Congestion, Coordination and Matching
We study the existence of pure strategy Nash equilibria in finite congestion and coordination games. Player set is divided into two disjoint groups, called men and women. A man choosing an action a is better off if the number of other men choosing a decreases, or if the number of women choosing a increases. Analogously, a woman becomes better off if more men or fewer women choose the same action as she does. Existence proofs are constructive: we build simple ``best reply'' algorithms that converge to an equilibrium.
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- Thomas Quint & Martin Shubik, 1994. "A Model of Migration," Cowles Foundation Discussion Papers 1088, Cowles Foundation for Research in Economics, Yale University.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Equilibria in a Model with Partial Rivalry," Journal of Economic Theory, Elsevier, vol. 72(1), pages 225-237, January.
- Konishi, Hideo & Le Breton, Michel & Weber, Shlomo, 1997. "Pure Strategy Nash Equilibrium in a Group Formation Game with Positive Externalities," Games and Economic Behavior, Elsevier, vol. 21(1-2), pages 161-182, October.
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