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» On the Complexity of Nash Equilibria and Other Fixed Points
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FOCS
2007
IEEE
13 years 11 months ago
On the Complexity of Nash Equilibria and Other Fixed Points (Extended Abstract)
d Abstract) Kousha Etessami LFCS, School of Informatics University of Edinburgh Mihalis Yannakakis Department of Computer Science Columbia University We reexamine what it means to...
Kousha Etessami, Mihalis Yannakakis
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 3 months ago
On the Complexity of Nash Equilibria and Other Fixed Points
We reexamine what it means to compute Nash equilibria and, more generally, what it means to compute a fixed point of a given Brouwer function, and we investigate the complexity o...
Kousha Etessami, Mihalis Yannakakis
CORR
2008
Springer
208views Education» more  CORR 2008»
13 years 5 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
CORR
2010
Springer
104views Education» more  CORR 2010»
13 years 5 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...
JSAC
2008
140views more  JSAC 2008»
13 years 5 months ago
Optimality and Complexity of Pure Nash Equilibria in the Coverage Game
In this paper, we investigate the coverage problem in wireless sensor networks using a game theory method. We assume that nodes are randomly scattered in a sensor field and the goa...
Xin Ai, Vikram Srinivasan, Chen-Khong Tham