entry barriers and entry deterrence: sequential games

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Entry barriers and entry deterrence: Sequential games

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Page 1: Entry barriers and entry deterrence: Sequential games

Entry barriers and entry deterrence: Sequential games

Page 2: Entry barriers and entry deterrence: Sequential games

Suggested reading

• Allen et al. 2009. Managerial Economics. Norton. Chapters 6 (pp170) 11

• Kreps, D. M. 2004. Microeconomics for Managers. Norton. Chapters 20-23

• Frank, R. H. 2008. Microeconomics and behaviour. McGraw Hill. Chapters 12-13

• Wall,S., Minocha, S. and Rees, B. 2010. International Business, Pearson. Chapter 7

• Rasmusen, E. 2007. Games and Information, Blackwell. Chapters 1-2, 4-5

• Carmichael, F. 2004. A Guide to Game Theory, Pearson. Chapters 1-4, 7-8

Page 3: Entry barriers and entry deterrence: Sequential games

Entry barriers and entry deterrence

• Objectives are for you to be able to:– Explain what is meant by the idea of a

credible threat e.g. the threat to fight the entry of a new firm into an industry.

– Use game theory to show how an incumbent monopolist (or oligopolistic cartel) might be able to deter entry even though fighting entry is costly.

Page 4: Entry barriers and entry deterrence: Sequential games

Porter’s Five Forces again…• A firm is more profitable:

– The less intense the rivalry among existing firms (monopoly or if oligopoly -collusion vs. competition)

– The less the danger of potential entrants and the higher barriers to entry

– The fewer substitutes for the firm’s products (the more firms that sell complements)

– The weaker the bargaining power of customers (e.g. in sports)– The weaker the bargaining power of suppliers

Page 5: Entry barriers and entry deterrence: Sequential games

Implications of the analysis so far i.e. in relation to oligopoly collusion

• Oligopoly collusion (restrained rivalry) can be sustained in some circumstances – but new entrants to the sector also have to be

kept out – HOW?

Page 6: Entry barriers and entry deterrence: Sequential games

Entry barriers and entry deterrence

• If firms in an industry are profitable, there are likely to be potential entrants– Successful entry will lower profits for

existing/incumbent firms– Therefore existing firms will want to impede (deter)

entry

• Question: what kinds of entry barrier exist? Hint: some are ‘tangible or semi tangible’ and some are based on beliefs (psychological)– See e.g. Kreps chapter 20 or Frank chapter 12 pp.

413-7

Page 7: Entry barriers and entry deterrence: Sequential games

Types of entry barriers (1)• Tangible and semi tangible

– Put entrants at a disadvantage in the competition that takes place after entry e.g.:

• Cost– economies of scale: large firms more able to withstand cost cutting (price

war)– economies of scope : large diversified firms have cost advantages

• knowledge based advantages (technology gives cost advantages)

• access to resources e.g. financial or access to natural resources or distribution channels

• customer loyalty – goodwill and reputation (brands, niche markets), lock-in (e.g. due to compatibility)

• legal factors e.g. certification, subsidies, trade barriers and patents

• Strategic entry barriers e.g. output and pricing decisions (product development, bundling products, loss leaders, limit pricing)

Page 8: Entry barriers and entry deterrence: Sequential games

Types of entry barriers (2)

• Psychological barriers (beliefs)– Reputation for aggressive response to entry –

fighting is a credible threat even if costly for the incumbent (e.g. price war)

• Key is credibility

Page 9: Entry barriers and entry deterrence: Sequential games

Analysing the idea of credibility in relation to entry barriers and entry deterrence

• Sequential moves mean that players move in turns – so one player moves first and the other follows e.g.:

– Firm A erects an entry barrier• Pre-emptive investment strategies – tangible entry

barrier• threatens to fight a price war if there is entry -

Psychological entry barrier

– Firm B decides whether to enter or not• See Kreps chapters 21 and 23, Allen chapter 11

and Frank chapter 13 (especially pp.463-467)

Page 10: Entry barriers and entry deterrence: Sequential games

Credible threats• A key idea in the analysis of sequential

move games is that of credibility• the credibility of a threat or promise depends

on whether the action would actually be carried out if it was tested; the potential gain needs to outweigh any cost • A threat to enter a market whatever the cost • A threat to fight entry (e.g. by fighting a price

war) - a psychological entry barrier• In either case can pre-emptive action be taken by

those threatened (to neutralise the threat) or those doing the threatening (to make the threat credible)• e.g. by introducing a new product or expand a

product line = a tangible entry barrier

Page 11: Entry barriers and entry deterrence: Sequential games

Example 1: pre-emptive investment decisions and credible threats in the

aircraft industry

• The aircraft companies Boeing and Airbus are involved in a strategic game, in this example Airbus moves first– Airbus has to decide whether to invest in new plane

or not i.e. a new product line/market– Boeing is also deciding whether to invest in a new

plane but because of lags its production process it has to make its decision after Airbus has made its decision

Page 12: Entry barriers and entry deterrence: Sequential games

The firms’ payoffs• The firms’ payoffs reflect the following:

– Despite high development costs there is a market for the new plane which could be supplied profitably

– But the market for aircraft is limited and there is only room for one company to supply a new plane profitably

• If both companies supply a new plane they would be in direct competition with each other and both would make lower profits due to undercutting

– And large economies of scale means that high levels of output are needed to make profits

» SO THE MARKET IS NOT COMPETITIVE

Page 13: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

A decision tree for a game between Boeing and Airbus

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£50m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m (4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

New market

Enters same new market

Page 14: Entry barriers and entry deterrence: Sequential games

Boeing’ threat• Boeing threatens to also enter the new

market - by supplying the new plane - if Airbus supplies the new plane

• By making this threat Boeing hopes to deter Airbus from supplying the new plane so it can make the new plane itself

• Is this a credible threat? – would this threat deter Airbus from building

the new plane?– can Airbus take pre-emptive action?

Page 15: Entry barriers and entry deterrence: Sequential games

Game theoretic analysis: Is Boeing’ threat credible?

• Boeing’ threat is only credible if Boeing would actually carry it out if Airbus built the new plane– We need to think about what Boeing would

actually do if Airbus built the new plane or did not.

• Whether the threat is credible or not depends on Boeing’s payoff if the threat is carried out and its payoff if it isn’t

Page 16: Entry barriers and entry deterrence: Sequential games

Game theoretic analysis: Is Boeing’ threat credible?

• We need to work backwards from the last decision points of the game (B1 and B2) to the decision point at the start of the game (A)

• This is called backward induction

Page 17: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Analysing the game tree: what will Boeing actually do at B1 and B2?

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£50m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m (4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 18: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Boeing’s decisions

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£50m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m (4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 19: Entry barriers and entry deterrence: Sequential games

• Boeing will supply the new plane if Airbus does not

• Boeing will not supply the plane if Airbus does– therefore the threat to do so is not credible– So what will Airbus do?

Boeing’ choices

Page 20: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Analysing the game tree: what will Airbus do at A?

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£50m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m (4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 21: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Analysing the game tree: what will Airbus do at A?

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£50m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m (4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 22: Entry barriers and entry deterrence: Sequential games

The game theoretic prediction

• Backward induction implies that Airbus will supply the new plane and Boeing will not– Boeing’ threat to also supply the new plane if

Airbus supplies the plane is not a credible threat and therefore it does not deter Airbus

• Airbus will make higher profits – it has a first mover advantage and take the

pre-emptive investment choice

Page 23: Entry barriers and entry deterrence: Sequential games

Exercise• The aircraft industry is considered to be strategically

important by both the USA and the EU and therefore worth protecting by subsidising or using tariffs (see Allen Chapter 16)

• There are ongoing disputes between the USA and the EU regarding ‘unfair’ subsidisation of Boeing and Airbus in developing aircraft

• Construct a game tree and use backward induction to predict the outcome of the game if Boeing receives a subsidy of the equivalent of £12m from the US government if and only if it builds the plane– In the new version of the game is Boeing’s threat to build the

new plane credible?

Page 24: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Analysing the new game tree: what will happen?

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£(50+12)m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m + £12m = £2m

(4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 25: Entry barriers and entry deterrence: Sequential games

no p

lane

no plane

no plane

new plane

new plane

new plane

Analysing the new game tree

Airbus +£10mBoeing +£10m

(1)

Airbus +£1mBoeing +£(50+12)m

(2)

Airbus +£50mBoeing +£1m

(3)

Airbus –£10mBoeing –£10m + £12m = £2m

(4)

Boeingdecides

B2

Airbusdecides A

Boeingdecides

B1

Page 26: Entry barriers and entry deterrence: Sequential games

The game theoretic prediction

• Government intervention changes the outcome of the strategic game by making Boeing’s threat credible• Implication: government intervention can change the

outcome of transnational strategic games played by oligopolists

• But what about the long-term?– What do you think the EU will do?

• And what will be the outcome of the EU’s decision?

Page 27: Entry barriers and entry deterrence: Sequential games

Example 2: Entry deterrence and reputation

E M1 4

-1 1

E

M1

M2

Enter

Concede

Stay OutDo nothing

Fight

0 8

E = Potential market entrant - first moverM = Incumbent monopolist (or oligopoly cartel – effectively a monopoly) making monopoly profits

Entrant decides whether to enter or not.Monopolist only has to decide whether to fight or concede if entrant enters.

Page 28: Entry barriers and entry deterrence: Sequential games

Example 2: Entry deterrence and reputation

E M1 4

-1 1

E

M1

M2

Enter

Concede

Stay OutDo nothing

Fight

0 8

E = Potential market entrant - first moverM = Incumbent monopolist (or oligopoly cartel – effectively a monopoly) making monopoly profits

Is the incumbent’s threat to fight credible?What outcome do you predict in this game?

Page 29: Entry barriers and entry deterrence: Sequential games

Entry deterrence and reputation

E M1 4

-1 1

E

M1

M2

Enter

Concede

Stay OutDo nothing

Fight

0 8

Threat to fight is not credible – there will be entry followed by concession, unless the monopolist (or cartel) can make the threat to fight credible by pre-committing to fight

Page 30: Entry barriers and entry deterrence: Sequential games

Making the threat to fight credible

• Firms can take costly pre-emptive actions to make a psychological barrier credible e.g.:– Excess capacity for increasing output (lowers prices)– Holding patents or products as backup if there is entry– Choosing high fixed cost (economies of large scale)

technologies – so needs to protect market share– Investing in ability to retaliate in other markets

• i.e. some makes some unrecoverable ‘sunk’ cost that makes fighting optimal

– There is a commitment cost (c) but a reward (d) if there is entry and the monopolist fights

Page 31: Entry barriers and entry deterrence: Sequential games

Making the threat to fight credible

E M1 4-c

-1 1+d

E

M1

M2

Enter

Concede

Stay OutDo nothing

Fight

0 8-c

The monopolist (or cartel) invests in some unrecoverable ‘sunk’ cost that makes fighting optimal: Commitment cost = c Generates reward if fights entry =d.

Under what conditions will entry be fought?

Page 32: Entry barriers and entry deterrence: Sequential games

Making the threat to fight credible• The threat to fight is credible only if:(payoff from fighting) 1 + d > 4 – c (payoff from concession)

or -c < 1+ d - 4 (divide through by -1)

or c > -1 - d + 4 or c > 3-d (1)

• But the commitment will only be made if payoff in game without commitment (4) is greater than 8-c:

8 – c > 4 or -c > -4 or c < 4 (2)

• Combining (1) and (2): The cartel will invest in the commitment and entry will be deterred if:

4 > c > 3 –d (3)

Page 33: Entry barriers and entry deterrence: Sequential games

Making the threat to fight credible• The threat to fight is credible if:

1 + d > 4 – c or c > 3-d (1)• The commitment will only be made if:

8 – c > 4 (2)• Combining (1) and (2)implies: 4 > c > 3 –d (3)

Example: If d = 2 and c = 3 both conditions are satisfied(1) 1+d = 3, 4-c = 1 so 1=d >4-c and (2) 8-c = 5 > 4Which must mean that 4 > c (= 3) > 3-d (= 1)1. Think of two other values for d and c that would satisfy

the conditions2. Can you provide any interpretation of what these

conditions mean (in terms of the cost and rewards of commitment - the relative payoffs)?

Page 34: Entry barriers and entry deterrence: Sequential games

Implication• Firms can make tangible and costly investments

(commitments) that make psychological entry barriers credible – but costs (c) can’t be too high and gains (d) need to be sufficiently large so that:– Payoff from deterring entry with the investment cost

(8-c) is greater than the payoff without incurring the commitment (4)

– Increase in payoff from fighting with commitment (d) needs to large enough so that fighting is optimal

Page 35: Entry barriers and entry deterrence: Sequential games

Uncertainty and reputation• The costly commitment to fight might not even

need to be made if there is;– Uncertainty e.g. about whether the commitment has

been made or not e.g. if the probability of fighting is high enough

– And/or the scenario is repeated (indefinitely or infinitely) and the cartel has or can gain a reputation for fighting entry – its worth a costly fight initially in order to create a reputation for fighting

• Previous aggressive behaviour – reputation: E.g. Procter & Gamble deterred Union Carbide from entry into the disposable diaper industry by making it look like it was up for a fight with a series of price cutting strategies (see e.g. Kreps chapter 23 – page 586)

Page 36: Entry barriers and entry deterrence: Sequential games

Implications• Analysis of repeated prisoners’ dilemma

suggests that oligopolists may be able to sustain collusion in order to extract monopoly profits

• and sequential game theory shows that they may be able to protect their collusive agreements through psychological entry barriers e.g. threatening to fight entry - as long as this is credible – But the creation of entry barriers and entry

deterring strategies are often illegal……….

Page 37: Entry barriers and entry deterrence: Sequential games

strik

efight

Don’t strike

Concede

The same kind of analysis might be applicable to a situation of industrial conflict – see e.g. Washington Post cases - what’s your prediction?

Union –£100mEmployer –£150m

Union +300mUnion +300mEmployer -£500m (but union is uncertain about employer’s payoff)

Union +£50mEmployer +£200m

Employer introduces labour reforms

E2

UNIONU

Employer

E1

Page 38: Entry barriers and entry deterrence: Sequential games

strik

efight

Don’t strike?

Concede

The same kind of analysis might be applicable to a situation of industrial conflict – see e.g. Washington Post cases - what’s your prediction?

Union –£100mEmployer –£150m

Union +300mUnion +300mEmployer -£500m (but union is uncertain about employer’s payoff)

Union +£50mEmployer +£200m

Employer introduces labour reforms

E2

UNIONU

Employer

E1

Page 39: Entry barriers and entry deterrence: Sequential games

Inva

defight

Don’t invade

Give in

This game theoretic model could also be used to analysed some international relations scenarios: Is the USA’s threat to invade credible – this depends on what will the small country does if the USA invades – what will it do?

USA –£100mSmall country –£150m

USA +300mSmall Country +£50m

USA +£50mSmall Country +£200m

Small countrydoes nothing

S2

TheUSA U

Small country decides

S1

Page 40: Entry barriers and entry deterrence: Sequential games

Inva

defigh

t

Don’t invade

Give in

Since the small country will give in if the USA invades - the USA will invade – its

threat is credible

USA –£100mSmall country –£150m

USA +300mUSA +300m

Small Country Small Country +£50m+£50m

USA +£50mSmall Country +£200m

Small countrydoes nothing

B2

USAA

Small countr

y decide

sB1

Page 41: Entry barriers and entry deterrence: Sequential games

A very diffierent example: Robbing a bank: Is Bert’s threat to blow himself

and Angela up credible?

A

B1

B2

B A-, -

-100, 100

1000, -10

Demandsmoney

Detonate

NS

Not Detonate and take the money

B

S

Not Detonate

B = Bert the bank robberA = Angela the bank cashier; S =surrender; NS = not surrender- implies infinite pain and suffering and/or death

Page 42: Entry barriers and entry deterrence: Sequential games

Robbing a bank: Is Bert’s threat to blow himself and Angela up credible?

A

B1

B2

B A-, -

-100, 100

1000, -10

Demandsmoney

Detonate

NS

Not Detonate

B

S

Not Detonate

B = Bert the bank robberA = Angela the bank cashier; S =surrender; NS = not surrender- implies infinite pain and suffering and/or death

Page 43: Entry barriers and entry deterrence: Sequential games

Test your understanding

Entry barriers and entry deterrence1.Explain what is meant by the idea of a credible threat e.g. the threat to fight the entry of a new firm into an industry. 2.Use game theory to show how an incumbent monopolist (or oligopolistic cartel) might be able to deter entry even though fighting entry is costly.