Citation

Haag M, Lagunoff R. Int. Econ. Rev. 2006; 47(1): 265-296.

Copyright

(Copyright © 2006, Economics Department of the University of Pennsylvania and the Osaka University Institute of Social and Economic Research Association, Publisher John Wiley and Sons)

DOI

10.1111/j.1468-2354.2006.00379.x

PMID

unavailable

Abstract

This article examines optimal social linkage when each individual's repeated interaction with each of his neighbors creates spillovers. Each individual's discount factor is randomly determined. A planner chooses a local interaction network or neighborhood design before the discount factors are realized. Each individual then plays a repeated Prisoner's Dilemma game with his neighbors. A local trigger strategy equilibrium (LTSE) describes an equilibrium in which each individual conditions his cooperation on the cooperation of at least one "acceptable" group of neighbors. Our main results demonstrate a basic trade-off in the design problem between suboptimal punishment and social conflict. Potentially suboptimal punishment arises in designs with local interactions since in this case monitoring is imperfect. Owing to the heterogeneity of discount factors, however, greater social conflict may arise in more connected networks. When individuals' discount factors are known to the planner, the optimal design exhibits a cooperative "core" and an uncooperative "fringe.""Uncooperative" (impatient) types are connected to cooperative ones who tolerate their free riding so that social conflict is kept to a minimum. By contrast, when the planner knows only the ex ante distribution over individual discount factors, then in some cases the optimal design partitions individuals into maximally connected cliques (e.g., cul-de-sacs), whereas in other cases incomplete graphs with small overlap (e.g., grids) are possible.