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On the symmetry relation between different characteristic functions for additively separable cooperative games

This study was partially done while E. Gromova was with St. Petersburg State University

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  • We analyze 4 characteristic functions $ V^\alpha $, $ V^\delta $, $ V^\zeta $, and $ V^\eta $, and give a necessary condition for these functions to satisfy the relation $ V^\alpha - V^\delta = V^\zeta - V^\eta $ for all coalitions $ S $. To do so, we define and formally analyze the class of additively separable games. It is shown that many important types of games, both static and dynamic, belong to this class.

    Mathematics Subject Classification: Primary: 91A12;Secondary: 91A06.


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