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Necessary players, Myerson fairness and the equal treatment of equals

Abstract : This article addresses linear sharing rules on transferable utility games (TU-games) with various structures, namely communication structures and conference structures as defined by Myerson in two papers (Myerson in Mathematics of Operations Research 2:225–229, 1977; Myerson in International Journal of Game Theory 9:169–182, 1980). Here, using matrix expressions, we rewrite those sharing rules. With this presentation we identify the close relationship between the fairness property and an equal treatment of necessary players axiom. Moreover, we show that the latter is implied by the equal treatment of equals, linking the fairness property to the notion of equality.
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Submitted on : Friday, May 3, 2019 - 8:49:06 AM
Last modification on : Wednesday, July 13, 2022 - 10:43:45 AM




Florian Navarro. Necessary players, Myerson fairness and the equal treatment of equals. Annals of Operations Research, Springer Verlag, 2018, pp.1-9. ⟨10.1007/s10479-018-3055-0⟩. ⟨hal-02118370⟩



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