A concise axiomatization of a Shapley-type value for stochastic coalition processes

Ulrich Faigle () and Michel Grabisch

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Abstract: The Shapley value is defined as 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 model of coalition formation 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 weaker than the one in the original paper but allows a much more transparent correctness proof. Moreover, the logical independence of the axioms is proved.

Keywords: Coalitional game; coalition formation process; Shapley value; Jeux coalitionnel; processus de formation de coalition; valeur de Shapley (search for similar items in EconPapers)
Date: 2013-06
New Economics Papers: this item is included in nep-gth
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00841259v1
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Published in 2013

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Related works:
Journal Article: A concise axiomatization of a Shapley-type value for stochastic coalition processes (2013)
Working Paper: A concise axiomatization of a Shapley-type value for stochastic coalition processes (2013)
Working Paper: A Concise Axiomatization of a Shapley-type Value for Stochastic Coalition Processes (2013)
Working Paper: A Concise Axiomatization of a Shapley-type Value for Stochastic Coalition Processes (2013)
Working Paper: A Concise Axiomatization of a Shapley-type Value for Stochastic Coalition Processes (2013)
Working Paper: A concise axiomatization of a Shapley-type value for stochastic coalition processes (2013)
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