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Cartel Stability under an Optimal Sharing Rule

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  • Hans-Peter Weikard

    (Wageningen University)

Abstract

Previous work on the formation and stability of cartels has focused on the case of identical players. This assumption is very restrictive in many economic environments. This paper analyses stability of cartels in games with heterogeneous players and spillovers to non-members. I introduce a sharing rule for coalition payoffs, called "optimal sharing" which stabilises all cartels that are possibly stable under any rule. Under optimal sharing the grand coalition is the unique stable cartel if spillovers are negative. I introduce a new property, called "non-essentiality" and determine the set of stable cartels under optimal sharing if spillovers are positive and if the non-essentiality property applies. Finally I analyse cartel stability under optimal sharing in simple public goods game with heterogeneous players. My results show – in contrast to earlier findings for identical players – that large coalitions may well be stable.

Suggested Citation

  • Hans-Peter Weikard, 2005. "Cartel Stability under an Optimal Sharing Rule," Working Papers 2005.77, Fondazione Eni Enrico Mattei.
    • Handle: RePEc:fem:femwpa:2005.77
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    1. Sylvie Thoron, 1998. "Formation of a Coalition-Proof Stable Cartel," Canadian Journal of Economics, Canadian Economics Association, vol. 31(1), pages 63-76, February.
    2. Effrosyni Diamantoudi & Eftichios S. Sartzetakis, 2006. "Stable International Environmental Agreements: An Analytical Approach," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 8(2), pages 247-263, May.
    3. Hans-Peter Weikard & Michael Finus & Juan-Carlos Altamirano-Cabrera, 2006. "The impact of surplus sharing on the stability of international climate agreements," Oxford Economic Papers, Oxford University Press, vol. 58(2), pages 209-232, April.
    4. Poyago-Theotoky, Joanna, 1995. "Equilibrium and Optimal Size of a Research Joint Venture in an Oligopoly with Spillovers," Journal of Industrial Economics, Wiley Blackwell, vol. 43(2), pages 209-226, June.
    5. Michael Hoel & Kerstin Schneider, 1997. "Incentives to participate in an international environmental agreement," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 9(2), pages 153-170, March.
    6. Matthew McGinty, 2007. "International environmental agreements among asymmetric nations," Oxford Economic Papers, Oxford University Press, vol. 59(1), pages 45-62, January.
    7. Debraj Ray & Rajiv Vohra, 1998. "A Theory of Endogenous Coalition Structures," Working Papers 98-1, Brown University, Department of Economics, revised Jan 1998.
    8. Ray, Debraj & Vohra, Rajiv, 1999. "A Theory of Endogenous Coalition Structures," Games and Economic Behavior, Elsevier, vol. 26(2), pages 286-336, January.
    9. Maria Montero, 2023. "Coalition Formation in Games with Externalities," Dynamic Games and Applications, Springer, vol. 13(2), pages 525-548, June.
    10. Maarten F. Cornet, 2003. "Partition function bargaining with public demands," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 22(4), pages 845-862, November.
    11. Michael Hoel, 1992. "International environment conventions: The case of uniform reductions of emissions," Environmental & Resource Economics, Springer;European Association of Environmental and Resource Economists, vol. 2(2), pages 141-159, March.
    12. Carraro, Carlo & Siniscalco, Domenico, 1993. "Strategies for the international protection of the environment," Journal of Public Economics, Elsevier, vol. 52(3), pages 309-328, October.
    13. Bernheim, B. Douglas & Peleg, Bezalel & Whinston, Michael D., 1987. "Coalition-Proof Nash Equilibria I. Concepts," Journal of Economic Theory, Elsevier, vol. 42(1), pages 1-12, June.
    14. Yi, Sang-Seung, 1997. "Stable Coalition Structures with Externalities," Games and Economic Behavior, Elsevier, vol. 20(2), pages 201-237, August.
    15. Herrero, Carmen & Maschler, Michael & Villar, Antonio, 1999. "Individual rights and collective responsibility: the rights-egalitarian solution," Mathematical Social Sciences, Elsevier, vol. 37(1), pages 59-77, January.
    16. Barrett, Scott, 2001. "International cooperation for sale," European Economic Review, Elsevier, vol. 45(10), pages 1835-1850, December.
    17. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-894, Supplemen.
    18. Carlo Carraro (ed.), 2003. "The Endogenous Formation of Economic Coalitions," Books, Edward Elgar Publishing, number 2999.
    19. Johan Eyckmans & Michael Finus, 2004. "An Almost Ideal Sharing Scheme for Coalition Games with Externalities," Energy, Transport and Environment Working Papers Series ete0414, KU Leuven, Department of Economics - Research Group Energy, Transport and Environment.
    20. Donsimoni, Marie-Paule, 1985. "Stable heterogeneous cartels," International Journal of Industrial Organization, Elsevier, vol. 3(4), pages 451-467, December.
    21. Bloch, Francis, 1996. "Sequential Formation of Coalitions in Games with Externalities and Fixed Payoff Division," Games and Economic Behavior, Elsevier, vol. 14(1), pages 90-123, May.
    22. Michael Finus & Juan-Carlos Altamirano-Cabrera & Ekko Ierland, 2005. "The effect of membership rules and voting schemes on the success of international climate agreements," Public Choice, Springer, vol. 125(1), pages 95-127, July.
    23. Belleflamme, Paul, 2000. "Stable Coalition Structures with Open Membership and Asymmetric Firms," Games and Economic Behavior, Elsevier, vol. 30(1), pages 1-21, January.
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    More about this item

    Keywords

    Cartel stability; Coalition formation games with spillovers; Partition function approach; Optimal sharing rule;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D72 - Microeconomics - - Analysis of Collective Decision-Making - - - Political Processes: Rent-seeking, Lobbying, Elections, Legislatures, and Voting Behavior
    • H41 - Public Economics - - Publicly Provided Goods - - - Public Goods

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