Simple strategies for large zero-sum games with applications to complexity theory

@inproceedings{Lipton1994SimpleSF,
  title={Simple strategies for large zero-sum games with applications to complexity theory},
  author={Richard J. Lipton and N. Young},
  booktitle={STOC '94},
  year={1994}
}
Von Neumann's Min-Max Theorem guarantees that each player of a zero-sum matrix game has an optimal mixed strategy. This paper gives an elementary proof that each player has a near-optimal mixed strategy that chooses uniformly at random from a multiset of pure strategies of size logarithmic in the number of pure strategies available to the opponent. For exponentially large games, for which even representing an optimal mixed strategy can require exponential space, it follows that there are near… Expand
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