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» On Nash-Equilibria of Approximation-Stable Games
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CORR
2007
Springer
135views Education» more  CORR 2007»
14 years 9 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
93
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CMSB
2006
Springer
15 years 1 months ago
Rewriting Game Theory as a Foundation for State-Based Models of Gene Regulation
We present a game-theoretic foundation for gene regulatory analysis based on the recent formalism of rewriting game theory. Rewriting game theory is discrete and comes with a graph...
Chafika Chettaoui, Franck Delaplace, Pierre Lescan...
TCS
2010
14 years 4 months ago
Window-games between TCP flows
We consider network congestion problems between TCP flows and define a new game, the Window-game, which models the problems of network congestion caused by the competing flows. An...
Pavlos S. Efraimidis, Lazaros Tsavlidis, George B....
DAGSTUHL
2007
14 years 11 months ago
Homotopy Methods to Compute Equilibria in Game Theory
This paper presents a complete survey of the use of homotopy methods in game theory. Homotopies allow for a robust computation of game-theoretic equilibria and their refinements....
P. Jean-Jacques Herings, Ronald Peeters
CORR
2010
Springer
104views Education» more  CORR 2010»
14 years 9 months ago
A new proof of Nash's Theorem via exchangeable equilibria
We give a novel proof of the existence of Nash equilibria in all finite games without using fixed point theorems or path following arguments. Our approach relies on a new notion i...
Noah D. Stein, Pablo A. Parrilo, Asuman E. Ozdagla...