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Interaction Games: A Unified Analysis of Incomplete Information, Local Interaction and Random Matching

  • Stephen Morris

Incomplete information, local interaction, and random matching games all share a common structure. A type or player interacts with various subsets of the set of all types/players. A type/player's total payoff is additive in the payoffs from these various interactions. This paper describes a general class of interaction games and shows how each of these three classes of games can be understood as special cases. Techniques and results from the incomplete information literature are translated into this more general framework; as a by-product, it is possible to give a complete characterization of equilibria robust to incomplete information (in the sense of Kajii and Morris [1995]) in many player binary action coordination games. Only equilibria that are robust in this sense [1] can spread contagiously and [2] are uninvadable under best response dynamics in a local interaction system. A companion paper, Morris [1997], uses these techniques to characterize features of local interaction systems that allow contagion.

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Paper provided by Penn Economics Department in its series Penn CARESS Working Papers with number 1879bf5487d743edef7f32bb2949354e.

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Handle: RePEc:cla:penntw:1879bf5487d743edef7f32bb2949354e
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  1. Ellison, Glenn, 1993. "Learning, Local Interaction, and Coordination," Econometrica, Econometric Society, vol. 61(5), pages 1047-71, September.
  2. George J. Mailath & Larry Samuelson & Avner Shaked, . "Correlated Equilibria and Local Interactions," CARESS Working Papres 97-6, University of Pennsylvania Center for Analytic Research and Economics in the Social Sciences.
  3. Stephen Morris, . "Co-operation and Timing," Penn CARESS Working Papers b8d506ba7aa15345b602bb4eb, Penn Economics Department.
  4. Sugden, Robert, 1995. "The coexistence of conventions," Journal of Economic Behavior & Organization, Elsevier, vol. 28(2), pages 241-256, October.
  5. Morris, Stephen & Rob, Rafael & Shin, Hyun Song, 1995. "Dominance and Belief Potential," Econometrica, Econometric Society, vol. 63(1), pages 145-57, January.
  6. John C. Harsanyi & Reinhard Selten, 1988. "A General Theory of Equilibrium Selection in Games," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262582384, June.
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