Article ID Journal Published Year Pages File Type
972574 Mathematical Social Sciences 2014 6 Pages PDF
Abstract

•We define and characterize the family of all weighted solidarity values.•We present two axiomatizations, one with additivity, and the other, without it.•We study the behavior of these values in the class of monotonic games.

We define and characterize the class of all weighted solidarity values. Our first characterization employs the classical axioms determining the solidarity value (except symmetry), that is, efficiency, additivity and the A-null player axiom, and two new axioms called proportionality and strong individual rationality. In our second axiomatization, the additivity and the A-null player axioms are replaced by a new axiom called average marginality.

Related Topics
Physical Sciences and Engineering Mathematics Applied Mathematics
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