The replicator-mutator dynamics is a set of differential equations frequently used in biological and socioeconomic contexts to model evolutionary processes subject to mutation, error or experimentation. The replicator-mutator dynamics generalizes the widely used replicator dynamics, which...

The behavior of men and women in a number of games free of social issues is explored. The analysis is conducted for simple (2x2) and complex (guessing) games and in static and repeated settings. No gender effect is observed either in static nor in repeated games. It is concluded that gender bias...

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.

The Conflict Analysis approach by Hipel and Fraser (1984) is well equipped to model repeated games. Players are assumed to posses a sequential reasoning that allows them to ( not necessarily correctly) anticipate the reaction of other players to their strategies. An individual's best response...

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...