Symbolic Boolean manipulation with ordered binary-decision diagrams
ACM Computing Surveys (CSUR)
Algebric Decision Diagrams and Their Applications
Formal Methods in System Design
Marginal contribution nets: a compact representation scheme for coalitional games
Proceedings of the 6th ACM conference on Electronic commerce
The Cost of Stability in Coalitional Games
SAGT '09 Proceedings of the 2nd International Symposium on Algorithmic Game Theory
PRIMA'11 Proceedings of the 14th international conference on Agents in Principle, Agents in Practice
Efficient computation of the shapley value for game-theoretic network centrality
Journal of Artificial Intelligence Research
Coalitional games via network flows
IJCAI'13 Proceedings of the Twenty-Third international joint conference on Artificial Intelligence
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With the advent of algorithmic coalitional game theory, it is important to design coalitional game representation schemes that are both compact and efficient with respect to solution concept computation. To this end, we propose a new representation for coalitional games, which is based on Algebraic Decision Diagrams (ADDs). Our representation is fully expressive, compact for many games of practical interest, and enables polynomial time Banzhaf Index, Shapley Value and core computation.