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CORR
2007
Springer
135views Education» more  CORR 2007»
13 years 4 months ago
Settling the Complexity of Computing Two-Player Nash Equilibria
We prove that Bimatrix, the problem of finding a Nash equilibrium in a two-player game, is complete for the complexity class PPAD (Polynomial Parity Argument, Directed version)
Xi Chen, Xiaotie Deng, Shang-Hua Teng
FORMATS
2010
Springer
13 years 2 months ago
Computing Equilibria in Two-Player Timed Games via Turn-Based Finite Games
We study two-player timed games where the objectives of the two players are not opposite. We focus on the standard notion of Nash equilibrium and propose a series of transformation...
Patricia Bouyer, Romain Brenguier, Nicolas Markey
SOFSEM
2009
Springer
14 years 1 months ago
-Hardness of Pure Nash Equilibrium in Scheduling and Connection Games
We prove NP-hardness of pure Nash equilibrium for some problems of scheduling games and connection games. The technique is standard: first, we construct a gadget without the desir...
Nguyen Kim Thang
ICPP
2009
IEEE
13 years 11 months ago
Computing Equilibria in Bimatrix Games by Parallel Vertex Enumeration
—Equilibria computation is of great importance to many areas such as economics, control theory, and recently computer science. We focus on the computation of Nash equilibria in t...
Jonathan Widger, Daniel Grosu
FOCS
2009
IEEE
13 years 11 months ago
Settling the Complexity of Arrow-Debreu Equilibria in Markets with Additively Separable Utilities
We prove that the problem of computing an Arrow-Debreu market equilibrium is PPAD-complete even when all traders use additively separable, piecewise-linear and concave utility fun...
Xi Chen, Decheng Dai, Ye Du, Shang-Hua Teng