PHYSICS AND MATHEMATICS

Cooperative TU games with symmetric agents

A. B. Zinchenko

Southern Federal University

Abstract: The paper is devoted to cooperative transferable utility games in which at least two participants are symmetric. The technique of the derivation of necessary and sufficient conditions for existence of symmetric core is demonstrated. It is proved that they can be used for proof of core emptiness.

Keywords: cooperative TU game, symmetric players, symmetric core, existence condition.