TY - GEN

T1 - A direct reduction from k-player to 2-player approximate nash equilibrium

AU - Feige, Uriel

AU - Talgam-Cohen, Inbal

N1 - Funding Information:
A full version of this paper is available at http://arxiv.org/abs/1007.3886 . Work supported in part by The Israel Science Foundation (grant No. 873/08).

PY - 2010

Y1 - 2010

N2 - 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.

AB - 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.

UR - http://www.scopus.com/inward/record.url?scp=78649628626&partnerID=8YFLogxK

U2 - 10.1007/978-3-642-16170-4_13

DO - 10.1007/978-3-642-16170-4_13

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AN - SCOPUS:78649628626

SN - 3642161693

SN - 9783642161698

T3 - Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics)

SP - 138

EP - 149

BT - Algorithmic Game Theory - Third International Symposium, SAGT 2010, Proceedings

T2 - 3rd International Symposium on Algorithmic Game Theory, SAGT 2010

Y2 - 18 October 2010 through 20 October 2010

ER -