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Coarse correlated Equilibria in Linear Duopoly Games

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  • Indrajit Ray
  • Sonali Sen Gupta

Abstract

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

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Bibliographic Info

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

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Length: 20 pages
Date of creation: Jul 2012
Date of revision:
Handle: RePEc:bir:birmec:11-14rr

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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. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  2. Indrajit Ray & Herakles Polemarchakis, 2004. "Sunspots, Correlation And Competition," Royal Economic Society Annual Conference 2004 89, Royal Economic Society.
  3. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
  4. R. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Bibliography 513, UCLA Department of Economics.
  5. Forges, Francoise & Peck, James, 1995. "Correlated Equilibrium and Sunspot Equilibrium," Economic Theory, Springer, vol. 5(1), pages 33-50, January.
  6. 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).
  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. 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).
  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. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  12. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
  13. 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.
  14. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
  15. Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
  16. 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.
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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. 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.
  3. 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.
  4. 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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