We study the process, called the IEDI process, of iterated elimination of (strictly) dominated strategies and inessential players for finite strategic games. Such elimination may reduce the size of a game considerably, for example, from a game with a large number of players to one with a few...

No abstract.

We revisit a result by Kim and Wong (2010) showing that under global interactions any strict Nash equilibrium of a coordination game can be supported as long run equilibrium by properly adding dominated strategies. We show that in the circular city model of local interactions and in the torus...

A two period R&D symmetric Cournot duopoly game with linear demand and costs is analysed under linear (or more general) returns to scale in process R&D. Subgame-perfect equilibrium may call for one firm to fully innovate while the other firm remains just as before. The outcome is a polar duopoly...

We present a class of games with a pure strategy being strictly dominated by another pure strategy such that the former survives along most solutions of the Brown-von Neumann-Nash dynamics.

We survey and unify results on elimination of dominated strategies by monotonic dynamics and prove some new results that may be seen as dual to those of Hofbauer and Weibull (J. Econ. Theory, 1996, 558-573) on convex monotonic dynamics.

We consider strategic-form games with ordinal payoffs and provide a syntactic analysis of common belief/knowledge of rationality, which we define axiomatically. Two axioms are considered. The first says that a player is irrational if she chooses a particular strategy while believing that another...

This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with...

This comprehensive textbook introduces readers to the principal ideas and applications of game theory, in a style that combines rigor with accessibility. Steven Tadelis begins with a concise description of rational decision making, and goes on to discuss strategic and extensive form games with...

A rational player will never play a strictly dominated strategy. It might be tempting therefore to eliminate such strategies from any subsequent analysis. However, if equilibrium selection is an issue it may be wrong to do so. In models of adaptive learning with state-independence mutations,...