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Coarse Correlated Equilibria in an Abatement Game

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  • Moulin, Herve
  • Ray, Indrajit

    () (Cardiff Business School)

  • Gupta, Sonali Sen

Abstract

We consider the well-analyzed abatement game (Barrett 1994) and prove that correlation among the players (nations) can strictly improve upon the Nash equilibrium payoffs. As these games are potential games, correlated equilibrium — CE — (Aumann 1974, 1987) cannot improve upon Nash,however we prove that coarse correlated equilibria — CCE — (Moulin and Vial 1978) may do so. We compute the largest feasible total utility and hence the efficiency gain in any CCE in those games: it is achieved by a lottery over only two pure strategy profiles.

Suggested Citation

  • Moulin, Herve & Ray, Indrajit & Gupta, Sonali Sen, 2014. "Coarse Correlated Equilibria in an Abatement Game," Cardiff Economics Working Papers E2014/24, Cardiff University, Cardiff Business School, Economics Section.
  • Handle: RePEc:cdf:wpaper:2014/24
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    References listed on IDEAS

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    Cited by:

    1. Ferenc Forgó, 2020. "Exact enforcement value of soft correlated equilibrium for generalized chicken and prisoner’s 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. 28(1), pages 209-227, March.
    2. Arsen Palestini & Ilaria Poggio, 2015. "A Bayesian potential game to illustrate heterogeneity in cost/benefit characteristics," International Review of Economics, Springer;Happiness Economics and Interpersonal Relations (HEIRS), vol. 62(1), pages 23-39, March.
    3. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.

    More about this item

    Keywords

    Abatement game; Coarse correlated equilibrium; Efficiency gain;

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • Q52 - Agricultural and Natural Resource Economics; Environmental and Ecological Economics - - Environmental Economics - - - Pollution Control Adoption and Costs; Distributional Effects; Employment Effects

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