On the Complexity of Two-PlayerWin-Lose Games

  • Authors:
  • Tim Abbott;Daniel Kane;Paul Valiant

  • Affiliations:
  • MIT;MIT;MIT, Computer Science and Artificial Intelligence Laboratory

  • Venue:
  • FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2005

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Abstract

The efficient computation of Nash equilibria is one of the most formidable challenges in computational complexity today. The problem remains open for two-player games. We show that the complexity of two-player Nash equilibria is unchanged when all outcomes are restricted to be 0 or 1. That is, win-or-lose games are as complex as the general case for two-player games.