This article considers the robustness of long run equilibria when mutation rates are not assumed to be constant over time. Particular attention is paid to the case where mutation rates decline to zero in the limit. It is found that if behaviour is ergodic, then it corresponds to the long run...

This paper deals with a specific aspect of the problem of coalition formation in a situation described by a TU-game. First, we define a very simple normal form game which models the process of coalition formation. To define the payoff functions of the players we use an allocation rule for...

Any correlated equilibrium of a strategic game with bounded payoffs and convex strategy sets which has a smooth concave potential, is a mixture of pure strategy profiles which maximize the potential. If moreover, the strategy sets are compact and the potential is strictly concave, then the game...

We examine contemporaneous perfect equilibria, in which a player's actions after every history, evaluated at the point of deviation from the equilibrium, must be within of a best response. This concept implies, but is not implied by Radner's ex ante perfect equilibrium. A strategy profile is a...

The purpose of this paper is to provide an alternative version of a generalized game, slightly different from the one provided in the seminal paper of Arrow and Debreu (1954). In this revised framework, we introduce the concept of a competitive equilibrium and show how it can be applied to a...

This chapter of the Handbook of Game Theory (Vol. 3) provides an overview of the theory of Nash equilibrium and its refinements. The starting-point is the rationalistic approach to games and the question whether there exists a convincing, self-enforcing theory of rational behavior in...

Under some conditions, parameterized games with strategic substitutes exhibit monotone comparative statics of equilibria. These conditions relate to a tradeoff between a direct parameter effect and an opposing, indirect strategic substitute effect. If the indirect effect does not dominate the...

We consider global games with general payoff structures and prove existence of equilibrium. This shows that the global games method is well-defined with arbitrary strategic interaction among players, thus providing a foundation for the study of more general equilibrium behavior, especially as...

This paper studies equilibrium refinements in signaling games through an examination of rationalizability in derived games obtained by replacing the equilibrium path with a sure outcome that yields the equilibrium payoff to all players. The informed player chooses between the sure payoff and...