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The emergence of coordination in public good games

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  • W. Hichri
  • A. Kirman

    ()

Abstract

In physical models it is well understood that the aggregate behaviour of a system is not in one to one correspondence with the behaviour of the average individual element of that system. Yet, in many economic models the behaviour of aggregates is thought of as corresponding to that of an individual. A typical example is that of public goods experiments. A systematic feature of such experiments is that, with repetition, people contribute less to public goods. A typical explanation is that people “learn to play Nash” or something approaching it. To justify such an explanation, an individual learning model is tested on average or aggregate data. In this paper we will examine this idea by analysing average and individual behaviour in a series of public goods experiments. We analyse data from a series of games of contributions to public goods and as is usual, we test a learning model on the average data. We then look at individual data, examine the changes that this produces and see if some general model such as the EWA (Expected Weighted Attraction) with varying parameters can account for individual behaviour. We find that once we disaggregate data such models have poor explanatory power. Groups do not learn as supposed, their behaviour differs markedly from one group to another, and the behaviour of the individuals who make up the groups also varies within groups. The decline in aggregate contributions cannot be explained by resorting to a uniform model of individual behaviour. However, the Nash equilibrium of such a game is a total payment for all the individuals and there is some convergence of the group in this respect. Yet the individual contributions do not converge. How the individuals “self-organsise” to coordinate, even in this limited way remains to be explained. Copyright EDP Sciences/Società Italiana di Fisica/Springer-Verlag 2007

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Bibliographic Info

Article provided by Springer in its journal The European Physical Journal B.

Volume (Year): 55 (2007)
Issue (Month): 2 (01)
Pages: 149-159

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Handle: RePEc:spr:eurphb:v:55:y:2007:i:2:p:149-159

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Web page: http://www.springer.com/economics/journal/10051

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Keywords: 05.65.+b Self-organized systems; 02.50.-r Probability theory; stochastic processes; and statistics;

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  1. Drew Fudenberg & David Kreps & Eric Maskin, 1988. "Repeated Games with Long-Run and Short-Run Players," Working papers 474, Massachusetts Institute of Technology (MIT), Department of Economics.
  2. Drew Fudenberg & David K. Levine, 1998. "Learning in Games," Levine's Working Paper Archive 2222, David K. Levine.
  3. Cheung, Yin-Wong & Friedman, Daniel, 1997. "Individual Learning in Normal Form Games: Some Laboratory Results," Games and Economic Behavior, Elsevier, vol. 19(1), pages 46-76, April.
  4. Drew Fudenberg & Eric Maskin, 1998. "The Folk Theorem for Repeated Games with Discounting and Incomplete Information," Levine's Working Paper Archive 224, David K. Levine.
  5. Emmanuel Sol & Sylvie Thoron & Marc Willinger, 2006. "Do binding agreements solve the social dilemma ?," Working Papers halshs-00410776, HAL.
  6. Tatsuyoshi Saijo & Hideki Nakamura, 2001. "The 'Spite' Dilemma in Voluntary Contribution Mechanism Experiments," Levine's Working Paper Archive 563824000000000155, David K. Levine.
  7. Teck H Ho & Colin Camerer & Juin-Kuan Chong, 2003. "Functional EWA: A one-parameter theory of learning in games," Levine's Working Paper Archive 506439000000000514, David K. Levine.
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Cited by:
  1. Blanco, Mariana & Engelmann, Dirk & Normann, Hans-Theo, 2010. "A within-subject analysis of other-regarding preferences," DICE Discussion Papers 06, Heinrich‐Heine‐Universität Düsseldorf, Düsseldorf Institute for Competition Economics (DICE).
  2. Yiping Ma & Sebastian Gonçalves & Sylvain Mignot & Jean-Pierre Nadal & Mirta B. Gordon, 2009. "Cycles of cooperation and free-riding in social systems," Working Papers hal-00349642, HAL.

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