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Article dans une revue Mathematical Social Sciences Année : 2012

Weighted component fairness for forest games

Résumé

We study the set of allocation rules generated by component efficiency and weighted component fairness, a generalization of component fairness introduced by Herings et al. (2008). Firstly, if the underlying TU-game is superadditive, this set coincides with the core of a graph-restricted game associated with the forest game. Secondly, among this set, only the random tree solutions (Béal et al., 2010) induce Harsanyi payoff vectors for the associated graph-restricted game. We then obtain a new characterization of the random tree solutions in terms of component efficiency and weighted component fairness.
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Dates et versions

halshs-00678832, version 1 (14-03-2012)

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Sylvain Béal, Éric Rémila, Philippe Solal. Weighted component fairness for forest games. Mathematical Social Sciences, 2012, 64 (2), pp.144-151. ⟨10.1016/j.mathsocsci.2012.03.004⟩. ⟨halshs-00678832⟩
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