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Coarse correlated equilibria in linear duopoly games

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  • Indrajit Ray

    ()

  • Sonali 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 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. Copyright Springer-Verlag Berlin Heidelberg 2013

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Bibliographic Info

Article provided by Springer in its journal International Journal of Game Theory.

Volume (Year): 42 (2013)
Issue (Month): 2 (May)
Pages: 541-562

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Handle: RePEc:spr:jogath:v:42:y:2013:i:2:p:541-562

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Related research

Keywords: Duopoly; Coarse correlation; Simple devices; Sunspots; C72;

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  1. Maskin, Eric & Tirole, Jean, 1987. "Correlated equilibria and sunspots," Journal of Economic Theory, Elsevier, vol. 43(2), pages 364-373, December.
  2. Gerard-Varet, L. A. & Moulin, H., 1978. "Correlation and duopoly," Journal of Economic Theory, Elsevier, vol. 19(1), pages 123-149, October.
  3. 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.
  4. 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.
  5. Azariadis, Costas, 1981. "Self-fulfilling prophecies," Journal of Economic Theory, Elsevier, vol. 25(3), pages 380-396, December.
  6. Cass, David & Shell, Karl, 1983. "Do Sunspots Matter?," Journal of Political Economy, University of Chicago Press, vol. 91(2), pages 193-227, April.
  7. Forges, F., 1991. "Correlated equilibrium and sunspot equilibrium," CORE Discussion Papers 1991053, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  8. Robert J. Aumann, 2010. "Correlated Equilibrium as an expression of Bayesian Rationality," Levine's Working Paper Archive 661465000000000377, David K. Levine.
  9. Young, H. Peyton, 2004. "Strategic Learning and its Limits," OUP Catalogue, Oxford University Press, number 9780199269181.
  10. 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.
  11. Aumann, Robert J., 1974. "Subjectivity and correlation in randomized strategies," Journal of Mathematical Economics, Elsevier, vol. 1(1), pages 67-96, March.
  12. John Duffy & Nick Feltovich, 2008. "Correlated Equilibria, Good and Bad: An Experimental Study," Working Papers 358, University of Pittsburgh, Department of Economics, revised Oct 2008.
  13. Liu, Luchuan, 1996. "Correlated Equilibrium of Cournot Oligopoly Competition," Journal of Economic Theory, Elsevier, vol. 68(2), pages 544-548, February.
  14. 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.
  15. Polemarchakis, Herakles M. & Ray, Indrajit, 2006. "Sunspots, correlation and competition," Games and Economic Behavior, Elsevier, vol. 56(1), pages 174-184, July.
  16. 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.
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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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