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CORR
2008
Springer
208views Education» more  CORR 2008»
13 years 7 months ago
Equilibria, Fixed Points, and Complexity Classes
Many models from a variety of areas involve the computation of an equilibrium or fixed point of some kind. Examples include Nash equilibria in games; market equilibria; computing o...
Mihalis Yannakakis
CSL
2009
Springer
14 years 2 months ago
Decision Problems for Nash Equilibria in Stochastic Games
We analyse the computational complexity of finding Nash equilibria in stochastic multiplayer games with ω-regular objectives.While the existence of an equilibrium whose payoff fal...
Michael Ummels, Dominik Wojtczak
FOCS
2009
IEEE
14 years 2 months ago
Reducibility among Fractional Stability Problems
— In a landmark paper [32], Papadimitriou introduced a number of syntactic subclasses of TFNP based on proof styles that (unlike TFNP) admit complete problems. A recent series of...
Shiva Kintali, Laura J. Poplawski, Rajmohan Rajara...
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