A Note on Gale, Kuhn, and Tucker's Reductions of Zero-Sum Games

Shuige Liu

Papers from arXiv.org

Abstract: Gale, Kuhn and Tucker (1950) introduced two ways to reduce a zero-sum game by packaging some strategies with respect to a probability distribution on them. In terms of value, they gave conditions for a desirable reduction. We show that a probability distribution for a desirable reduction relies on optimal strategies in the original game. Also, we correct an improper example given by them to show that the reverse of a theorem does not hold.

Date: 2017-10
New Economics Papers: this item is included in nep-gth and nep-hpe
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