Characterization of the core in games with restricted cooperation |
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Institution: | 1. Department of Business and Management Science, NHH Norwegian School of Economics, N-5045 Bergen, Norway;2. Département de génie mécanique, Université Laval, Québec, G1V 0A6, Canada;1. School of Computer Science and Engineering, The Hebrew University, Jerusalem, Israel;2. School of Computer Science, The Interdisciplinary Center, Herzliya, Israel |
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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 International Journal of Game Theory 15 (1986) 187–200; Handbook of Game Theory with Economic Applications, vol. I. Elsevier Science Publishers B.V., pp. 397–412] 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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