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» On Nash-Equilibria of Approximation-Stable Games
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JUCS
2010
133views more  JUCS 2010»
13 years 1 days 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
13 years 6 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....
JGAA
2007
123views more  JGAA 2007»
13 years 5 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»
13 years 5 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»
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