Dinko Dimitrov

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In this paper we study hedonic games where each player views every other player either as a friend or as an enemy. Two simple priority criteria for comparison of coalitions are suggested, and the corresponding preference restrictions based on appreciation of friends and aversion to enemies are considered. It turns out that the first domain restriction(More)
In this paper the cone of convex cooperative fuzzy games is studied. As in the classical case of convex crisp games, these games have a large core and the fuzzy Shapley value is the barycenter of the core. Surprisingly, the core and the Weber set coincide ∗This paper was written while the authors were research fellows at the ZiF (Bielefeld) for the project(More)
The opinions expressed in this paper do not necessarily reflect the position of Summary We investigate the computational complexity of several decision problems in hedonic coalition formation games and demonstrate that attaining stability in such games remains NP-hard even when they are additive. Precisely, we prove that when either core stability or strict(More)
We introduce the serial contest by building on the desirable properties of two prominent contest games. This family of contest games relies both on relative efforts (as Tullock’s proposal) and on absolute effort differences (as difference-form contests). An additional desirable feature is that the serial contest is homogeneous of degree zero in contestants’(More)
Preface This book investigates the classical model of cooperative games with trans-ferable utility (TU-games) and models in which the players have the possibility to cooperate partially, namely fuzzy and multichoice games. In a crisp game the agents are either fully involved or not involved at all in cooperation with some other agents, while in a fuzzy game(More)
In this paper we axiomatically characterize two recursive procedures for de…ning a social group. The …rst procedure starts with the This is a substantial revision of our CentER Discussion Paper 2003-10, Tilburg University, with the same title. D. Dimitrov gratefully acknowledges …nancial support from the German Research Foundation (DFG).