen

Key findings of a study of the competitive balance in football leagues

How exciting are the major European football leagues?

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A Roland Berger and University of Tübingen study of the competitive balance of football leagues sees FRA and GER as most evenly matched

EXECUTIVE SUMMARY

This study analyzes the trends in competitive balance in Europe's top five football leagues (England, France, Germany, Italy and Spain). "Competitive balance" means the degree to which a league is evenly matched (e.g. where non-dominance by certain teams reflected in the relative uncertainty of results)

Analysis of the long-, medium- and short-term competitive balance reveals that France and Germany have the most competitively balanced and hence, by our definition, the most exciting and unpredictable leagues, and that the English league is the worst in this regard

However, the competitive balance has deteriorated across all leagues in the past decade. The introduction of UEFA Financial Fair Play could in future reverse or at least slow this trend to some degree by curbing the top teams' financial dominance

The race for the championship is most exciting in the German and French leagues and least unpredictable in the Spanish league, which is dominated by Real Madrid and Barcelona

The Champions League race is more or less evenly balanced in all leagues. The same holds true for the battle against relegation

Source: Roland Berger, University of Tübingen

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France and Germany have the most competitively balanced and hence the most exciting leagues – England's is the worst

League rankings: Competitive balance in the long, medium and short term1)

EXECUTIVE SUMMARY

1) Rankings for the H index and C5 index based on relative positions in 2010/11; see detailed results in the individual sections

OVERALLLong term Medium term

Germany 2.

France 1.

Spain 3.

Italy 3.

England 5.

TOTAL

2.

1.

3.

3.

5.

H index

2.

1.

4.

3.

5.

C5 index

2.

1.

4.

3.

5.

TOTAL

3.

1.

4.

2.

5.

UCL

4.

1.

1.

1.

4.

UREL

1.

1.

1.

1.

1.

2.

Short termTheil index

1.

2.

4.

4.

Source: Roland Berger, University of Tübingen

UCS

1.

1.

5.

3.

3.

CBR

2.

1.

2.

4.

5.

Page 4: How exciting are the major European football leagues?

4

This document shall be treated as confidential. It has been compiled for the exclusive, internal use by our client and is not complete without the underlying detail analyses and the oral presentation. It may not be passed on and/or may not be made available to third parties without prior written consent from Roland Berger Strategy Consultants. We do not assume any responsibility for the completeness and accuracy of the statements made in this document.

© Roland Berger Strategy Consultants

Contents Page

Competitive_Balance_of_Football_Leagues_E.pptx

0. Introduction 5

A. Long-term competitive balance 9

B. Medium-term competitive balance 16

C. Short-term competitive balance 24

D. Outlook: How will the UEFA Financial Fair Play regulations affect the competitive balance? 31

E. Methodology and definitions 33

Appendix 46

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0. Introduction

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Profile

• 15 years' consulting experience in marketing, sales and sports

• Head of the Marketing & Sales and Consumer Goods & Retail Competence Centers

• Expert in sports business, sports branding, restructuring and strategy

Professor Björn BlochingRoland Berger, Partner Head of the global Marketing & Sales and Consumer Goods & Retails Competence Centers

Phone +49 (0)40 37631-4446Mobile +49 (0)160 744-4446

[email protected]

The study was conducted jointly by Roland Berger Strategy Consultants and the University of Tübingen

Professor Tim PawlowskiUniversity of TübingenChair of Sport Economics, Sport Management and Sport Media Research

Profile

• Full Professor of Sport Economics, Sport Management and Sport Media Research at the University of Tübingen

• Research focus on the econometric analysis of sports demand and league competitions

• Scholar in the UEFA Research Grant Program 2011/12

Phone +49 (0)7071 29 76544

[email protected]

CONTACTS

Source: Roland Berger, University of Tübingen

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The study analyzes trends in the competitive balance of Europe's top five football leagues

Relevance and scope of the study

RELEVANCE AND BACKGROUNDSCOPE OF THE STUDY• Competitive balance is important for fans:

Increasingly unevenly balanced sports competitions could have a negative impact on fans' interest and consequently affect both stadium attendance and TV viewing figures1)

• For clubs: Unbalanced sports competitions could also increase the risk of insolvency for struggling clubs2)

• Strong interest in maintaining competitive balance: League organizations are clearly interested in maintaining a certain degree of competitive balance, as reflected in UEFA's research grant for a project on the perceived relevance of competitive balance for fans3)

• Impact of UEFA Financial Fair Play: The new UEFA FFP regulations highlight the importance of competitive balance

• Key question: How exciting are Europe's football leagues?– In this context, "excitement" can be understood as a

highly competitive balance that makes it difficult to predict results. It should be noted, however, that other factors also influence the perceived excitement of a match (e.g. clubs' history and reputation, local derbies, large fan bases, etc.)

• Methodology: Trend analysis of competitive balance – This study analyzes the long-, medium- and short-

term trends in competitive balance in the top five leagues in European professional football (England, France, Germany, Italy and Spain)

Source: Roland Berger, University of Tübingen

1) Pursuant to the uncertainty of outcome (UO) hypothesis; see Rottenberg (1956) and Neale (1964) 2) Michie & Oughton (2004) 3) Pawlowski (2012)

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It is important to assess several dimensions of competitive balance to obtain a fair picture of football leagues

Measures of com-petitive balance1)

Description and measurement

Long-term

Medium-term

Short-term

Source: Roland Berger, University of Tübingen

A

B

C

Indicators2)

• Inter-seasonal• Domination (or otherwise) of a league

by a few teams over time• Comparison of positions in the final

tables over several seasons

• Competitive balance ratio

• H index• C5 index

• Intra-seasonal• Excitement of sub-competitions• Matches in the race for different

achievements (championship, Champions League qualification, relegation)

• UCS measure• UCL measure• UREL measure

• Individual matches• Analysis of betting odds for individual

matches to compare the uncertainty of match outcomes

• Theil index

1) Cairns, Jennett and Sloane (1986) 2) For an exact definition of the measures/indices and the methodology used, see section E

Fair compa-rison of the competitive balance in football leagues

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A. Long-term competitive balance

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The two main measures to determine long-term competitive balance in football leagues can be combined to derive the CBR

Measures of long-term competitive balance

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

Measure Description Questions answered

Intra-season competitive balance

• Static indicator: Performance differences across teams in a league during a season

• How large is the points difference between teams?

• How evenly balanced is a league during a season?

• How tight are cham-pionship races, etc.?

• H index• C5 index• Standard deviation of

league points (SDLP)

Intra-team competitive balance

• Dynamic indicator: Performance of a given team over a period of time

• How much do the final league positions of a team vary (e.g. long-term dominance)?

• What degree of permeability does a league have?

• Are different teams playing for trophies?

• Standard deviation of team points (SDTP)

Indicators1)

Combination of intra-season and intra-team com-petitive balance

• Combined indicator: Comprehensive measure that captures both competitive balance components (intra-season and intra-team)

• How evenly balanced is a league in the long term?

• Competitive balance ratio (CBR)

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French and German leagues have the strongest competitive balance –Balance has deteriorated across all leagues in the past decade

Competitive balance has declined across leaguesCOMMENTS

• The competitive balance ratio (CBR) measures competitive balance for a given team and season by comparing standard deviations1)

• Declining competitive balance from the 90s to the 00s: The competitive balance has declined in all five leagues

• France remains most exciting, followed by Germany and Italy. The competitive balance remains weakest in Spain and England

• Champions League money as an explanation: The introduction of high Champions League payouts is a likely reason for this development

Competitive balance ratio [91/92-00/01 vs. 01/02-10/11]

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

Changes in the long-term competitive balance

France

0.61

0.78

England

0.33

0.44

Spain

0.460.50

Italy

0.52

0.62

Germany

0.53

0.66

2001/02-2010/111991/92-2000/01

Leve

l of c

omp.

bal

ance

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The competitive balance ratio (CBR) is made up of two separate elements: a static and a dynamic indicator

BACK-UP

Static indicator (intra-season)

Elements of the competitive balance ratio (CBR)1)

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

Points difference between top 5 teams in 1 season

Dynamic indicator (intra-team)

Performance variation for 1 team over several seasons

England

21.7

14.8

Spain

17.615.4

Italy

21.9

14.3

Germany

16.213.7

France

13.213.7

2001/02-2010/111991/92-2000/01

England

7.16.5

Spain

8.27.6

Italy

11.3

8.9

Germany

8.79.1

France

8.0

10.7

2001/02-2010/111991/92-2000/01

Leve

l of c

omp.

bal

ance

Leve

l of c

omp.

bal

ance

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103

104

105

106

107

108

109

110

111

112

Italy

France

England

Germany

10/1107/0804/0501/0298/9995/9692/9389/9086/87

Spain

The competitive balance in England and Spain has deteriorated in recent years – Germany and France remain the most balanced

Source: Roland Berger, University of Tübingen

• The H index measures the sum of the quadratic share of points won by each club in a league1)

• Germany and France most balanced: The French and German leagues have the most balanced competitive landscapes

• England most unbalanced: England has moved from second to first as the most unbalanced league

• Competitive balance in Italy improving: The Italian league has improved from last to third place

• Spain constantly deteriorating: Spain had the most competitive league but is now in fourth place, only better than England

Long-term competitive balance measured by the H index1)

1) For an exact definition of the measures/indices and the methodology used, see section E

H index of competitive balance [4-year moving averages]

Higher competitive balance in German and French leaguesCOMMENTS

Leve

l of c

omp.

bal

ance

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A similar picture emerges when examining the top teams only –France and Germany are the most balanced, England is unbalanced

Source: Roland Berger, University of Tübingen

• The C5 index measures the share of points won by the top 5 teams1)

• English top teams in a league of their own: England's top five teams almost always win the largest share of points in their league

• Smallest gap in France and Germany: The share of points won by the top teams is lowest in the French and German leagues

• Spain and Italy moving in opposite directions: While Spain has constantly become more unbalanced, the gap between top teams and the rest has grown smaller in Italy

Long-term competitive balance measured by C5 index1)

1) For an exact definition of the measures/indices and the methodology used, see section E

C5 index of competitive balance [4-year moving averages]

BACK-UP

125

130

135

140

145

150

10/1107/0804/0501/0298/9995/9692/9389/9086/87

Germany

England

France

ItalySpain

More excitement among German and French top teamsCOMMENTS

Leve

l of c

omp.

bal

ance

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Pronounced inter-season deviations in some cases –Moving averages reveal long-term trends

BACK-UP

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

Inter-season deviations in competitive balance indices

102103104105106107108109110111112113114

10/1107/0889/9086/87 04/0501/0298/9995/9692/93

H index of competitive balance [real values vs. 4-year moving avg.]

France (moving avg.)France Italy (moving avg.)Italy

• Moving averages over a four-season period were used to smooth out annual fluctuations and make trends more clearly visible

• Pronounced inter-season deviations exist in some cases (such as in 1998/99, when Italy and France briefly changed positions)

• However, the long-term trend remains intact

H index for Italy and France1)

Leve

l of c

omp.

bal

ance

COMMENTS

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B. Medium-term competitive balance

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The medium-term (i.e. intra-season) competitive balance can be measured by analyzing the balance in three key sub-competitions

1

2 3

Champion-ship race

(UCS)

Champions League race

(UCL)

Relegation battle (UREL)

Intra-season competitive

balance

1 Championship race (UCS)Measures the percentage of games in a given season in which at least one of the teams can still win the championship

2 Champions League race (UCL)Measures the percentage of games in a given season in which at least one of the teams can still qualify for the UEFA Champions League

3 Relegation battle (UREL)Measures the percentage of games in a given season in which at least one of the teams can still be relegated

Measures of medium-term competitive balance1)

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

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The championship race is most exciting in the German and French leagues and least exciting in the Spanish league

Source: Roland Berger, University of Tübingen

• The UCS figure measures the percentage of games in a given season in which at least one of the teams can still win the championship1)

• German and French championships are the most unpredictable: A higher percentage of games can still have a bearing on the race for the championship in the German and French leagues. Germany and France have each had 5 different champions in the past decade, the UK has had 4 and the other leagues only 3

• Spanish championship most predictable: The last eight championship titles in Spain were won by either Real Madrid or Barcelona.This is reflected in a negative competitive balance trend in Spain over the past six years

Medium-term competitive balance measured by UCS1)

1) For an exact definition of the measures/indices and the methodology used, see section E

% of exciting games [avg. '06/07-'11/12]

6466

57 57

51

To win the championship (UCS)

Germany SpainItalyFrance England 6-year trend

More exciting championships in Germany and FranceCOMMENTS

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However, inter-year fluctuation can be significant – The French and German championships are not always the most exciting

BACK-UP

Source: Roland Berger, University of Tübingen

1) UCS measures the share of intra-season games in which at least one of the teams can still win the championship; For an exact definition of the measures/indices and the methodology used, see section E

Medium-term competitive balance measured by UCS1) – Over time

30

35

40

45

50

55

60

65

70

75

Spain

ItalyEngland

France

Germany

2010/112009/102008/092007/082006/07 2011/12

Barcelona and Real 30 points ahead of other teams

COMMENTS

• High fluctuation: Year-on-year fluctuation of up to 35 percentage points in the number of exciting games

• Spanish duopoly: Championship is not decided earlier than in other leagues, but less teams are involved in the race (normally only Real and Barcelona)

• Close French race, same finish: Close races, despite Lyon winning 7 out of last 11 championship titles

Similarly exciting championship races in all leagues

France: Only 9 points between 1st and 5th place

% of exciting games

Germany: Dortmund 17 points ahead of 3rd place

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Balance in Champions League race roughly similar in all leagues –Spain, France and Italy slightly more exciting than England/Germany

Source: Roland Berger, University of Tübingen

• The UCL figure measures the percentage of games in a given season in which at least one of the teams can still qualify for the UEFA Champions League1)

• Race for spots in the Champions League equally exciting: The competition for CL places is more or less equally exciting in all leagues. Spain, France and Italy are slightly ahead of Germany and England

• Closest CL race in Spain; Germany and England lag behind: Spain has a smaller points difference between the last place for CL qualification and the last place for EL qualification (avg. 6.0 points2)). The biggest differences are in England and Germany (7.9 points2))

Medium-term competitive balance measured by UCL1)

1) For an exact definition of the measures/indices and the methodology used, see section E 2) Average from 2001/02-10/11

% of exciting games [avg. '06/07-'11/12]

8185

8085 87

To qualify for the UEFA Champions League (UCL)

SpainItalyEnglandFranceGermany 6 year trend

Champions League race equally excitingCOMMENTS

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Similar percentage of exciting matches in the race for UEFA Champion League places across all leagues – Little fluctuation

BACK-UP

Source: Roland Berger, University of Tübingen

Medium-term competitive balance measured by UCL1) – Over time

65

70

75

80

85

90

95

Spain

2011/12

Italy

England

France

Germany

2010/112009/102008/092007/082006/07

1) UCL measures the proportion of intra-season games in which at least one of the teams can still qualify for the UEFA Champions League; For an exact definition of the measures/indices and the methodology used, see section E

• Little fluctuation: Year-on-year fluctuation of only 18 percentage points in the number of exciting games

• More ambitious teams in Spain, Italy and France: More similarly ambitious/ balanced teams in the upper mid-table slots in Spain, France and Italy. France with a very boring CL race in 2011/12

England: Boring race: Very good team in last CL place (Liverpool): 67% of possible points in the seasons vs. 60% average for last CL place

France: CL qualification decision on last day of season

COMMENTS% of exciting games

France: Last CL qualifier (Lille) 10 points ahead of competition

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The relegation battle is almost equally exciting in all five leagues

Source: Roland Berger, University of Tübingen

• The UREL figure measures the percentage of games in a given season in which at least one of the teams can still be relegated1)

• Relegation battle equally exciting: France and Spain have the highest percentage of games in which at least one team can still be relegated. The figures for Germany and England are slightly lower

• Decision on last day of season: In all five leagues, the decision on which teams are relegated is, on average, not reached until the last day of the season2)

Medium-term competitive balance measured by UREL1)

% of exciting games [avg. '06/07-'11/12]

8992

89 91 92

To avoid relegation

SpainItalyEnglandFranceGermany 6 year trend

Relegation battle equally excitingCOMMENTS

1) For an exact definition of the measures/indices and the methodology used, see section E 2) Average for the seasons 2001/02-2010/11

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Little fluctuation in exciting relegation battles that remain roughly similar

BACK-UP

Source: Roland Berger, University of Tübingen

Medium-term competitive balance measured by UREL1) – Over time

70

75

80

85

90

95

100

SpainItaly

England

FranceGermany

2010/112009/102008/092007/082006/07 2011/12

1) UREL measures the proportion of intra-season games in which at least one of the teams can still be relegated; For an exact definition of the measures/indices and the methodology used, see section E

• Little fluctuation: Difference of only 13 percentage points in the number of exciting games in the various leagues over the past five seasons

• UREL measure: A low UREL measure does not necessarily mean that the fight against relegation was not "exciting". Instead it measures the number of teams involved

Germany: Bad relegated teams: Three relegated teams had an exceptionally low share of points in this season (each under 30%)

France: Best relegated team accumulated 39% of possible points in this season (average: 34%)

COMMENTS% of exciting games

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C. Short-term competitive balance

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Short-term competitive balance can be analyzed by comparing the uncertainty of individual match results based on betting odds

Measures of short-term competitive balance1)

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

What? • Comparison of the short-term competitive balance between and within leagues using the Theil index

How?• Analysis of betting odds (source: www.win-1x2.com based on

adjusted betting odds from www.betfair.com) for individual matches to compare the uncertainty of match outcomes

Result?• Which matches had the most uncertain outcomes, i.e. the most

even betting odds?• How balanced (i.e. unpredictable) are the matches in a league?

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Betting odds confirm that France and Germany have the highest percentage of exciting games – Spain high, but with negative trend

Source: Roland Berger, University of Tübingen

• The Theil index measures the uncertainty of a game's result by comparing betting odds1)

• Games most exciting in French, Spanish and German leagues:Highest percentage of games with uncertain results in France, Spain and Germany

• Negative trend in Spain: Germany and France clearly outperformed Spain and the other two leagues in the 2010/11 season

• Less exciting games make the difference: Most exciting matches are equally exciting everywhere, but the rest are more uncertain (and hence exciting) in GER and FRA

Short-term competitive balance measured by the Theil index1)

1) For an exact definition of the measures/indices and the methodology used, see section E

% of exciting games [average 2006/07-'10/11]

6770

60 61

68

Theil index of match result uncertainty

ItalyGermany France England Spain 5 year trend

Betting odds: Closest matches in France, Spain and GermanyCOMMENTS

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Matches in French and German leagues growing more exciting –Result uncertainty is deteriorating in Spain and low in England

BACK-UP

Source: Roland Berger, University of Tübingen

Short-term competitive balance measured by the Theil index1) – Over time

1) For an exact definition of the measures/indices and the methodology used, see section E

55

60

65

70

75

SpainItalyEngland

FranceGermany

2010/112009/102008/092007/082006/07

• Germany and France remain top: Increase in percentage of exciting/uncertain matches in German and French leagues

• Negative trend in Spain: Percentage of uncertain match results based on betting odds has declined in the Spanish league

COMMENTS% of exciting games

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The Theil index can be expressed in absolute or relative terms –There is no significant difference in the outcomes

Source: Roland Berger, University of Tübingen

Theil index – Absolute and relative figures

1) For an exact definition of the measures/indices and the methodology used, see section E

Theil index [% of exciting games]1) Theil index [absolute]1)

6770

6061

68

Theil index of match result uncertainty

Germany SpainItalyEnglandFrance

BACK-UP

Theil index of match result uncertainty

1.017

1.0040.997

1.0281.023

SpainItalyEnglandFranceGermany

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The most exciting matches are equally exciting in all leagues, but the results of the rest are more uncertain in Germany and France

BACK-UP

Source: Roland Berger, University of Tübingen

Short-term comp. balance measured by Theil index1) – By quarters [avg. 06/07-10/11]

1) For an exact definition of the measures/indices and the methodology used, see section E

• Most exciting matches are equally exciting everywhere: 3rd and 4th quarters measured by result uncertainty

• Matches between unequal opponents more exciting in Germany and France: Matches whose results are least uncertain (1st quarter) are more exciting in Germany and France – Less difference between top teams and rest of league

0.870.85

0.83

0.910.91

Average

1.021.001.00

1.031.02

4th quarter

1.091.09

1.091.09

1.09

3rd quarter

1.071.07

1.071.07

1.07

2nd quarter

1.031.01

1.00

1.031.03

1st quarter

SpainItalyEnglandFranceGermany

COMMENTS

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30Competitive_Balance_of_Football_Leagues_E.pptx

Theil indexposition

Matches involving top teams are the least uncertain on average –Matches between mid-table teams are the most unpredictable

Theil index by league position

Source: Roland Berger, University of Tübingen

0

5

10

15

20

0 2 4 6 8 10 12 14 16 18 20

Position in the league

SpainItaly

France

EnglandGermany2)

League and Theil index positions [average 2006/07-'10/11]

• The Theil index measures the uncertainty of a game's result by comparing betting odds1)

• Top teams' matches are the least unpredictable: Across all leagues, matches played by the top 3-4 teams have the most certain results

• Mid-table teams play the closest matches: Teams in places 6-12 play the most unpredictable matches

• Attraction for spectators not only from close matches: A game's perceived attractiveness is linkednot only to an uncertain outcome, but also to the possibility of upsets3)

or an away team with a strong brand4)1) For an exact definition of the measures/indices and the methodology used, see section E

2) German league has only 18 places 3) Coates, Humphreys & Zhou (2012) 4) Pawlowski & Anders (2012)

Top teams with least uncertain match resultsCOMMENTS

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D. Outlook: How will the UEFA Financial Fair Play regulations affect the competitive balance?

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How the UEFA Financial Fair Play regulations will affect competitive balance is still somewhat unclear

Outlook: The effect of the UEFA Financial Fair Play regulations

Source: Roland Berger

KEY COMPONENTS

• Closer tracking of UEFA club licensing standards, especially the break-even rule, will require more profitable business operations and less alternative, extraordinary financing

• As of 2013/14, qualification for UEFA club competitions requires compliance with new UEFA Financial Fair Play regulations beginning in 2011/121)

– Aggregate break-even deficit of less than EUR 5 m over fiscal 2011/12 and 2012/13

– Higher aggregate break-even deficit tolerable up to EUR 45 m only if fully covered by shareholders

– No overdue payables, no deteriorating negative equity and positive going-concern validation

1) Selected UEFA FFP regulations only 2) Drut and Raballand (2012, p. 85) argue that "Theoretically, the UEFA 'financial fair-play' rules should yield more financial equality and rebalance European competitions even if differences in revenue will remain". The intra-season dimension of CB could therefore improve.3) Sass (2012, p. 1) argues that "since small clubs are no longer allowed to overspend and thereby invest their way to a greater market size in the future, the model predicts a negative trend in competitive balance." The (dynamic) intra-team dimension of CB could therefore deteriorate.

POSSIBLE EFFECTS ON COMP. BALANCE

UEFA Financial Fair Play regulations could curb extreme dominance by top teams

UEFA Financial Fair Play will somewhat reduce the large deficits of top teams (who may have "bought" their success with these deficits), making leagues more balanced and, in particular, reducing the gap between the top (say 4-6) teams and the rest of the league2)

UEFA FFP could prevent smaller teams from achieving surprising success stories (upsets)

Clubs with high football-related revenue streams (such as Manchester United, Real Madrid, Bayern Munich, etc.) will continue to dominate their domestic leagues3)

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E. Methodology and definitions

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Long-term competitive balance measure: competitive balance ratio (CBR)

Source: Roland Berger, University of Tübingen

• Booth, R. (2004). The Economics of Achieving Competitive Balance in the Australian Football League, 1897–2004. Economic Society of Australia, 23(4), 325-344.

• Humphreys, B. (2002). Alternative Measures of Competitive Balance in Sports Leagues. Journal of Sports Economics, 3(2), 133-148.

• Pawlowski, T., Breuer, C., & Hovemann, A. (2010). Top Clubs’ Performance and the Competitive Situation in European Domestic Football Competitions. Journal of Sports Economics, 11(2), 186-202.

Formula

• Development: Humphreys (2002)• Definition: Humphreys (2002) introduced the competitive balance ratio

(CBR), including both components of competitive balance (intra-team (SDLP) and intra-season (SDTP))

• Interpretation: The index rises as CB increases• Applications: Booth (2004), Pawlowski et al. (2010)

Description

References

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35Competitive_Balance_of_Football_Leagues_E.pptx

Long-term, intra-season UO: standard deviation of league points (SDLP)

Source: Roland Berger, University of Tübingen

• Eckard, E. W. (1998). The NCAA cartel and competitive balance in college football. Review of Industrial Organization, 13, 347-369.

• Humphreys, B. (2002). Alternative Measures of Competitive Balance in Sports Leagues. Journal of Sports Economics, 3(2), 133-148.

• Quirk, J., & Fort, R. D. (1997). Pay dirt: The business of professional team sports. Princeton, NJ: Princeton University Press.

• Scully, G. W. (1989). The business of Major League Baseball. Chicago: University of Chicago Press.

Formula

• Development: Humphreys (2002), modification of the standard deviation of winning percentages (WPCT) by Scully (1998) and Quirk & Fort (1997), for example

• Definition: The standard deviation of league points (SDLP) is calculated by the individual team points in a season (TPt,i) and the average points in a league of N teams

• Interpretation: The index increases as CB decreases• Applications: Eckard (1998), Humphreys (2002)

Description

References

BACK-UP

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36Competitive_Balance_of_Football_Leagues_E.pptx

Long-term, intra-team UO: standard deviation of team points (SDTP)

Source: Roland Berger, University of Tübingen

• Buzzacchi, L., Szymanski, S., & Valletti, T. M. (2001). Static versus dynamic competitive balance: Do teams win more in Europe or the US? Unpublished manuscript, Imperial College Management School, London.

• Humphreys, B. (2002). Alternative Measures of Competitive Balance in Sports Leagues. Journal of Sports Economics, 3(2), 133-148.

Formula

• Development: Buzzacchi et al. (2001), Humphreys (2002)• Definition: The standard deviation of team points (SDTP) was

formulated to reflect team components that correlate to the SDLP. The SDTP is calculated by the individual team points TPt,I and the average points of that team within a period t

• Interpretation: The index increases as CB increases• Applications: Humphreys (2002)

Description

References

BACK-UP

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37Competitive_Balance_of_Football_Leagues_E.pptx

Long-term competitive balance measure: H index of competitive balance (HICB)

Source: Roland Berger, University of Tübingen

• Depken, C. A. (1999). Free Agency and the Competitiveness of MLB. Review of Industrial Organization, 14(3), 205-217.

• Hirschman, A. O. (1964). The Paternity of an Index. The American Economic Review, 54(5), 761.• Michie, J., & Oughton, C. (2004). Competitive balance in football: Trends and effects. (Research Paper 2004 No.

2). London: University of London, Football Governance Research Centre.• Pawlowski, T., Breuer, C., & Hovemann, A. (2010). Top Clubs' Performance and the Competitive Situation in

European Domestic Football Competitions. Journal of Sports Economics, 11(2), 186-202.

Formula

• Development: Hirschman (1964), modified by Depken (1999): Winning percentages, modified by Michie & Oughton (2004): Shares of points

• Definition: The original HHI presents the concentration of turnover within a market. In sport economics research, the HHI was modified to analyze competitive balance (HICB). It thus calculates team-specific squared shares of points (si2) for N teams in season t, where N is the number of teams in the league. The HICB allows for inter-divisional comparisons

• Interpretation: The index increases as CB decreases• Applications (excerpt): Michie & Oughton (2004), Pawlowski et al.

(2010)

Description

References

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Long-term competitive balance measure: C5 index of competitive balance (C5ICB)

Source: Roland Berger, University of Tübingen

• Michie, J., & Oughton, C. (2004). Competitive balance in football: Trends and effects. (Research Paper 2004 No. 2). London: University of London, Football Governance Research Centre.

• Pawlowski, T., Breuer, C., & Hovemann, A. (2010). Top Clubs' Performance and the Competitive Situation in European Domestic Football Competitions. Journal of Sports Economics, 11(2), 186-202.

Formula

• Development: Industrial Economics, Michie & Oughton (2004)• Definition: The concentration ratio ( ) is based on shares of points

( ) for N teams in comparison to the league as a whole. The CR5 index is calculated to display the share of points for the five top teams in a league. To ensure comparability, the measure must be adjusted for the league size. The so-called C5 index of competitive balance (C5ICB) is equal to the relation of actual CR5 to ideal CR5. C5ICB shows the concentration of points and thus the level of team domination

• Interpretation: The index increases as CB decreases• Applications: Michie & Oughton (2004), Pawlowski et al. (2010)

Description

References

iCRiS

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Medium-term competitive balance measure: UCS measure

Source: Roland Berger, University of Tübingen

• Czarnitzki, D., & Stadtmann, G. (2002). Uncertainty of outcome versus reputation: empirical evidence for the first German football division. Empirical Economics, 27(1), 101-112.

• Janssens, P., & Késenne, S. (1987). Belgian football attendances. Tijdschrift voor Economie en Management, 32(3), 305-315.

• Pawlowski, T., & Anders, C. (2012). Stadium attendance in German professional football – The (un)importance of uncertainty of outcome reconsidered. Applied Economics Letters, 19(16), 1553-1556.

Formula

• Development: Janssens & Késenne (1987)• Definition: CCS refers to the points a team needs to win the

championship. b denotes the points already scored at a certain point in time. m is the maximum number of points that can be scored in a season. t stands for a given match day. The index has been modified to simplify the analyses

• Interpretation: The index increases as the uncertainty of the championship outcome increases

• Applications (excerpt): Czarnitzki & Stadtmann (2002), Pawlowski & Anders (2012)

Description

References

Game 1, …, n

No. of games per season

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Medium-term competitive balance measure: UCL measure

Source: Roland Berger, University of Tübingen

• Janssens, P., & Késenne, S. (1987). Belgian football attendances. Tijdschrift voor Economie en Management, 32(3), 305-315.

• Pawlowski, T., & Anders, C. (2012). Stadium attendance in German professional football – The (un)importance of uncertainty of outcome reconsidered. Applied Economics Letters, 19(16), 1553-1556.

Formula

• Development: Pawlowski & Anders (2012), modification of Janssens & Késenne (1987)'s UCS measure

• Definition: CCL refers to the points a team requires to qualify for the UEFA Champions League. b denotes the points already scored at a certain point in time. m is the maximum number of points that can be scored in a season. t stands for a given match day. The index has been modified to simplify the analyses

• Interpretation: The index increases as the uncertainty of the UEFA Champions League qualification outcome increases

• Applications: Pawlowski & Anders (2012)

Description

References

Game 1, …, n

No. of games per season

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Medium-term competitive balance measure: UREL measure

Source: Roland Berger, University of Tübingen

• Janssens, P., & Késenne, S. (1987). Belgian football attendances. Tijdschrift voor Economie en Management, 32(3), 305-315.

• Pawlowski, T., & Anders, C. (2012). Stadium attendance in German professional football – The (un)importance of uncertainty of outcome reconsidered. Applied Economics Letters, 19(16), 1553-1556.

Formula

• Development: Developed in this study as a modification of Janssens & Késenne (1987)'s UCS measure

• Definition: CNOREL refers to the points a team needs to avoid relegation. b denotes the points already scored at a certain point in time

• Interpretation: The index increases as the uncertainty of the relegation outcome increases

• Applications: Applied for the first time in this study

Description

References

Game 1, …, n

No. of games per season

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Short-term competitive balance measure: Theil measure

Source: Roland Berger, University of Tübingen

• Development: Theil (1967)• Definition: pi indicates the home team's probability of winning, the

away team's probability of winning and the probability that a match will be drawn based on betting odds

• Interpretation: The index increases as the (a priori) uncertainty of the match outcome increases

• Applications (excerpt): Buraimo & Simmons (2008), Czarnitzki & Stadtmann (2002), Pawlowski & Anders (2012)

• Buraimo, B. & Simmons, R. (2008). Do sports fans really value uncertainty of outcome: evidence from the English Premier League. International Journal of Sport Finance, 3, 146-155.

• Czarnitzki, D. & Stadtmann, G. (2002). Uncertainty of outcome versus reputation: empirical evidence for the first German football division. Empirical Economics, 27, 101–112.

• Pawlowski, T. & Anders, C. (2012). Stadium attendance in German professional football – The (un)importance of uncertainty of outcome reconsidered. Applied Economics Letters, 19 (16), 1553-1556

• Theil, H. (1967). Economics and information theory. North Holland: Amsterdam.

Formula Description

References

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43Competitive_Balance_of_Football_Leagues_E.pptx

List of references (1/3)

Booth, R. (2004). The Economics of Achieving Competitive Balance in the Australian Football League, 1897–2004. Economic Society of Australia, 23(4), 325-344.

Buraimo, B., & Simmons, R. (2008). Do sports fans really value uncertainty of outcome: evidence from the English Premier League. International Journal of Sport Finance, 3, 146-155.

Buzzacchi, L., Szymanski, S., & Valletti, T. M. (2001). Static versus dynamic competitive balance: Do teams win more in Europe or the US? Unpublished manuscript, Imperial College Management School, London.

Cairns, J. P., Jennett, N., & Sloane, P. (1986). The economics of professional team sports: A survey of theory and evidence. Journal of Economic Studies, 13(1), 3–80.

Czarnitzki, D., & Stadtmann, G. (2002). Uncertainty of outcome versus reputation: empirical evidence for the first German football division. Empirical Economics, 27, 101–112.

Depken, C. A. (1999). Free Agency and the Competitiveness of MLB. Review of Industrial Organization, 14(3), 205-217.

Source: Roland Berger, University of Tübingen

Coates, D., Humphreys, B.R. & Zhou (2012). Outcome uncertainty, reference-dependent preferences and live game attendance. University of Alberta Working Paper Series (No. 2012-07).

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44Competitive_Balance_of_Football_Leagues_E.pptx

List of references (2/3)

Eckard, E. W. (1998). The NCAA cartel and competitive balance in college football. Review of Industrial Organization, 13, 347-369.

Hirschman, A. O. (1964). The Paternity of an Index. The American Economic Review, 54(5), 761.

Humphreys, B. (2002). Alternative Measures of Competitive Balance in Sports Leagues. Journal of Sports Economics, 3(2), 133-148.

Janssens, P., & Késenne, S. (1987). Belgian football attendances. Tijdschrift voor Economie en Management, 32(3), 305-315.

Michie, J., & Oughton, C. (2004). Competitive balance in football: Trends and effects. (Research Paper 2004 No. 2). London: University of London, Football Governance Research Centre.

Neale, W. C. (1964). The peculiar economics of professional sports: a contribution to the theory of the firm in sporting competition and in market competition. Quarterly Journal of Economics, 78, 1-14.

Source: Roland Berger, University of Tübingen

Drut, B. & Raballand, G. (2012). Why does financial regulation matter for European professional football clubs? International Journal of Sport Management and Marketing, 11(1/2), 73-88.

Pawlowski, T. (2012). Wettbewerbsintensität im Profifußball - Eine empirische Untersuchung zur Bedeutung für die Zuschauer. Wiesbaden: Springer-Gabler Research. ISBN: 978-3-658-00210-7(Abschlussbericht im Rahmen des UEFA Research Grant Programme).

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45Competitive_Balance_of_Football_Leagues_E.pptx

List of references (3/3)

Pawlowski, T., & Anders, C. (2012). Stadium attendance in German professional football – The (un)importance of uncertainty of outcome reconsidered. Applied Economics Letters, 19(16), 1553-1556.

Pawlowski, T., Breuer, C., & Hovemann, A. (2010). Top Clubs’ Performance and the Competitive Situation in European Domestic Football Competitions. Journal of Sports Economics, 11(2), 186-202.

Rottenberg, S. (1956). The baseball players’ labor market. Journal of Political Economy, 64(3), 242–258.

Scully, G. W. (1989). The business of Major League Baseball. Chicago: University of Chicago Press.

Source: Roland Berger, University of Tübingen

Theil, H. (1967). Economics and information theory. North Holland: Amsterdam.

Quirk, J., & Fort, R. D. (1997). Pay dirt: The business of professional team sports. Princeton, NJ: Princeton University Press.

Sass, M. (2012). Long-term competitive balance under UEFA financial fair play regulations. University Magdeburg Working Paper Series (No. 5/2012).

Szymanski, S. (2011). Ist "Financial Fairplay" gerecht? - Betrüger werden belohnt. Interview mit Professor Stefan Szymanski in 11 Freunde (22.05.2011).

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Appendix

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Pronounced inter-season deviations in some cases –Moving averages reveal long-term trends

BACK-UP

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

H index1) C5 index1)

Seasonal deviations of competitive balance indices

102

104

106

108

110

112

114

95/9689/9086/87 92/93 98/99 01/02 04/05 10/1107/08120

125

130

135

140

145

150

155

10/1107/0804/0501/0298/9995/9692/9389/9086/87

England (mov. avg.)France (mov. avg.)Italy (mov. avg.)

Spain (mov. avg.)Germany

EnglandFrance

ItalySpain

Germany (mov. avg.)

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The Theil index can be expressed in absolute or relative terms –There is no significant difference in the outcomes

BACK-UP

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

Theil index [absolute]1) Theil index [% of exciting games]1)

Theil index – Absolute and relative

50

55

60

65

70

75

2010/112009/102008/092007/082006/07

1.065

1.060

1.055

1.050

1.045

1.040

1.035

1.030

1.025

1.0202010/112009/102008/092007/082006/07

Germany France England Italy Spain

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The UCS measure can be presented in absolute or relative terms –There is no significant difference in the outcomes

BACK-UP

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

UCS measure [absolute]1) UCS measure [% of exciting games]1)

UCS measure – Absolute and relative

30

35

40

45

50

55

60

65

70

75

2010/112009/102008/092007/082006/07

1.4

1.3

1.2

1.1

1.0

0.9

0.8

0.7

0.6

0.5

0.4

0.32010/112009/102008/092007/082006/07

ItalyEnglandFranceGermany Spain

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The UCL measure can be presented in absolute or relative terms –There are only slight differences in the outcomes

BACK-UP

Source: Roland Berger, University of Tübingen

1) For an exact definition of the measures/indices and the methodology used, see section E

UCL measure [absolute]1) UCL measure [% of exciting games]1)

UCL measure – Absolute and relative

60

65

70

75

80

85

90

95

2010/112009/102008/092007/082006/070

1

2

3

4

5

6

7

2010/112009/102008/092007/082006/07

SpainItalyEnglandFranceGermany

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