NP-completeness of some problems concerning voting games
International Journal of Game Theory
On the complexity of cooperative solution concepts
Mathematics of Operations Research
Coalition structure generation with worst case guarantees
Artificial Intelligence
NP-completeness for calculating power indices of weighted majority games
Theoretical Computer Science
Complexity and Approximation: Combinatorial Optimization Problems and Their Approximability Properties
Computers and Intractability; A Guide to the Theory of NP-Completeness
Computers and Intractability; A Guide to the Theory of NP-Completeness
Marginal contribution nets: a compact representation scheme for coalitional games
Proceedings of the 6th ACM conference on Electronic commerce
Finding nucleolus of flow game
SODA '06 Proceedings of the seventeenth annual ACM-SIAM symposium on Discrete algorithm
Computing the nucleolus of weighted voting games
SODA '09 Proceedings of the twentieth Annual ACM-SIAM Symposium on Discrete Algorithms
Coalition Structures in Weighted Voting Games
Proceedings of the 2008 conference on ECAI 2008: 18th European Conference on Artificial Intelligence
AAAI'04 Proceedings of the 19th national conference on Artifical intelligence
Computational complexity of weighted threshold games
AAAI'07 Proceedings of the 22nd national conference on Artificial intelligence - Volume 1
On the dimensionality of voting games
AAAI'08 Proceedings of the 23rd national conference on Artificial intelligence - Volume 1
Task allocation via coalition formation among autonomous agents
IJCAI'95 Proceedings of the 14th international joint conference on Artificial intelligence - Volume 1
Methods for task allocation via agent coalition formation
Artificial Intelligence
Complexity of constructing solutions in the core based on synergies among coalitions
Artificial Intelligence
Non-transferable utility coalitional games via mixed-integer linear constraints
Journal of Artificial Intelligence Research
Cooperative games with overlapping coalitions
Journal of Artificial Intelligence Research
On the complexity of core, kernel, and bargaining set
Artificial Intelligence
Computing stable outcomes in hedonic games with voting-based deviations
The 10th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
Computations on simple games using RelView
CASC'11 Proceedings of the 13th international conference on Computer algebra in scientific computing
Coalitional voting manipulation: a game-theoretic perspective
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume One
On the complexity of the core over coalition structures
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume One
Complementary cooperation, minimal winning coalitions, and power indices
Theoretical Computer Science
Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
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Coalitional games provide a useful tool for modeling cooperation in multiagent systems. An important special class of coalitional games is weighted voting games, in which each player has a weight (intuitively corresponding to its contribution), and a coalition is successful if the sum of its members' weights meets or exceeds a given threshold. A key question in coalitional games is finding coalitions and payoff division schemes that are stable, i.e., no group of players has any rational incentive to leave. In this paper, we investigate the computational complexity of stability-related questions for weighted voting games. We study problems involving the core, the least core, and the nucleolus, distinguishing those that are polynomial-time computable from those that are NP-hard or coNP-hard, and providing pseudopolynomial and approximation algorithms for some of the computationally hard problems.