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

Shuige Liu

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arXiv · 1710.02326

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

Shuige Liu

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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.

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Shuige Liu. 2017-10-06. A Note on Gale, Kuhn, and Tucker's Reductions of Zero-Sum Games. https://arxiv.org/abs/1710.02326

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