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» On Nash-Equilibria of Approximation-Stable Games
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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
CMSB
2006
Springer
13 years 11 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
13 years 2 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
13 years 9 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»
13 years 7 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...