Under some weakenings of the condition of the well-known fixed point theorems of Brouwer, Kakutani and Banach the existence of approximate fixed points turns out to be still guaranteed. Also an approximate fixed point theorem is given for certain nonexpansive maps.

A canonical procedure is described, which associates to each infinite information collecting situation a related information collecting situation with finite state and action spaces, in such a way that the two corresponding IC-games are near to each other.Compensations for informants are then...

Inspired by Kalai-Samet [4] and Tijs [11], weighted average lexicographic values are introduced for share sets and for cores of cooperative games using induction arguments. Continuity properties and monotonicity properties of these weighted lexicographic values are studied. For subclasses of...

In many share problems there is a priori given a natural set of possible divisions to solve the sharing problem.Cooperative games related to such share sets are introduced, which may be helpful in solving share problems.Relations between properties of share sets and properties of games are...