Dynamic Systems of Social Interactions
AbstractWe state conditions for existence and uniqueness of equilibria in evolu- tionary 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 be- havior 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 re- sults to study a class of population games with random matching.
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Bibliographic InfoPaper provided by Sonderforschungsbereich 649, Humboldt University, Berlin, Germany in its series SFB 649 Discussion Papers with number SFB649DP2010-012.
Length: 24 pages
Date of creation: Feb 2010
Date of revision:
evolutionary dynamics; social interaction; equilibrium; interacting particle systems; coordination games;
Other versions of this item:
- C63 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Computational Techniques
- D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
- D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
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