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» On Nash-Equilibria of Approximation-Stable Games
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JUCS
2010
133views more  JUCS 2010»
14 years 6 months ago
From Computing Sets of Optima, Pareto Sets, and Sets of Nash Equilibria to General Decision-Related Set Computations
: Several algorithms have been proposed to compute sets of optima, Pareto sets, and sets of Nash equilibria. In this paper, we present a general algorithm for decision-related set ...
Vladik Kreinovich, Bartlomiej Jacek Kubica
UAI
2001
15 years 1 months ago
Graphical Models for Game Theory
We introduce a compact graph-theoretic representation for multi-party game theory. Our main result is a provably correct and efficient algorithm for computing approximate Nash equ...
Michael J. Kearns, Michael L. Littman, Satinder P....
97
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JGAA
2007
123views more  JGAA 2007»
14 years 11 months ago
A Polynomial Time Algorithm for Finding Nash Equilibria in Planar Win-Lose Games
Abstract. Two-player win-lose games have a simple directed graph representation. Exploiting this, we develop graph theoretic techniques for finding Nash equilibria in such games. ...
Louigi Addario-Berry, Neil Olver, Adrian Vetta
CORR
2007
Springer
141views Education» more  CORR 2007»
14 years 11 months ago
Acyclicity of Preferences, Nash Equilibria, and Subgame Perfect Equilibria: a Formal and Constructive Equivalence
Abstract. Sequential game and Nash equilibrium are basic key concepts in game theory. In 1953, Kuhn showed that every sequential game has a Nash equilibrium. The two main steps of ...
Stéphane Le Roux
CORR
2008
Springer
208views Education» more  CORR 2008»
14 years 11 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