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Improving Nash by Coarse Correlation

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Author Info

  • Herve Moulin
  • Indrajit Ray
  • Sonali Sen Gupta

Abstract

We consider a class of symmetric two-person quadratic games where coarse correlated equilibria - CCE - (Moulin and Vial 1978) can strictly improve upon the Nash equilibrium payoffs, while correlated equilibrium - CE - (Aumann 1974, 1987) cannot, because these games are potential games. We compute the largest feasible total utility in any CCE in those games, and show that it is achieved by a CCE involving only two pure strategy profiles. Applications include the Cournot duopoly and the game of public good provision, where the improvement over and above the Nash equilibrium payoff can be substantial.

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File URL: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/13-10.pdf
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Bibliographic Info

Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 13-10.

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Length: 20 pages
Date of creation: Mar 2013
Date of revision:
Handle: RePEc:bir:birmec:13-10

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Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk
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Keywords: Coarse correlated equilibrium; Quadratic games; Duopoly models; Public good;

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  1. Barrett, Scott, 1994. "Self-Enforcing International Environmental Agreements," Oxford Economic Papers, Oxford University Press, vol. 46(0), pages 878-94, Supplemen.
  2. Indrajit Ray & Sonali Sen Gupta, 2012. "Coarse correlated Equilibria in Linear Duopoly Games," Discussion Papers 11-14rr, Department of Economics, University of Birmingham.
  3. Sergiu Hart & Andreu Mas-Colell, 1996. "A simple adaptive procedure leading to correlated equilibrium," Economics Working Papers 200, Department of Economics and Business, Universitat Pompeu Fabra, revised Dec 1996.
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  8. Aumann, Robert J, 1987. "Correlated Equilibrium as an Expression of Bayesian Rationality," Econometrica, Econometric Society, vol. 55(1), pages 1-18, January.
  9. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
  10. Forgo, Ferenc & Fulop, Janos & Prill, Maria, 2005. "Game theoretic models for climate change negotiations," European Journal of Operational Research, Elsevier, vol. 160(1), pages 252-267, January.
  11. Hart, Sergiu & Mas-Colell, Andreu, 2003. "Regret-based continuous-time dynamics," Games and Economic Behavior, Elsevier, vol. 45(2), pages 375-394, November.
  12. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
  13. Arce M. D. G., 1996. "The economic consequences of the peace: Keynes and correlation," Mathematical Social Sciences, Elsevier, vol. 31(1), pages 50-50, February.
  14. Daniel Arce, 1997. "Correlated strategies as Institutions," Theory and Decision, Springer, vol. 42(3), pages 271-285, May.
  15. Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2013. "Coarse Correlated Equilibria in an Abatement Game," Discussion Papers 13-11, Department of Economics, University of Birmingham.
  16. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
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Cited by:
  1. Herve Moulin & Indrajit Ray & Sonali Sen Gupta, 2013. "Coarse Correlated Equilibria in an Abatement Game," Discussion Papers 13-11, Department of Economics, University of Birmingham.

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