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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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  1. Forges, F., 1991. "Correlated equilibrium and sunspot equilibrium," CORE Discussion Papers 1991053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Polemarchakis, Herakles M. & Ray, Indrajit, 2006. "Sunspots, correlation and competition," Games and Economic Behavior, Elsevier, vol. 56(1), pages 174-184, July.
  3. Duffy, John & Feltovich, Nick, 2010. "Correlated equilibria, good and bad: an experimental study," SIRE Discussion Papers 2010-123, Scottish Institute for Research in Economics (SIRE).
  4. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  5. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
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  7. 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.
  8. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
  9. 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.
  10. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  11. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181, September.
  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. 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.
  14. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
  15. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  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. "Improving Nash by Coarse Correlation," Discussion Papers 13-10, Department of Economics, University of Birmingham.
  2. 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.
  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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