The class of two-person competition games is introduced and analyzed. For any game in this class, the set of Nash equilibria is convex, equilibrium strategies are exchangeable, and all Nash equilibria lead to the same payoff vector. Competition games are compared to other competitive...

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...

This paper analyses the role of transfer payments and strategic con tracting within two-person strategic form games with monetary pay-offs. First, it introduces the notion of transfer equilibrium as a strategy combination for which individual stability can be supported by allowing the...

This paper extends the concepts of proper equilibria, protective behaviour and prudent behaviour to multicriteria games. Three types of proper equilibria based on different types of domination are introduced. It is shown that protective behaviour coincides with prudent behaviour. Possible...

Proper equilibrium plays a prominent role in the literature on non-cooperative games. The underlying thought experiment is, however, unsatisfying, as it gives no justification for its fundamental idea that severe mistakes are made with a significantly smaller probability than innocuous ones. In...