Linear-efficient-symmetric values and inequality in TU-games [* Cross-Reference *]

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Marc Dubois; Stéphane Mussard, 2026, "Linear-efficient-symmetric values and inequality in TU-games [* Cross-Reference *]", https://lore.list.lu/citation?persistentId=perma:LIST.MYFHRW, LIST Open Repository, V1
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Description
This paper introduces a dominance criterion that determines whether a TU-game is less unequal than another. A game is derived from another by non-void sequences of inequality-reducing transfers of worth between coalitions of equal size if and only if the resulting game is less unequal in the Lorenz sense. The paper also measures payoff inequality among players (for a TU-game) through the Lorenz criterion. When a distribution (allocation) of payoff is issued from another by non-void sequences of inequality-reducing transfers of payoff between players, the resulting distribution of payoff is less unequal according to the Lorenz criterion (and conversely). It is shown that any linear-efficient-symmetric value, being invariant and separable under worth transfers and satisfying a fair treatment axiom, converts an inequality-reduction in TU-games into a decrease in payoff inequality among players. (2026-03-18)
***This entry has been automatically imported via OpenAlex by LIST harvest scripts. Please refer to https://doi.org/10.1007/s11238-026-10129-4 for the original and latest version of the publication*** (2026-07-01)
Subject Business and Management; Mathematical Sciences; Social Sciences
Keyword Stochastic game, Inequality, Lorenz curve, Separable space, Risk dominance, Invariant (physics)
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