The complexity of computing a Nash equilibrium

Abstract

We resolve the question of the complexity of Nash equilibrium by showing that the problem of computing a Nash equilibrium in a game with 4 or more players is complete for the complexity class PPAD. Our proof uses ideas from the recently-established equivalence between polynomial time solvability of normal form games and graphical games, establishing that these kinds of games can simulate a PPAD-complete class of Brouwer functions.

DOI: 10.1145/1132516.1132527

Extracted Key Phrases

13 Figures and Tables

050'04'05'06'07'08'09'10'11'12'13'14'15'16'17
Citations per Year

837 Citations

Semantic Scholar estimates that this publication has 837 citations based on the available data.

See our FAQ for additional information.

Cite this paper

@article{Daskalakis2005TheCO, title={The complexity of computing a Nash equilibrium}, author={Constantinos Daskalakis and Paul W. Goldberg and Christos H. Papadimitriou}, journal={SIAM J. Comput.}, year={2005}, volume={39}, pages={195-259} }