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Efficiency in strategic form games: A little trust can go a long way

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  • Jianpei Li
  • Paul Schweinzer

Abstract

We study the incentives of noncooperative players to play a cooperative game. That is, we look for individually rational, redistributive, pre-game agreements enacted in order to coordinate towards efficient equilibrium play. Contrasting with standard Nash equilibrium analysis, we assume that players can commit to the agreements they negotiate and that utility is verify and transferable. We show that agreeing on a proportional-exponential redistribution rule is individually rational and implements the socially efficient outcome as Nash equilibrium. Moreover, we show that this class of redistributional contracts may be naturally obtained as the outcome of Nash bargaining.

Suggested Citation

  • Jianpei Li & Paul Schweinzer, 2013. "Efficiency in strategic form games: A little trust can go a long way," Discussion Papers 13/19, Department of Economics, University of York.
  • Handle: RePEc:yor:yorken:13/19
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    References listed on IDEAS

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    1. Matthew O. Jackson & Simon Wilkie, 2005. "Endogenous Games and Mechanisms: Side Payments Among Players," Review of Economic Studies, Oxford University Press, vol. 72(2), pages 543-566.
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    3. Bade, Sophie & Haeringer, Guillaume & Renou, Ludovic, 2009. "Bilateral commitment," Journal of Economic Theory, Elsevier, vol. 144(4), pages 1817-1831, July.
    4. Luis Corchón & Matthias Dahm, 2010. "Foundations for contest success functions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 81-98, April.
    5. Hao Jia, 2008. "A stochastic derivation of the ratio form of contest success functions," Public Choice, Springer, vol. 135(3), pages 125-130, June.
    6. Cheng-Zhong Qin, 2008. "Inducing Cooperation by Self-Stipulated Penalties," Annals of Economics and Finance, Society for AEF, vol. 9(2), pages 385-395, November.
    7. Qiang Fu & Jingfeng Lu, 2012. "Micro foundations of multi-prize lottery contests: a perspective of noisy performance ranking," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 497-517, March.
    8. Varian, Hal R, 1994. "A Solution to the Problem of Externalities When Agents Are Well-Informed," American Economic Review, American Economic Association, vol. 84(5), pages 1278-1293, December.
    9. Ken Binmore, 1994. "Game Theory and the Social Contract, Volume 1: Playing Fair," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262023636, January.
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    More about this item

    Keywords

    Redistribution; Efficiency; Social contract;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations

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