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Coarse Correlated Equilibria and Sunspots

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  • Indrajit Ray
  • Sonali Sen Gupta

Abstract

For duopoly models, we analyse the concept of coarse correlated equilibrium using simple symmetric devices that the players choose to commit to in equilibrium. In a linear duopoly game, we provice that Nash-centric devices, involving a sunspot structure, are simple symmetric coarse correlated equilibria. Any small unilaterial perturbation from such a structure fails to be equilibrium.

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File URL: ftp://ftp.bham.ac.uk/pub/RePEc/pdf/11-14R.pdf
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Bibliographic Info

Paper provided by Department of Economics, University of Birmingham in its series Discussion Papers with number 11-14r.

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Length: 17 pages
Date of creation: Feb 2012
Date of revision:
Handle: RePEc:bir:birmec:11-14r

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Postal: Edgbaston, Birmingham, B15 2TT
Web page: http://www.economics.bham.ac.uk
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Keywords: Duopoly; Coarse correlation; Simple devices; Sunspots;

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References

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  1. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  2. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer, vol. 5(1), pages 33-50, January.
  3. AUMANN, Robert J., . "Subjectivity and correlation in randomized strategies," CORE Discussion Papers RP -167, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  4. Indrajit Ray & Herakles Polemarchakis, 2004. "Sunspots, Correlation And Competition," Royal Economic Society Annual Conference 2004 89, Royal Economic Society.
  5. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  6. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
  7. John Bone & Michalis Drouvelis & Indrajit Ray, 2012. "Following Recommendations to Avoid Coordination-Failure in 2 x 2 Games," Discussion Papers 12-04, Department of Economics, University of Birmingham.
  8. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  9. Börgers, Tilman & Janssen, Maarten C.W., 1995. "On the dominance solvability of large cournot games," Games and Economic Behavior, Elsevier, vol. 8(2), pages 297-321.
  10. John Duffy & Nick Feltovich, 2010. "Correlated Equilibria, Good And Bad: An Experimental Study," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 51(3), pages 701-721, 08.
  11. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
  12. 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.
  13. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  14. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
  15. Yi, Sang-Seung, 1997. "On the existence of a unique correlated equilibrium in Cournot oligopoly," Economics Letters, Elsevier, vol. 54(3), pages 235-239, July.
  16. Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
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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.
  2. Moulin, Herve & Ray, Indrajit & Sen Gupta, Sonali, 2014. "Improving Nash by coarse correlation," Journal of Economic Theory, Elsevier, vol. 150(C), pages 852-865.
  3. Johne Bone & Michalis Drouvelis & Indrajit Ray, 2013. "Coordination in 2 x 2 Games by Following Recommendations from Correlated Equilibria," Discussion Papers 12-04r, Department of Economics, University of Birmingham.
  4. John Bone & Michalis Drouvelis & Indrajit Ray, 2012. "Following Recommendations to Avoid Coordination-Failure in 2 x 2 Games," Discussion Papers 12-04, Department of Economics, University of Birmingham.

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