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» Decision Problems for Nash Equilibria in Stochastic Games
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CORR
2008
Springer
137views Education» more  CORR 2008»
13 years 7 months ago
On the Complexity of Nash Equilibria of Action-Graph Games
Abstract. We consider the problem of computing Nash Equilibria of action-graph games (AGGs). AGGs, introduced by Bhat and Leyton-Brown, is a succinct representation of games that e...
Constantinos Daskalakis, Grant Schoenebeck, Gregor...
TSP
2008
116views more  TSP 2008»
13 years 7 months ago
Optimal Linear Precoding Strategies for Wideband Noncooperative Systems Based on Game Theory - Part I: Nash Equilibria
In this two-part paper, we propose a decentralized strategy, based on a game-theoretic formulation, to find out the optimal precoding/multiplexing matrices for a multipoint-to-mult...
Gesualdo Scutari, Daniel Pérez Palomar, Ser...
DIALM
2003
ACM
175views Algorithms» more  DIALM 2003»
14 years 1 months ago
Equilibria in topology control games for ad hoc networks
We study topology control problems in ad hoc networks, where network nodes get to choose their power levels in order to ensure desired connectivity properties. Unlike most other w...
Stephan Eidenbenz, V. S. Anil Kumar, Sibylle Zust
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
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