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JGAA
2007
123views more  JGAA 2007»
13 years 6 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
99views Education» more  CORR 2007»
13 years 6 months ago
A parametric representation of totally mixed Nash equilibria
We present an algorithm to compute a parametric description of the totally mixed Nash equilibria of a generic game in normal form with a fixed structure. Using this representatio...
Gabriela Jeronimo, Daniel Perrucci, Juan Sabia
SIGECOM
2010
ACM
173views ECommerce» more  SIGECOM 2010»
13 years 7 months ago
Approximating pure nash equilibrium in cut, party affiliation, and satisfiability games
Cut games and party affiliation games are well-known classes of potential games. Schaffer and Yannakakis showed that computing pure Nash equilibrium in these games is PLScomplete....
Anand Bhalgat, Tanmoy Chakraborty, Sanjeev Khanna
CORR
2008
Springer
125views Education» more  CORR 2008»
13 years 6 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
SAGA
2007
Springer
14 years 25 days ago
Probabilistic Techniques in Algorithmic Game Theory
We consider applications of probabilistic techniques in the framework of algorithmic game theory. We focus on three distinct case studies: (i) The exploitation of the probabilistic...
Spyros C. Kontogiannis, Paul G. Spirakis