This paper introduces a simple extensive form pricing game.The Bertrand outcome is a Nash equilibrium outcome in this game, but it is not necessarily subgame perfect.The subgame perfect equilibrium outcome features the following comparative static properties.The more similar firms are, the...

We model a player’s uncertainty about other players’ strategy choices as smooth probability distributions over their strategy sets. We call a strategy profile (strictly) robust to strategic uncertainty if it is the limit, as uncertainty vanishes, of some sequence (all sequences) of strategy...

A class of non cooperative games characterized by a `congestion e ect' is studied, in which there exists a strong Nash equilibrium, and the set of Nash equilibria, the set of strong Nash equilibria and the set of strategy pro les maximizing the potential function coincide.The structure of the...

This paper provides an overview of the various shapes the best- reply multifunctions can take in 2×2×2 trimatrix games. It is shown that, unlike in 2×2 bimatrix games, the best replies to the opponents’ pure strategies do not completely determine the structure of the Nash equilibrium set.

The division of a cake by n players is modeled as a game of timing. We show that such games admit a unique Nash equilibrium.