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We generalize the null player property (satisfied by the Shapley value) and nullifying player property (satisfied by the equal division solution) to the so-called delta-reducing player property, stating that a delta-reducing player (being a player such that any coalition containing this player...
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on the one hand and the core property of an allocation on the other. In particular we show that it is an inhomogeneous … sacrifice') which is derived from the egalitarian-equivalent concept suggested by Moulin (1987). We also develop a simple core … test by which it can be checked whether a given allocation is in the core thus being a possible outcome of a cooperative …
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One of the main issues in economics is the trade-off between marginalism and egalitarianism. In the context of cooperative games this trade-off can be framed as one of choosing to allocate according to the Shapley value or the equal division solution. In this paper we provide tools that make it...
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