Rationalizability, learning, and equilibrium in games with strategic complementarities. (English) Zbl 0728.90098

Summary: We study a rich class of noncooperative games that includes models of oligopoly competition, macroeconomic coordination failures, arms races, bank runs, technology adoption and diffusion, R & D competition, pretrial bargaining, coordination in teams, and many others. For all these games, the sets of pure strategy Nash equilibria, correlated equilibria, and rationalizable strategies have identical bounds. Also, for a class of models of dynamic adaptive choice behavior that encompasses both best-response dynamics and Bayesian learning, the players’ choices lie eventually within the same bounds. These bounds are shown to vary monotonically with certain exogenous parameters.


91A10 Noncooperative games
91B62 Economic growth models
68T05 Learning and adaptive systems in artificial intelligence
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