# A Concise Axiomatization of a Shapley-type Value for Stochastic Coalition Processes

Abstract : The classical Shapley value is the average marginal contribution of a player, taken over all possible ways to form the grand coalition $N$ when one starts from the empty coalition and adds players one by one. In a previous paper, the authors have introduced an allocation scheme for a general coalition formation model where the evolution of the coalition of active players is ruled by a Markov chain and need not finish with the grand coalition. This note provides an axiomatization which is only slightly weaker than the original one but allows a much more transparent proof. Moreover, the logical independence of the axioms is exhibited.
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Article dans une revue
Economic Theory Bulletin, Springer International Publishing, 2013, pp.189-199
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Littérature citée [11 références]

https://halshs.archives-ouvertes.fr/halshs-00976923
Contributeur : Michel Grabisch <>
Soumis le : jeudi 10 avril 2014 - 15:13:50
Dernière modification le : jeudi 8 novembre 2018 - 15:32:03
Document(s) archivé(s) le : jeudi 10 juillet 2014 - 12:30:49

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Ulrich Faigle, Michel Grabisch. A Concise Axiomatization of a Shapley-type Value for Stochastic Coalition Processes. Economic Theory Bulletin, Springer International Publishing, 2013, pp.189-199. 〈halshs-00976923〉

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