Characterization of the core in games with restricted cooperation

Characterization of the core in games with restricted cooperation

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Article ID: iaor20084065
Country: Netherlands
Volume: 175
Issue: 2
Start Page Number: 860
End Page Number: 869
Publication Date: Dec 2006
Journal: European Journal of Operational Research
Authors: ,
Abstract:

Games with restricted cooperation describe situations in which the players are not completely free in forming coalitions. The restrictions in coalition formation can be attributed to economic, hierarchical, political or ethical reasons. In order to manage these situations, the model includes a collection of coalitions which determines the feasible agreements among the agents. The purpose of this paper is to extend the characterization of the core of a cooperative game, made by Peleg, to the context of games with restricted cooperation. In order to make the approach as general as possible, we will consider classes of games with restricted cooperation in which the collection of feasible coalitions has a determined structure, and we will impose conditions on that structure to generalize the Peleg's axiomatization.

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