Abstract
Players that participate in acooperative game with transferable utilities are assumed to be part of apermission structure being a hierarchical organization in which there are players that need permission from other players before they can cooperate. Thus a permission structure limits the possibilities of coalition formation.
Various assumptions can be made about how a permission structure affects the cooperation possibilities. In this paper we consider thedisjunctive approach in which it is assumed that each player needs permission from at least one of his predecessors before he can act. We provide an axiomatic characterization of thedisjunctive permission value being theShapley value of a modified game in which we take account of the limited cooperation possibilities.
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I would like to thank Peter Borm, Rob Gilles and Anne van den Nouweland for their useful remarks on a previous draft of this paper.
Financial support from the Netherlands Organization for Scientific Research (NWO), grant 450-228-022, is gratefully acknowledged.
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Van Den Brink, R. An axiomatization of the disjunctive permission value for games with a permission structure. Int J Game Theory 26, 27–43 (1997). https://doi.org/10.1007/BF01262510
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DOI: https://doi.org/10.1007/BF01262510