Gale, Kuhn and Tucker  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.
|Publication status||Published - 2017 Oct 6|
- Maximin value
- Optimal strategy
- Zero-sum game
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