Vidal's libraryTitle: | A polynomial-time Nash Equilibrium Algorithm for Repeated Games |
Author: | Michael L. Littman and Peter Stone |
Book Tittle: | Proceedings of the 4th ACM conference on Electronic commerce |
Pages: | 48--54 |
Publisher: | ACM Press |
Year: | 2003 |
DOI: | 10.1145/779928.779935 |
Abstract: | With the increasing reliance on game theory as a foundation for auctions and electronic commerce, efficient algorithms for computing equilibria in multiplayer general-sum games are of great theoretical and practical interest. The computational complexity of finding a Nash equilibrium for a one-shot bimatrix game is a well known open problem. This paper treats a closely related problem, that of finding a Nash equilibrium for an average-payoff phrepeated bimatrix game, and presents a polynomial-time algorithm. Our approach draws on the "folk theorem" from game theory and shows how finite-state equilibrium strategies can be found efficiently and expressed succinctly. |
Cited by 24 - Google Scholar
@InProceedings{littman03a,
author = {Michael L. Littman and Peter Stone},
title = {A polynomial-time Nash Equilibrium Algorithm for
Repeated Games},
booktitle = {Proceedings of the 4th ACM conference on Electronic
commerce},
pages = {48--54},
location = {San Diego, CA, USA},
doi = {10.1145/779928.779935},
publisher = {{ACM} Press},
address = {New York, {NY}, {USA}},
year = 2003,
abstract = {With the increasing reliance on game theory as a
foundation for auctions and electronic commerce,
efficient algorithms for computing equilibria in
multiplayer general-sum games are of great
theoretical and practical interest. The
computational complexity of finding a Nash
equilibrium for a one-shot bimatrix game is a well
known open problem. This paper treats a closely
related problem, that of finding a Nash equilibrium
for an average-payoff phrepeated bimatrix game, and
presents a polynomial-time algorithm. Our approach
draws on the "folk theorem" from game theory and
shows how finite-state equilibrium strategies can be
found efficiently and expressed succinctly.},
url = {http://jmvidal.cse.sc.edu/library/littman03a.pdf},
cluster = {7404242883626535424},
keywords = {game-theory learning}
}
Last modified: Wed Mar 9 10:16:03 EST 2011