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Participation Games: Market Entry, Coordination and the Beautiful Blonde

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Author Info
Anderson, Simon P
Engers, Maxim

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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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Paper provided by C.E.P.R. Discussion Papers in its series CEPR Discussion Papers with number 5241.

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Date of creation: Sep 2005
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Handle: RePEc:cpr:ceprdp:5241

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Related research
Keywords: common property resource problem comparative statics coordination market entry mixed strategy equilibrium Nash equilibrium

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Find related papers by JEL classification:
C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
D43 - Microeconomics - - Market Structure and Pricing - - - 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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  1. Sundali, James A. & Rapoport, Amnon & Seale, Darryl A., 1995. "Coordination in Market Entry Games with Symmetric Players," Organizational Behavior and Human Decision Processes, Elsevier, vol. 64(2), pages 203-218, November. [Downloadable!] (restricted)
  2. Jacob K. Goeree & Charles A. Holt, 2001. "Ten Little Treasures of Game Theory and Ten Intuitive Contradictions," American Economic Review, American Economic Association, vol. 91(5), pages 1402-1422, December. [Downloadable!] (restricted)
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  3. Steven C. Salop, 1979. "Monopolistic Competition with Outside Goods," Bell Journal of Economics, The RAND Corporation, vol. 10(1), pages 141-156, Spring. [Downloadable!] (restricted)
  4. Anderson, Simon P. & Goeree, Jacob K. & Holt, Charles A., 2001. "Minimum-Effort Coordination Games: Stochastic Potential and Logit Equilibrium," Games and Economic Behavior, Elsevier, vol. 34(2), pages 177-199, February. [Downloadable!] (restricted)
  5. Crawford, Vincent P, 1974. "Learning the Optimal Strategy in a Zero-Sum Game," Econometrica, Econometric Society, vol. 42(5), pages 885-91, September. [Downloadable!] (restricted)
  6. Andrew Sweeting, 2005. "Coordination Games, Multiple Equilibria and the Timing of Radio Commercials," 2005 Meeting Papers 490, Society for Economic Dynamics. [Downloadable!]
  7. Colin Camerer & Dan Lovallo, 1999. "Overconfidence and Excess Entry: An Experimental Approach," American Economic Review, American Economic Association, vol. 89(1), pages 306-318, March. [Downloadable!] (restricted)
  8. Crawford, Vincent P., 1985. "Learning behavior and mixed-strategy Nash equilibria," Journal of Economic Behavior & Organization, Elsevier, vol. 6(1), pages 69-78, March. [Downloadable!] (restricted)
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