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Journal of Computer and System Sciences - Special issue: 31st IEEE conference on foundations of computer science, Oct. 22–24, 1990
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FOCS '06 Proceedings of the 47th Annual IEEE Symposium on Foundations of Computer Science
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On the Complexity of Nash Equilibria and Other Fixed Points (Extended Abstract)
FOCS '07 Proceedings of the 48th Annual IEEE Symposium on Foundations of Computer Science
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On oblivious PTAS's for nash equilibrium
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An optimization approach for approximate Nash equilibria
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
On the complexity of 2d discrete fixed point problem
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
The game world is flat: the complexity of nash equilibria in succinct games
ICALP'06 Proceedings of the 33rd international conference on Automata, Languages and Programming - Volume Part I
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We present a direct reduction from k-player games to 2- player games that preserves approximate Nash equilibrium. Previously, the computational equivalence of computing approximate Nash equilibrium in k-player and 2-player games was established via an indirect reduction. This included a sequence of works defining the complexity class PPAD, identifying complete problems for this class, showing that computing approximate Nash equilibrium for k-player games is in PPAD, and reducing a PPAD-complete problem to computing approximate Nash equilibrium for 2-player games. Our direct reduction makes no use of the concept of PPAD, eliminating some of the difficulties involved in following the known indirect reduction.