On the Size and Structure of Group Cooperation

Matthew Haag and Roger Lagunoff ()
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Matthew Haag: Department of Economics, University of Warwick

No 2003.54, Working Papers from Fondazione Eni Enrico Mattei

Abstract: This paper examines characteristics of cooperative behavior in a repeated, n-person, continuous action generalization of a Prisoner’s Dilemma game. When time preferences are heterogeneous and bounded away from one, how “much” cooperation can be achieved by an ongoing group? How does group cooperation vary with the group’s size and structure? For an arbitrary distribution of discount factors, we characterize the maximal average co-operation (MAC) likelihood of this game. The MAC likelihood is the highest average level of cooperation, over all stationary subgame perfect equilibrium paths, that the group can achieve. The MAC likelihood is shown to be increasing in monotone shifts, and decreasing in mean preserving spreads, of the distribution of discount factors. The latter suggests that more heterogeneous groups are less cooperative on average. Finally, we establish weak conditions under which the MAC likelihood exhibits increasing returns to scale when discounting is heterogeneous. That is, larger groups are more cooperative, on average, than smaller ones. By contrast, when the group has a common discount factor, the MAC likelihood is invariant to group size.

Keywords: Repeated games; Maximal average Cooperation likelihood; Heterogeneous discount factors; Returns to scale (search for similar items in EconPapers)
JEL-codes: C7 D62 D7 (search for similar items in EconPapers)
New Economics Papers: this item is included in nep-evo
Date: Written
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Related works:
Working Paper: On the Size and Structure of Group Cooperation (2003)
Working Paper: On the Size and Structure of Group Cooperation (2002)
Working Paper: On the Size and Structure of Group Cooperation (2002)
Working Paper: On the Size and Structure of Group cooperation (2002)
Working Paper: On the Size and Structure of Group Cooperation (2002)
Journal Article: On the size and structure of group cooperation (2007)
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Persistent link: http://EconPapers.repec.org/RePEc:fem:femwpa:2003.54

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