In games with multiple equilibria, the fairest equilibrium –in case one exists- may be the obvious solution for some players but not for others, and players can be aware of this heterogeneity. This paper theoretically explores how coordination could be achieved in this case. The model is...

We study games played between groups of players, where a given group decides which strategy it will play through a vote by its members. When groups consist of two voting players, our games can also be interpreted as network-formation games. In experiments on Stag Hunt games, we find a stark...

In this paper we provide a characterization of the set of fall back equilibria for $$2 \times n$$ bimatrix games. Furthermore, for this type of games we discuss the relation between the set of fall back equilibria and the sets of perfect, proper and strictly perfect equilibria. In order to do...

We provide approximation results for Nash equilibria in possibly discontinuous games when payoffs and strategy sets are perturbed. We then prove existence results for a new “finitistic” infinite-game generalization of Selten’s (Int J Game Theory 4: 25–55, <CitationRef CitationID="CR23">1975</CitationRef>) notion of perfection and...</citationref>

Fall back equilibrium is a refinement of the Nash equilibrium concept. In the underlying thought experiment each player faces the possibility that, after all players decided on their action, his chosen action turns out to be blocked. Therefore, each player has to decide beforehand on a back-up...

Forward induction is the notion that players in a game assume, even when confronted with an unexpected event, that their opponents chose rationally. It is often motivated by invariance, namely, that the normal form game captures all strategically relevant information. To be consistent with this...

A Nash equilibrium x of a normal-form game G is essential if any perturbation of G has an equilibrium close to x. Using payoff perturbations, we identify a new collection of games containing a dense, residual subset of games whose Nash equilibria are all essential. This collection subsumes the...