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A Behavioral Model for Participation Games with Negative Feedback

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Author Info
Dindo, P.D.E. () (Sant'Anna School of Advanced Studies, Pisa)
Tuinstra, J.

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Abstract

We study participation games with negative feedback, i.e. games where players choose either to participate in a certain project or not and where the payoff for participating decreases in the number of participating players. We use the replicator dynamics to model the competition between different behavioral rules that specify how to play the game in a repeated setting. This results in an analytically tractable model which is able to describe the type of behavior found in the experimental and computational literature. We find that an increase in the number of players destabilizes the unique symmetric mixed strategy Nash equilibrium. The time series of perpetually fluctuating participation rates typically exhibits linear autocorrelation structure and underparticipation. We investigate whether this time series structure can be exploited, and we relate underparticipation to the payoff structure of the participation game.

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Paper provided by Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance in its series CeNDEF Working Papers with number 06-10.

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Date of creation: 2006
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Handle: RePEc:ams:ndfwpp:06-10

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Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Brock, William A. & Hommes, Cars H., 1998. "Heterogeneous beliefs and routes to chaos in a simple asset pricing model," Journal of Economic Dynamics and Control, Elsevier, vol. 22(8-9), pages 1235-1274, August. [Downloadable!] (restricted)
  2. Rami Zwick & Amnon Rapoport, 2002. "Tacit Coordination in a Decentralized Market Entry Game with Fixed Capacity," Experimental Economics, Springer, vol. 5(3), pages 253-272, December. [Downloadable!] (restricted)
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  3. Hommes, Cars H., 1998. "On the consistency of backward-looking expectations: The case of the cobweb," Journal of Economic Behavior & Organization, Elsevier, vol. 33(3-4), pages 333-362, January. [Downloadable!] (restricted)
  4. Droste, Edward & Hommes, Cars & Tuinstra, Jan, 2002. "Endogenous fluctuations under evolutionary pressure in Cournot competition," Games and Economic Behavior, Elsevier, vol. 40(2), pages 232-269, August. [Downloadable!] (restricted)
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  5. Eduardo Zambrano, 2004. "The Interplay between Analytics and Computation in the Study of Congestion Externalities: The Case of the El Farol Problem," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 6(2), pages 375-395, 05. [Downloadable!] (restricted)
  6. William A. Brock & Cars H. Hommes, 1995. "Rational Routes to Randomness," Working Papers 95-03-029, Santa Fe Institute.
  7. Duffy, John & Hopkins, Ed, 2005. "Learning, information, and sorting in market entry games: theory and evidence," Games and Economic Behavior, Elsevier, vol. 51(1), pages 31-62, April. [Downloadable!] (restricted)
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  8. Jan Tuinstra & Joep Sonnemans & Cars Hommes & Peter Heemeijer, 2006. "Price Stability and Volatility in Markets with Positive and Negative Expectations Feedback: An Experimental Investigation," Working Papers wp06-18, Warwick Business School, Financial Econometrics Research Centre. [Downloadable!]
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  9. Selten, R. & Chmura, T. & Pitz, T. & Kube, S. & Schreckenberg, M., 2007. "Commuters route choice behaviour," Games and Economic Behavior, Elsevier, vol. 58(2), pages 394-406, February. [Downloadable!] (restricted)
  10. William Brock & Pietro Dindo & Cars Hommes, 2006. "Adaptive rational equilibrium with forward looking agents," International Journal of Economic Theory, The International Society for Economic Theory, vol. 2(3-4), pages 241-278. [Downloadable!] (restricted)
  11. Franke, Reiner, 2003. "Reinforcement learning in the El Farol model," Journal of Economic Behavior & Organization, Elsevier, vol. 51(3), pages 367-388, July. [Downloadable!] (restricted)
  12. Erev, Ido & Roth, Alvin E, 1998. "Predicting How People Play Games: Reinforcement Learning in Experimental Games with Unique, Mixed Strategy Equilibria," American Economic Review, American Economic Association, vol. 88(4), pages 848-81, September. [Downloadable!] (restricted)
  13. Jorgen W. Weibull, 1997. "Evolutionary Game Theory," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262731215, December.
  14. Binmore, Ken & Larry Samuelson, 1994. "Muddling Through: Noisy Equilibrium Selection," Discussion Paper Serie B 275, University of Bonn, Germany.
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  15. Mehra, Rajnish & Prescott, Edward C., 1985. "The equity premium: A puzzle," Journal of Monetary Economics, Elsevier, vol. 15(2), pages 145-161, March. [Downloadable!] (restricted)
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  1. Hommes, C.H., 2007. "Bounded Rationality and Learning in Complex Markets," CeNDEF Working Papers 07-01, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance. [Downloadable!]
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