Dynamic systems of social interactions

Ulrich Horst

No 2010-012, SFB 649 Discussion Papers from Humboldt University Berlin, Collaborative Research Center 649: Economic Risk

Abstract: We state conditions for existence and uniqueness of equilibria in evolutionary models with an infinity of locally and globally interacting agents. Agents face repeated discrete choice problems. Their utility depends on the actions of some designated neighbors and the average choice throughout the whole population. We show that the dynamics on the level of aggregate behavior can be described by a deterministic measure-valued integral equation. If some form of positive complementarities prevails we establish convergence and ergodicity results for aggregate activities. We apply our convergence results to study a class of population games with random matching.

Keywords: evolutionary dynamics; social interaction; equilibrium; interacting particle systems; coordination games (search for similar items in EconPapers)
JEL-codes: C63 D50 D71 (search for similar items in EconPapers)
Date: 2010
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Journal Article: Dynamic systems of social interactions (2010)
Working Paper: Dynamic Systems of Social Interactions (2010)
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