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CORR
2007
Springer
135views Education» more  CORR 2007»
13 years 7 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
CSJM
2006
81views more  CSJM 2006»
13 years 7 months ago
Nash equilibria set computing in finite extended games
The Nash equilibria set (NES) is described as an intersection of graphs of best response mappings. The problem of NES computing for multi-matrix extended games is considered. A me...
Valeriu Ungureanu
SIGECOM
2006
ACM
184views ECommerce» more  SIGECOM 2006»
14 years 1 months ago
Computing pure nash equilibria in graphical games via markov random fields
We present a reduction from graphical games to Markov random fields so that pure Nash equilibria in the former can be found by statistical inference on the latter. Our result, wh...
Constantinos Daskalakis, Christos H. Papadimitriou
FOCS
2006
IEEE
14 years 1 months ago
Computing Nash Equilibria: Approximation and Smoothed Complexity
We advance significantly beyond the recent progress on the algorithmic complexity of Nash equilibria by solving two major open problems in the approximation of Nash equilibria an...
Xi Chen, Xiaotie Deng, Shang-Hua Teng
CORR
2010
Springer
135views Education» more  CORR 2010»
13 years 7 months ago
Bounded Rationality, Strategy Simplification, and Equilibrium
It is frequently suggested that predictions made by game theory could be improved by considering computational restrictions when modeling agents. Under the supposition that player...
Hubie Chen