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FOCS
2006
IEEE
13 years 10 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
ATAL
2008
Springer
13 years 6 months ago
Approximating mixed Nash equilibria using smooth fictitious play in simultaneous auctions
We investigate equilibrium strategies for bidding agents that participate in multiple, simultaneous second-price auctions with perfect substitutes. For this setting, previous rese...
Enrico H. Gerding, Zinovi Rabinovich, Andrew Byde,...
MOR
2010
106views more  MOR 2010»
13 years 3 months ago
Smoothing Techniques for Computing Nash Equilibria of Sequential Games
We develop first-order smoothing techniques for saddle-point problems that arise in the Nash equilibria computation of sequential games. The crux of our work is a construction of ...
Samid Hoda, Andrew Gilpin, Javier Peña, Tuo...
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