Interactive contagion

Lee, I.H. and Valentinyi, A. (1997) Interactive contagion. Southampton, UK, University of Southampton (Discussion Papers in Economics and Econometrics 9712).


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A local interaction game is a game where agents play an identical stage game against their neighbors over time. This paper obtains a general result on the long-run equilibrium distribution of the local interaction game whose stage game is the 2 x 2 coordination game. It is established that starting from a random initial configuration with a positive probability of playing the risk dominant strategy, a sufficiently large population coordinates on the risk dominant equilibrium with probability 1 for the nearest neighbor interaction

Our result improves previous ones including Blume (1995), Ellison (1993,1995), and Morris (1997) in a non-trivial way. It proves that there is an interactive contagion mechanism through which the risk dominant equilibrium may spread, in addition to the autonomous mechanism considered by others. Taking advantage of the mechanism we prove that for the nearest neighbor interaction, half dominance is sufficient for the degenerate long-run equilibrium distribution concentrated on the risk dominant strategy.

Item Type: Monograph (Discussion Paper)
Related URLs:
Subjects: H Social Sciences > HB Economic Theory
Divisions : University Structure - Pre August 2011 > School of Social Sciences > Economics
ePrint ID: 33186
Accepted Date and Publication Date:
January 1997Made publicly available
Date Deposited: 25 Jan 2008
Last Modified: 31 Mar 2016 11:59

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