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Common Pool Games Are Convex Games


  • Meinhardt, Holger


For the class of cooperative common pool games the paper focuses on the question of how, during the preplay negotiation process, the ability of coalitions to enforce their claims imposes externalities on the opposition by having an impact on the jointly produced resource. One of our main results is that common pool games are clear games. Based on this result we are able to derive sufficient conditions for the convexity of the characteristic function, which establishes the second main result in the paper, namely that cooperative common pool games are characterized by increasing returns with respect to the coalition size. Copyright 1999 by Blackwell Publishing Inc.

Suggested Citation

  • Meinhardt, Holger, 1999. " Common Pool Games Are Convex Games," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 1(2), pages 247-270.
  • Handle: RePEc:bla:jpbect:v:1:y:1999:i:2:p:247-70

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    References listed on IDEAS

    1. Keith J. Crocker & John Morgan, 1998. "Is Honesty the Best Policy? Curtailing Insurance Fraud through Optimal Incentive Contracts," Journal of Political Economy, University of Chicago Press, vol. 106(2), pages 355-375, April.
    2. Spence, Michael & Zeckhauser, Richard, 1971. "Insurance, Information, and Individual Action," American Economic Review, American Economic Association, vol. 61(2), pages 380-387, May.
    3. Picard, Pierre, 1996. "Auditing claims in the insurance market with fraud: The credibility issue," Journal of Public Economics, Elsevier, vol. 63(1), pages 27-56, December.
    4. Mookherjee, Dilip & Png, I P L, 1990. "Enforcement Costs and the Optimal Progressivity of Income Taxes," Journal of Law, Economics, and Organization, Oxford University Press, vol. 6(2), pages 410-431, Fall.
    5. Townsend, Robert M., 1979. "Optimal contracts and competitive markets with costly state verification," Journal of Economic Theory, Elsevier, vol. 21(2), pages 265-293, October.
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    Cited by:

    1. Driessen, Theo S.H. & Meinhardt, Holger I., 2005. "Convexity of oligopoly games without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 50(1), pages 102-126, July.
    2. Norde, Henk & Pham Do, Kim Hang & Tijs, Stef, 2002. "Oligopoly games with and without transferable technologies," Mathematical Social Sciences, Elsevier, vol. 43(2), pages 187-207, March.
    3. Santiago Sánchez-Pagés, 2007. "Rivalry, Exclusion, and Coalitions," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 9(5), pages 809-830, October.
    4. Axel Ostmann & Holger Meinhardt, 2007. "Non-binding agreements and fairness in commons dilemma games," Central European Journal of Operations Research, Springer;Slovak Society for Operations Research;Hungarian Operational Research Society;Czech Society for Operations Research;Österr. Gesellschaft für Operations Research (ÖGOR);Slovenian Society Informatika - Section for Operational Research;Croatian Operational Research Society, vol. 15(1), pages 63-96, March.
    5. Trine Tornøe Platz & Lars Peter Østerdal, 2013. "Forming and Dissolving Partnerships in Cooperative Game Situations," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 15(2), pages 208-228, April.

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