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The evolution of conventions in minimum effort games

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  • Bagnoli, Lidia
  • Negroni, Giorgio

Abstract

The literature on minimum effort game has been concerned with a symmetric game with linear payoff functions. The main aim of the present paper is to study the coordination problem arising in a not necessarily symmetric minimum effort game with two players. The sources of asymmetry can be twofold: the productivity of effort and the distribution of the join output. To select among the Pareto ranked equilibria we use the stochastic stability criterion. We show that, for any configuration parameters, the set of stochastically stable equilibria coincides with the set of potential maximizers. We also show that when the disutility of effort is linear, the Pareto dominant equilibrium is stochastically stable provided that the distributive parameter belongs to a well defined range. When the disutility of effort is nonlinear no distributive arguments can be used to successfully affect the selection process. Lastly we prove that the connection between stochastic stability and maximum potential can fail when more than two agents are considered.

Suggested Citation

  • Bagnoli, Lidia & Negroni, Giorgio, 2013. "The evolution of conventions in minimum effort games," Research in Economics, Elsevier, vol. 67(3), pages 259-277.
    • Handle: RePEc:eee:reecon:v:67:y:2013:i:3:p:259-277
    DOI: 10.1016/j.rie.2013.07.001
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    1. Per Svejstrup Hansen & Oddvar M. Kaarbøe, 2002. "Equilibrium selection in coordination games with simultaneous play," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 20(4), pages 793-807.
    2. Cooper,Russell, 1999. "Coordination Games," Cambridge Books, Cambridge University Press, number 9780521578967, January.
    3. Van Huyck, John B & Battalio, Raymond C & Beil, Richard O, 1990. "Tacit Coordination Games, Strategic Uncertainty, and Coordination Failure," American Economic Review, American Economic Association, vol. 80(1), pages 234-248, March.
    4. Crawford, Vincent P, 1995. "Adaptive Dynamics in Coordination Games," Econometrica, Econometric Society, vol. 63(1), pages 103-143, January.
    5. Young, H Peyton, 1993. "The Evolution of Conventions," Econometrica, Econometric Society, vol. 61(1), pages 57-84, January.
    6. Russell Cooper & Andrew John, 1988. "Coordinating Coordination Failures in Keynesian Models," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 103(3), pages 441-463.
    7. Ken Binmore & Larry Samuelson & Petyon Young, 2003. "Equilibrium Selection in Bargaining Models," Levine's Bibliography 506439000000000466, UCLA Department of Economics.
    8. Goeree, Jacob K. & Holt, Charles A., 2005. "An experimental study of costly coordination," Games and Economic Behavior, Elsevier, vol. 51(2), pages 349-364, May.
    9. Binmore, Ken & Samuelson, Larry & Young, Peyton, 2003. "Equilibrium selection in bargaining models," Games and Economic Behavior, Elsevier, vol. 45(2), pages 296-328, November.
    10. Carlsson, Hans & Ganslandt, Mattias, 1998. "Noisy equilibrium selection in coordination games," Economics Letters, Elsevier, vol. 60(1), pages 23-34, July.
    11. Alós-Ferrer, Carlos & Netzer, Nick, 2010. "The logit-response dynamics," Games and Economic Behavior, Elsevier, vol. 68(2), pages 413-427, March.
    12. Monderer, Dov & Shapley, Lloyd S., 1996. "Potential Games," Games and Economic Behavior, Elsevier, vol. 14(1), pages 124-143, May.
    13. Robles, Jack, 1997. "Evolution and Long Run Equilibria in Coordination Games with Summary Statistic Payoff Technologies," Journal of Economic Theory, Elsevier, vol. 75(1), pages 180-193, July.
    14. John Bryant, 1983. "A Simple Rational Expectations Keynes-type Model," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 98(3), pages 525-528.
    15. Wasow, Bernard, 1980. "Optimal Income Distribution with Variable Factor Supplies: A Graphical Exposition," The Manchester School of Economic & Social Studies, University of Manchester, vol. 48(1), pages 79-86, March.
    16. L. Bagnoli & G. Negroni, 2008. "The emergence of norms of cooperation in stag hunt games with production," Working Papers 626, Dipartimento Scienze Economiche, Universita' di Bologna.
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