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Kai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non-signatories in a climate agreement An analysis of coalition stability Kai Lessmann * Ottmar Edenhofer* Robert Marschinski* Michael Finus WCERE 2010, Montreal * Potsdam Institute for Climate Impact Research University of Exeter Business School 1 3 2 4 5 C

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Page 1: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 1

Emissions trading with non­signatories in a climate agreement 

An analysis of coalition stability

Kai Lessmann*Ottmar Edenhofer*Robert Marschinski*Michael Finus♦

WCERE 2010, Montreal

* Potsdam Institute for Climate Impact Research♦ University of Exeter Business School

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Page 2: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 2

International Environmental Agreements (IEA)

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coalitionpermittrade

CDMcredittrade

non-member

• Coalition formation: two stage game– Stage 1: Membership game

● Players either sign the IEA or do not

● CDM credit supplier remains impartial

● Internal/external stability (  Carraro/Siniscalco 1993)→

– Stage 2: Emission game● Players decide on 

investments (  emission trajectories)→and trade (  allowances choice)→

● Partial Agreement Nash Equilibrium (  Chander/Tulkens 1995)→

● Our aim:Design permit trade with non­members (“CDM”) to improve the IEA

CDM credit supplier

Page 3: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 3

Modeling Endogenous Allowance Choices

● Trading allowances: net permit exports = allowances ­ emissions

● Choose

–  q > e to sell CDM credits

–  q < e to import CDM credits

–  q  low to reduce global warming, as total allowances cause damages

● Additionality – CDM trader must reduce below “no trade” baseline no “hot air”→

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coalitionpermittrade

CDMcredittrade

non-member

CDM credit supplier

time

allowances,emissions allowance choice q

tradable credits xemissions e

Cf. Helm (2003) JPE, Carbone, Helm and Rutherford (2009) JEEM

Page 4: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 4

Model of International Climate Agreements (MICA)

welfare

consumption

output

labor capitallaborefficiency

mitigation

emissionintensity

● Model builds on Lessmann et al. 2009, Lessmann/Edenhofer 2010

● Economic dynamics: 

– Regions maximize intertemporal welfare(cf. Nordhaus' RICE)

– Trade in one good and emission allowances

– Eight symmetric regions + CDM supplier

● Climate dynamics:

– emissions   concentration   temperature→ →

– climate change damages

● Data: global aggregates calibrated to common scenarios

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coalitionpermittrade

CDMcredittrade

Page 5: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 5

Impact on Coalition Stability

● Stability Function: inside payoff – outside payoff

● Largest stable coalition: 2

Stability Functions

No CDMbaseline

Coalition Size

Page 6: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 6

Impact on Coalition Stability (2)

CDM

No CDM

Stability Functions

● Stability Function: inside payoff – outside payoff

● Largest stable coalition: 2

● Introduction of CDM 

– stability decreased

– coalition size 2 remains 

● Why?

Coalition Size

Page 7: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 7

Impact on Coalition Stability (3)

CDM

No CDM

Stability Functions Global Emissions

CDM

No CDM

● More abatement in coalition   reduced global emissions→

● Stronger incentive to free­ride

Coalition Size Coalition Size

Page 8: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 8

Improving CDM Design

● Two approaches to (maybe) overcome this negative result:

– Selling targets● Idea: Shift the gains from CDM trade to the coalition● Impose more stringent upper bounds on CDM-trader’s allowance choice

– CEA CDM trade● Idea: Negotiate CDM trade after coalition formation● CDM trade ensure cost effectiveness

(but is not part of the cost/benefit trade-off in the allowance choice)

time

CDM traderallowances

no tradeselling target

allowance choicetradable credits

no trade

time

Coalitionallowances

no trade

“no lower than no trade”

CEA constraint

Page 9: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 9

Selling targets: Welfare effects

● No selling targets: 

– welfare gains from CDM­trade for● CDM-trader (––) ● Non-member (––)

● Selling targets 

– shift welfare gains from CDM trader to Members, leaving Non­members unaffected

– free­riding incentive remains high

● CDM­trader gain < 0:not profitable   no trade→

● Trade­off: profitability vs. stability

fixed coalition size of 6

Page 10: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 10

Selling targets: Stability vs. Profitability

Coalition Size

Selling Target

profitable CDM trade

stable coalitions

→ Selling targets work in principle, but are restricted by non-profitability

Page 11: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 11

CEA CDM: Coalition Stability

Stability Functions

● Stability is improved, but the effect remains small

● This may be due to relatively small volume of CDM trade

 → Boost CDM trade by introducing some heterogeneity

CDM No CDM

CEA CDM

Coalition Size

Page 12: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 12

CEA CDM: Introducing Heterogeneity

Abatement

Coalition (all members) CDM-trader

MCi

MBC

MBi

Abatement

MCi

MBi

SY

MM

ET

RIC

SY

MM

ET

RIC

CDMContributionto Abatement

17%

AN O – T R A D E for a 5 playercoalition

Page 13: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 13

CEA CDM: Introducing Heterogeneity

Abatement

Coalition (all members) CDM-trader

MCi

MBC

MBi

Abatement

MCi

MBi

Abatement

MCi

MBC

MBi

Abatement

MCi

MBi

SY

MM

ET

RIC

SY

MM

ET

RIC

HE

TE

RO

GE

NE

OU

S

HE

TE

RO

GE

NE

OU

S

CDMContributionto Abatement

17%

67%

for a 5 playercoalition

AN O – T R A D E

Page 14: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 14

CEA CDM: Results from heterogeneous players

Stability Functions Stability and profitability of trade

profitable CDM trade

stable coalitions

Coalition SizeCoalition Size

Sel

ling

targ

etCDM

No CDMbaseline

CEA CDM

Page 15: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 15

CEA CDM: Welfare implication of hot air

● Positive effect of CDM trade on treaty participation increases with traded volume (heterogeneity)

● Net­effect of “hot air” ambiguous: 

– dillutes the agreement and thus causes welfare loss

– improves participation – which may outweigh the welfare loss

with additionalitywith “hot air”

Degree of Heterogeneity

% o

f soc

ial o

ptim

um

Page 16: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

Kai Lessmann, WCERE 2010 Montreal 16

Summary

1. Depending on its design, 

– CDM may discourage participation (CBA) or

– CDM may foster participation (CEA)

2. Selling targets may help the agreement in two ways:

– by shifting welfare gains of CDM trade to coalition members (CBA)

– by stabilizing a dilluted agreement by allowing “hot air” (CEA)

3. Large enough differential, large credit trade volume necessary

Page 17: Emissions trading with nonsignatories in a climate …lessman/slides/wcere2010.pdfKai Lessmann, WCERE 2010 Montreal 1 Emissions trading with non signatories in a climate agreement

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Thank your for your time.