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» Equilibria, Fixed Points, and Complexity Classes
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CORR
2008
Springer
208views Education» more  CORR 2008»
13 years 4 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
SIAMCOMP
2010
174views more  SIAMCOMP 2010»
13 years 2 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
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
FOCS
2008
IEEE
13 years 4 months ago
Market Equilibria in Polynomial Time for Fixed Number of Goods or Agents
We consider markets in the classical Arrow-Debreu model. There are n agents and m goods. Each buyer has a concave utility function (of the bundle of goods he/she buys) and an init...
Nikhil R. Devanur, Ravi Kannan
BIRTHDAY
2010
Springer
13 years 5 months ago
Fixed-Point Definability and Polynomial Time on Chordal Graphs and Line Graphs
The question of whether there is a logic that captures polynomial time was formulated by Yuri Gurevich in 1988. It is still wide open and regarded as one of the main open problems...
Martin Grohe