Algorithms, games, and the internet
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
On the complexity of equilibria
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Computers and Intractability: A Guide to the Theory of NP-Completeness
Computers and Intractability: A Guide to the Theory of NP-Completeness
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Market Equilibrium via a Primal-Dual-Type Algorithm
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Graphical Models for Game Theory
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Playing large games using simple strategies
Proceedings of the 4th ACM conference on Electronic commerce
Correlated equilibria in graphical games
Proceedings of the 4th ACM conference on Electronic commerce
A polynomial-time nash equilibrium algorithm for repeated games
Proceedings of the 4th ACM conference on Electronic commerce
Selfish routing
The complexity of pure Nash equilibria
STOC '04 Proceedings of the thirty-sixth annual ACM symposium on Theory of computing
Complexity results about Nash equilibria
IJCAI'03 Proceedings of the 18th international joint conference on Artificial intelligence
Convergence time to Nash equilibria
ICALP'03 Proceedings of the 30th international conference on Automata, languages and programming
Computing correlated equilibria in multi-player games
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
On the Complexity of Two-PlayerWin-Lose Games
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Nash Equilibria in Random Games
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
The complexity of computing a Nash equilibrium
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Playing games in many possible worlds
EC '06 Proceedings of the 7th ACM conference on Electronic commerce
Perspectives on multiagent learning
Artificial Intelligence
Computing good nash equilibria in graphical games
Proceedings of the 8th ACM conference on Electronic commerce
Games of fixed rank: a hierarchy of bimatrix games
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Lossless abstraction of imperfect information games
Journal of the ACM (JACM)
On the Hardness and Existence of Quasi-Strict Equilibria
SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
On the complexity of Nash equilibria of action-graph games
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Symmetries and the complexity of pure Nash equilibrium
Journal of Computer and System Sciences
An Efficient PTAS for Two-Strategy Anonymous Games
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
Equilibria of Graphical Games with Symmetries
WINE '08 Proceedings of the 4th International Workshop on Internet and Network Economics
Algorithmic Game Theory: A Snapshot
ICALP '09 Proceedings of the 36th International Colloquium on Automata, Languages and Programming: Part I
Evolutionary equilibrium in Bayesian routing games: Specialization and niche formation
Theoretical Computer Science
Symmetries and the complexity of pure Nash equilibrium
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
Buyer-supplier games: optimization over the core
WAOA'07 Proceedings of the 5th international conference on Approximation and online algorithms
Buyer-games: Optimization over the core
Theoretical Computer Science
Equilibria of graphical games with symmetries
Theoretical Computer Science
Polynomial-time computation of exact correlated equilibrium in compact games
Proceedings of the 12th ACM conference on Electronic commerce
Equilibria problems on games: Complexity versus succinctness
Journal of Computer and System Sciences
ICALP'11 Proceedings of the 38th international colloquim conference on Automata, languages and programming - Volume Part I
Maximum causal entropy correlated equilibria for Markov games
The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 1
On the price of anarchy and stability of correlated equilibria of linear congestion games,,
ESA'05 Proceedings of the 13th annual European conference on Algorithms
The complexity of games on highly regular graphs
ESA'05 Proceedings of the 13th annual European conference on Algorithms
Walrasian equilibrium: hardness, approximations and tractable instances
WINE'05 Proceedings of the First international conference on Internet and Network Economics
Nash equilibria in all-optical networks
WINE'05 Proceedings of the First international conference on Internet and Network Economics
Survey: Nash equilibria: Complexity, symmetries, and approximation
Computer Science Review
Nash equilibrium for collective strategic reasoning
Expert Systems with Applications: An International Journal
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We initiate the systematic study of algorithmic issues involved in finding equilibria (Nash and correlated) in games with a large number of players; such games, in order to be computationally meaningful, must be presented in some succinct, game-specific way. We develop a general framework for obtaining polynomial-time algorithms for optimizing over correlated equilibria in such settings, and show how it can be applied successfully to symmetric games (for which we actually find an exact polytopal characterization), graphical games, and congestion games, among others. We also present complexity results implying that such algorithms are not possible in certain other such games. Finally, we present a polynomial-time algorithm, based on quantifier elimination, for finding a Nash equilibrium in symmetric games when the number of strategies is relatively small.