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Coordination and Equilibrium selection in mean defined supermodular games under payoff monotonic selection dynamics

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  • Huw Dixon
  • Ernesto Somma

Abstract

This paper introduces the class of mean defined supermodular games. The characteristic feature of these games is that, given an order on the strategy sets of the players, the payoff to each player depends on his own strategy and the average of the population play. We characterise the set of the Nash equilibria and analyse their dynamic properties under payoff monotonic selection dynamics. Weak Nash equilibria, both in pure and mixed strategies, are unstable. The only asymptotically stable equilibria of the game are symmetric strict equilibria where each player uses the same strategy. We show that the strategies that do not survive the process of iterated deletion of strictly dominated strategies vanish in the long run. As a corollary to this latter result, we show that if the game is dominance solvable then the dynamics converges from any initial interior state.

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Bibliographic Info

Paper provided by Department of Economics, University of York in its series Discussion Papers with number 99/37.

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Handle: RePEc:yor:yorken:99/37

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Postal: Department of Economics and Related Studies, University of York, York, YO10 5DD, United Kingdom
Phone: (0)1904 323776
Fax: (0)1904 323759
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Web page: http://www.york.ac.uk/economics/
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Keywords: Strategic complementarities; supermodular games; bounded rationality; replicator dynamics; coordination failures.;

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  1. D. Fudenberg & C. Harris, 2010. "Evolutionary Dynamics with Aggregate Shocks," Levine's Working Paper Archive 496, David K. Levine.
  2. K. Ritzberger & J. Weibull, 2010. "Evolutionary Selection in Normal-Form Games," Levine's Working Paper Archive 452, David K. Levine.
  3. Samuelson, L., 1989. "Evolutionnary Stability In Asymmetric Games," Papers 11-8-2, Pennsylvania State - Department of Economics.
  4. Binmore, Ken & Larry Samuelson, 1994. "Muddling Through: Noisy Equilibrium Selection," Discussion Paper Serie B 275, University of Bonn, Germany.
  5. repec:att:wimass:9324 is not listed on IDEAS
  6. Vives, Xavier, 1990. "Nash equilibrium with strategic complementarities," Journal of Mathematical Economics, Elsevier, vol. 19(3), pages 305-321.
  7. Kandori, Michihiro & Mailath, George J & Rob, Rafael, 1993. "Learning, Mutation, and Long Run Equilibria in Games," Econometrica, Econometric Society, vol. 61(1), pages 29-56, January.
  8. Schlag, Karl H., 1998. "Why Imitate, and If So, How?, : A Boundedly Rational Approach to Multi-armed Bandits," Journal of Economic Theory, Elsevier, vol. 78(1), pages 130-156, January.
  9. Cooper, Russell & Haltiwanger, John, 1996. "Evidence on Macroeconomic Complementarities," The Review of Economics and Statistics, MIT Press, vol. 78(1), pages 78-93, February.
  10. Bulow, Jeremy I & Geanakoplos, John D & Klemperer, Paul D, 1985. "Multimarket Oligopoly: Strategic Substitutes and Complements," Journal of Political Economy, University of Chicago Press, vol. 93(3), pages 488-511, June.
  11. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
  12. Diamond, Peter A, 1982. "Aggregate Demand Management in Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 90(5), pages 881-94, October.
  13. Antonio Cabrales, 1993. "Stochastic replicator dynamics," Economics Working Papers 54, Department of Economics and Business, Universitat Pompeu Fabra.
  14. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
  15. Binmore, Ken & Samuelson, Larry, 1997. "Muddling Through: Noisy Equilibrium Selection," Journal of Economic Theory, Elsevier, vol. 74(2), pages 235-265, June.
  16. Joseph Farrell & Garth Saloner, 1985. "Installed Base and Compatibility With Implications for Product Preannouncements," Working papers 385, Massachusetts Institute of Technology (MIT), Department of Economics.
  17. Milgrom, Paul & Shannon, Chris, 1994. "Monotone Comparative Statics," Econometrica, Econometric Society, vol. 62(1), pages 157-80, January.
  18. Samuelson Larry, 1994. "Stochastic Stability in Games with Alternative Best Replies," Journal of Economic Theory, Elsevier, vol. 64(1), pages 35-65, October.
  19. Cooper, Russell & John, Andrew, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, MIT Press, vol. 103(3), pages 441-63, August.
  20. Nachbar, J H, 1990. ""Evolutionary" Selection Dynamics in Games: Convergence and Limit Properties," International Journal of Game Theory, Springer, vol. 19(1), pages 59-89.
  21. Bagwell, Kyle & Ramey, Garey, 1994. "Coordination Economies, Advertising, and Search Behavior in Retail Markets," American Economic Review, American Economic Association, vol. 84(3), pages 498-517, June.
  22. Samuelson, Larry & Zhang, Jianbo, 1992. "Evolutionary stability in asymmetric games," Journal of Economic Theory, Elsevier, vol. 57(2), pages 363-391, August.
  23. Matsusaka, John G & Sbordone, Argia M, 1995. "Consumer Confidence and Economic Fluctuations," Economic Inquiry, Western Economic Association International, vol. 33(2), pages 296-318, April.
  24. Larry Samuelson, 1998. "Evolutionary Games and Equilibrium Selection," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262692198, December.
  25. Howitt, Peter, 1985. "Transaction Costs in the Theory of Unemployment," American Economic Review, American Economic Association, vol. 75(1), pages 88-100, March.
  26. Katz, Michael L & Shapiro, Carl, 1986. "Technology Adoption in the Presence of Network Externalities," Journal of Political Economy, University of Chicago Press, vol. 94(4), pages 822-41, August.
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