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A Behavioral Model for Participation Games with Negative Feedback

  • Dindo, P.D.E.

    ()

    (Sant'Anna School of Advanced Studies, Pisa)

  • Tuinstra, J.

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
Contact details of provider: Postal: Dept. of Economics and Econometrics, Universiteit van Amsterdam, Roetersstraat 11, NL - 1018 WB Amsterdam, The Netherlands
Phone: + 31 20 525 52 58
Fax: + 31 20 525 52 83
Web page: http://www.fee.uva.nl/cendef/
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  1. 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.
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  3. Heemeijer, P. & Hommes, C.H. & Sonnemans, J. & Tuinstra, J., 2006. "Price Stability and Volatility in Markets with Positive and Negative Expectations Feedback: An Experimental Investigation," CeNDEF Working Papers 06-05, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
  4. Droste, E. & Hommes, C.H. & Tuinstra, J., 1999. "Endogenous Fluctuations under Evolutionary Pressure in Cournot Competition," CeNDEF Working Papers 99-04, Universiteit van Amsterdam, Center for Nonlinear Dynamics in Economics and Finance.
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  11. 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.
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  13. 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.
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  17. Franke, Reiner, 2003. "Reinforcement learning in the El Farol model," Journal of Economic Behavior & Organization, Elsevier, vol. 51(3), pages 367-388, July.
  18. Bottazzi, Giulio & Devetag, Giovanna, 2003. "A laboratory experiment on the minority game," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 324(1), pages 124-132.
  19. 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.
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