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The effect of sharing rules on group competition

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Author Info
Anna Gunnthorsdottir (Australian Graduate School of Management)
Amnon Rapoport (University of Arizona)

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Abstract

We consider embedding independent within-group conflicts for the provision of public goods in a between-group competition for an exogenously determined prize as a structural mechanism for reducing free riding. We model this situation by a multi-level collective action game in which the group<92>s probability of wining the prize is proportional to its contribution, and the profit sharing rule that determines how to divide the prize among members of the winning group is either egalitarian or proportional to the individual contributions. Under appropriate parameterization of the payoff structure, zero contribution by individual members is no longer the equilibrium solution, and equilibrium contributions are substantially higher when the profit sharing rule is proportional rather than egalitarian. Our experimental results support the equilibrium predictions. A simple reinforcement- learning model accounts for the dynamics of play on the aggregate but not individual level.

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Paper provided by EconWPA in its series Experimental with number 0307003.

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Length: 345 pages
Date of creation: 28 Jul 2003
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Handle: RePEc:wpa:wuwpex:0307003

Note: Type of Document - Tex/WordPerfect/Handwritten; prepared on IBM PC - PC-TEX/UNIX Sparc TeX; to print on HP/PostScript/Franciscan monk; pages: 345,395,4323247 ; figures: included/request from author/draw your own
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Related research
Keywords: group competition public good;

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Find related papers by JEL classification:
C9 - Mathematical and Quantitative Methods - - Design of Experiments

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  1. Selten, Reinhard, 1994. "Descriptive Approaches to Cooperation," Discussion Paper Serie B 292, University of Bonn, Germany.
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  5. Nalbantian, Haig R & Schotter, Andrew, 1997. "Productivity under Group Incentives: An Experimental Study," American Economic Review, American Economic Association, vol. 87(3), pages 314-41, June. [Downloadable!] (restricted)
    Other versions:
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  7. Jordan, J. S., 1991. "Bayesian learning in normal form games," Games and Economic Behavior, Elsevier, vol. 3(1), pages 60-81, February. [Downloadable!] (restricted)
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  10. Andreoni, James, 1995. "Cooperation in Public-Goods Experiments: Kindness or Confusion?," American Economic Review, American Economic Association, vol. 85(4), pages 891-904, September. [Downloadable!] (restricted)
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  16. Palfrey, Thomas R & Prisbrey, Jeffrey E, 1997. "Anomalous Behavior in Public Goods Experiments: How Much and Why?," American Economic Review, American Economic Association, vol. 87(5), pages 829-46, December. [Downloadable!] (restricted)
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  20. Nick Feltovich, 2000. "Reinforcement-Based vs. Belief-Based Learning Models in Experimental Asymmetric-Information," Econometrica, Econometric Society, vol. 68(3), pages 605-642, May.
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  23. Andereoni, J., 1988. "Why Free Ride? Strategies And Learning In Public Goods Experiments," Working papers 375, Wisconsin Madison - Social Systems.
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