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» Program equilibria and discounted computation time
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ICALP
2003
Springer
14 years 22 days ago
Convergence Time to Nash Equilibria
We study the number of steps required to reach a pure Nash Equilibrium in a load balancing scenario where each job behaves selfishly and attempts to migrate to a machine which will...
Eyal Even-Dar, Alexander Kesselman, Yishay Mansour
FOCS
2008
IEEE
13 years 7 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
SAGT
2010
Springer
167views Game Theory» more  SAGT 2010»
13 years 6 months ago
A Perfect Price Discrimination Market Model with Production, and a (Rational) Convex Program for It
Recent results showing PPAD-completeness of the problem of computing an equilibrium for Fisher’s market model under additively separable, piecewise-linear, concave utilities (pl...
Gagan Goel, Vijay V. Vazirani
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 7 months ago
Semidefinite programming for N-Player Games
Abstract. We introduce two min-max problems: the first problem is to minimize the supremum of finitely many rational functions over a compact basic semi-algebraic set whereas the s...
Rida Laraki, Jean B. Lasserre
WINE
2007
Springer
161views Economy» more  WINE 2007»
14 years 1 months ago
New Algorithms for Approximate Nash Equilibria in Bimatrix Games
Abstract. We consider the problem of computing additively approximate Nash equilibria in non-cooperative two-player games. We provide a new polynomial time algorithm that achieves ...
Hartwig Bosse, Jaroslaw Byrka, Evangelos Markakis