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Participation games: Market entry, coordination, and the beautiful blonde

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  • Anderson, Simon P.
  • Engers, Maxim

Abstract

We find the Nash equilibria for monotone n-player symmetric games where each player chooses whether to participate. Examples include market entry games, coordination games, and the bar-room game depicted in the movie 'A Beautiful Mind'. The symmetric Nash equilibrium involves excessive participation (a common property resource problem) if participants? payoffs are decreasing (in the number of participants), and insufficient participation if payoffs are increasing. With decreasing payoffs there can be many equilibria, but with increasing payoffs there are only three. Some comparative static properties of changing one player?s participation payoffs are counter-intuitive, especially with more than two players.
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  • Anderson, Simon P. & Engers, Maxim, 2007. "Participation games: Market entry, coordination, and the beautiful blonde," Journal of Economic Behavior & Organization, Elsevier, vol. 63(1), pages 120-137, May.
    • Handle: RePEc:eee:jeborg:v:63:y:2007:i:1:p:120-137
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    Cited by:

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    2. Pim Heijnen, 2009. "On the probability of breakdown in participation games," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(3), pages 493-511, March.
    3. Jorge Peña & Georg Nöldeke, 2023. "Cooperative Dilemmas with Binary Actions and Multiple Players," Dynamic Games and Applications, Springer, vol. 13(4), pages 1156-1193, December.
    4. Alan Kirman & François Laisney & Paul Pezanis-Christou, 2023. "Relaxing the symmetry assumption in participation games: a specification test for cluster-heterogeneity," Experimental Economics, Springer;Economic Science Association, vol. 26(4), pages 850-878, September.
    5. Pietro Dindo & Jan Tuinstra, 2011. "A Class of Evolutionary Models for Participation Games with Negative Feedback," Computational Economics, Springer;Society for Computational Economics, vol. 37(3), pages 267-300, March.
    6. Frank, Joshua & Sohn, Saeyoon, 2011. "A behavioral economic analysis of excess entry in arts labor markets," Journal of Behavioral and Experimental Economics (formerly The Journal of Socio-Economics), Elsevier, vol. 40(3), pages 265-273, May.
    7. Schultz, Christian, 2009. "Transparency and product variety," Economics Letters, Elsevier, vol. 102(3), pages 165-168, March.
    8. Nöldeke, Georg & Peña, Jorge, 2020. "Group size and collective action in a binary contribution game," Journal of Mathematical Economics, Elsevier, vol. 88(C), pages 42-51.
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    11. Charles J. Thomas, 2019. "A New Perspective on Entry in Horizontal Merger Analysis," Review of Industrial Organization, Springer;The Industrial Organization Society, vol. 55(3), pages 459-491, November.

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    More about this item

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D43 - Microeconomics - - Market Structure, Pricing, and Design - - - Oligopoly and Other Forms of Market Imperfection
    • L13 - Industrial Organization - - Market Structure, Firm Strategy, and Market Performance - - - Oligopoly and Other Imperfect Markets

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