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Admissible Hierachic Sets
(2005-05)
In this paper we present a solution concept for abstract systems called the admissible hierarchic set. The solution we propose is a refinement of the hierarchic solution, a generalization of the von Neumann and Morgenstern ...
The Stability of the Roommate Problem Revisited
(2007-09)
The lack of stability in some matching problems suggests that alternative solution concepts to the core might be applied to find predictable matchings. We propose the absorbing sets as a solution for the class of roommate ...
The Supercore for Normal Form Games
(2003-10)
We study the supercore of a system derived from a normal form game. For the case of a finite game with pure strategies, we define a sequence of games and show that the supercore of that system coincides with the set of ...
A noncooperative view on two consistent aiport cost sharing rules
(2006-07)
This paper provides a noncooperative understanding of the nucleolus and the egalitarian allocation for airport cost problems. We find that every Nash equilibrium of the noncooperative game has the nucleolus as outcome while ...
Absorbing Sets in Coalitional Systems
(2001-12)
The purpose of this paper is twofold: First, to present an approach and a solution for analyzing the stability of coalition structures: We define a coalitional system (a set and a binary relation on that set) that explains ...