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Null players, solidarity, and the egalitarian Shapley values

  • The Shapley value probably is the most eminent single-point solution concept for TU-games. In its standard characterization, the null player property indicates the absence of solidarity among the players. First, we replace the null player property by a new axiom that guarantees null players non-negative payoffs whenever the grand coalition’s worth is non-negative. Second, the equal treatment property is strengthened into desirability. This way, we obtain a new characterization of the class of egalitarian Shapley values, i.e., of coex combinations of the Shapley value and the equal division solution. Within this characterization, additivity and desirability can be replaced by strong differential monotonicity, which translates higher productivity differentials into higher payoff differentials._x000D_ <div class="indent">

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Document Type:Article
Author:André Casajus, Frank Huettner
Chairs and Professorships:Chair of Economics and Information Systems
Year of Completion:2013
In: Journal of Mathematical Economics, 49 (2013) 1, 58–61