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This chapter surveys recent models of coalition and network formation in a unified framework. Comparisons are drawn among various procedures of network and coalition formation, involving simultaneous and sequential moves. The survey also covers models of group and network formation by farsighted...
Persistent link: https://www.econbiz.de/10014025687
Pairing Games or Markets studied here are the non-two-sided NTU generalization of assignment games. We show that the Equilibrium Set is nonempty, that it is the set of stable allocations or the set of semistable allocations, and that it has several notable structural properties. We also...
Persistent link: https://www.econbiz.de/10010350435
Given a simple game, a power configuration specifies the power of each player in each winning coalition. We introduce a new power configuration which takes into account bargaining among players in coalitions. We show that under very weak conditions on a bargaining solution there is a power...
Persistent link: https://www.econbiz.de/10010189489
We provide a new proof of the non-emptiness of approximate cores of games with many players of a finite number of types. Earlier papers in the literature proceed by showing that, for games with many players, equal-treatment cores of their "balanced cover games", which are non-empty, can be...
Persistent link: https://www.econbiz.de/10010472889
This paper reinterprets the γ-core (Chander and Tulkens (1995, 1997)) and justifies it as well as its prediction that the efficient coalition structure is stable in terms of the coalition formation theory. It is assumed that coalitions can freely merge or break apart, are farsighted (that is,...
Persistent link: https://www.econbiz.de/10011592935
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...
Persistent link: https://www.econbiz.de/10011601129
We adopt the largest consistent set defined by Chwe [J. of Econ. Theory 63 (1994), 299-235] to predict which coalition structures are possibly stable when players are farsighted. We also introduce a refinement, the largest cautious consistent set, based on the assumption that players are...
Persistent link: https://www.econbiz.de/10011591399
Farsighted formulations of coalitional formation, for instance by Harsanyi (1974) and Ray and Vohra (2015), have typically been based on the von Neumann-Morgenstern (1944) stable set. These farsighted stable sets use a notion of indirect dominance in which an outcome can be dominated by a chain...
Persistent link: https://www.econbiz.de/10012159046
This paper introduces a model of coalition formation with claims. It assumes that agents have claims over the outputs they could produce by forming coalitions. Outputs, insufficient to meet the claims and are rationed by a rule whose proposals of division induce each agent to rank the coalitions...
Persistent link: https://www.econbiz.de/10011937226
I develop two related solution concepts, equilibrium coalitional behavior and credible equilibrium coalitional behavior, which capture foresight and impose the requirement that each coalition in a sequence of coalitional moves chooses optimally among all its available options. The model does not...
Persistent link: https://www.econbiz.de/10012308618