Consistency, population solidarity, and egalitarian solutions for TU-games

Theory and Decision 81 (3):427-447 (2016)
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Abstract

A solution for cooperative games with transferable utility, or simply TU-games, assigns a payoff vector to every TU-game. In this paper we discuss two classes of equal surplus sharing solutions. The first class consists of all convex combinations of the equal division solution and the center-of-gravity of the imputation-set value. The second class is the dual class consisting of all convex combinations of the equal division solution and the egalitarian non-separable contribution value. We provide characterizations of the two classes of solutions using either population solidarity or a reduced game consistency in addition to other standard properties.

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