Optimization by simulated annealing
Readings in computer vision: issues, problems, principles, and paradigms
Complexity of finding embeddings in a k-tree
SIAM Journal on Algebraic and Discrete Methods
Probabilistic reasoning in intelligent systems: networks of plausible inference
Probabilistic reasoning in intelligent systems: networks of plausible inference
Readings in uncertain reasoning
Finding approximate separators and computing tree width quickly
STOC '92 Proceedings of the twenty-fourth annual ACM symposium on Theory of computing
Graph minors. XIII: the disjoint paths problem
Journal of Combinatorial Theory Series B
On the Desirability of Acyclic Database Schemes
Journal of the ACM (JACM)
A sufficiently fast algorithm for finding close to optimal clique trees
Artificial Intelligence
Graphical Models for Game Theory
UAI '01 Proceedings of the 17th Conference in Uncertainty in Artificial Intelligence
Correlated equilibria in graphical games
Proceedings of the 4th ACM conference on Electronic commerce
The threshold for random k-SAT is 2k (ln 2 - O(k))
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Pure Nash equilibria: hard and easy games
Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge
Computing correlated equilibria in multi-player games
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
A new look at survey propagation and its generalizations
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Survey propagation: An algorithm for satisfiability
Random Structures & Algorithms
Reducibility among equilibrium problems
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
The complexity of computing a Nash equilibrium
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Nash equilibria in graphical games on trees revisited
EC '06 Proceedings of the 7th ACM conference on Electronic commerce
SOFSEM'05 Proceedings of the 31st international conference on Theory and Practice of Computer Science
Computing Equilibria in Large Games We Play
CiE '08 Proceedings of the 4th conference on Computability in Europe: Logic and Theory of Algorithms
On the complexity of Nash equilibria of action-graph games
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Tractable Optimization Problems through Hypergraph-Based Structural Restrictions
ICALP '09 Proceedings of the 36th Internatilonal Collogquium on Automata, Languages and Programming: Part II
Tree Projections: Game Characterization and Computational Aspects
Graph Theory, Computational Intelligence and Thought
The impact of network topology on pure Nash equilibria in graphical games
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Computing pure Nash equilibria in symmetric action graph games
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
Approximate Pure Nash Equilibria via Lovász Local Lemma
WINE '09 Proceedings of the 5th International Workshop on Internet and Network Economics
Computing pure strategy nash equilibria in compact symmetric games
Proceedings of the 11th ACM conference on Electronic commerce
Pure Nash equilibria: complete characterization of hard and easy graphical games
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
History-dependent graphical multiagent models
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
On the complexity of core, kernel, and bargaining set
Artificial Intelligence
Equilibria problems on games: Complexity versus succinctness
Journal of Computer and System Sciences
The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 3
Learning and predicting dynamic networked behavior with graphical multiagent models
Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems - Volume 1
Finding pure nash equilibrium of graphical game via constraints satisfaction approach
ESCAPE'07 Proceedings of the First international conference on Combinatorics, Algorithms, Probabilistic and Experimental Methodologies
Probabilistic inference and monadic second order logic
TCS'12 Proceedings of the 7th IFIP TC 1/WG 202 international conference on Theoretical Computer Science
A study on the stability and efficiency of graphical games with unbounded treewidth
Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
Decomposing combinatorial auctions and set packing problems
Journal of the ACM (JACM)
Hi-index | 0.00 |
We present a reduction from graphical games to Markov random fields so that pure Nash equilibria in the former can be found by statistical inference on the latter. Our result, when combined with the junction tree algorithm for statistical inference, yields a unified proof of all previously known tractable cases of the NP-complete problem of finding pure Nash equilibria in graphical games, but also implies efficient algorithms for new classes, such as the games with O(log n) treewidth. Furthermore, this important problem becomes susceptible to a wealth of sophisticated and empirically successful techniques from Machine Learning.