Complexity of Verifying Game Equilibria

  • Authors:
  • Emmanuel M. Tadjouddine

  • Affiliations:
  • Department of Computing Science, King's College, University of Aberdeen, Aberdeen AB24 3UE, Scotland

  • Venue:
  • CEEMAS '07 Proceedings of the 5th international Central and Eastern European conference on Multi-Agent Systems and Applications V
  • Year:
  • 2007

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Abstract

We consider the problem of verifying game equilibria in multi-agent systems. We first identify a certain class of games where Nash or Bayesian Nash equilibria can be verified in polynomial time. Second, we show that verifying a dominant strategy equilibrium is NP-complete even for normal form games. Eventually, we consider general games and discuss the complexity of equilibrium verification.