A vector of balanced weights infers an inequality that games with a nonempty core obey. This paper gives a generalization of the notion 'vector of balanced weights'. Herewith it provides necessary and su?cient conditions to determine whether a TU-game has a population monotonic allocation scheme...

In this paper we characterize the class of games for which the core coincides with the core cover (compromise stable games).Moreover we will develop an easy explicit formula for the nucleolus for this class of games, using an approach based on bankruptcy problems.Also the class of convex...

Informationally Robust Equilibria (IRE) are introduced in Robson (1994) as a refinement of Nash equilibria for e.g. bimatrix games, i.e. mixed extensions of two person finite games.Similar to the concept of perfect equilibria, basically the idea is that an IRE is a limit of some sequence of...

A generalization of processing problems with restricted capacities is introduced.In a processing problem there is a finite set of jobs, each requiring a specific amount of effort to be completed, whose costs depend linearly on their completion times.The new aspect is that players have interest...

We apply the procedure to both existing and new classes of cooperative situations: sequencing situations without initial ordering, maintenance problems, minimum cost spanning tree situations, travelling salesman problems, shared taxi problems and travelling repairman problems.

This paper analyzes processing problems and related cooperative games.In a processing problem there is a finite set of jobs, each requiring a specific amount of effort to be completed, whose costs depend linearly on their completion times.There are no restrictions whatsoever on the processing...

A new bargaining set based on notions of both internal and external stability is developed in the context of endogenous coalition formation.It allows to make an explicit distinction between within-group and outsidegroup deviation options.This type of distinction is not present in current...

This paper analyzes the compromise social choice correspondence derived from the F-value of digraph games.Among other things monotonicity of this correspondence is shown