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Article Dans Une Revue Mathematical Social Sciences Année : 2015

Preserving or removing special players: What keeps your payoff unchanged in TU-games?

Résumé

If a player is removed from a game, what keeps the payoff of the remaining players unchanged? Is it the removal of a special player or its presence among the remaining players? This article answers this question in a complement study to Kamijo and Kongo (2012). We introduce axioms of invariance from player deletion in presence of a special player. In particular, if the special player is a nullifying player (resp. dummifying player), then the equal division value (resp. equal surplus division value) is characterized by the associated axiom of invariance plus efficiency and balanced cycle contributions. There is no type of special player from such a combination of axioms that characterizes the Shapley value.

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Dates et versions

halshs-01090493 , version 1 (03-12-2014)

Identifiants

Citer

Sylvain Béal, Éric Rémila, Philippe Solal. Preserving or removing special players: What keeps your payoff unchanged in TU-games?. Mathematical Social Sciences, 2015, 73, pp. 23-31. ⟨10.1016/j.mathsocsci.2014.11.003⟩. ⟨halshs-01090493⟩
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