Limitations of cross-monotonic cost sharing schemes
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
Overlapping coalition formation for efficient data fusion in multi-sensor networks
AAAI'06 Proceedings of the 21st national conference on Artificial intelligence - Volume 1
The Cost of Stability in Network Flow Games
MFCS '09 Proceedings of the 34th International Symposium on Mathematical Foundations of Computer Science 2009
Infeasibility certificates and the complexity of the core in coalitional games
IJCAI'07 Proceedings of the 20th international joint conference on Artifical intelligence
Complexity of constructing solutions in the core based on synergies among coalitions
Artificial Intelligence
The Cost of Stability in Coalitional Games
SAGT '09 Proceedings of the 2nd International Symposium on Algorithmic Game Theory
Strategyproof cost-sharing mechanisms for set cover and facility location games
Decision Support Systems - Special issue: The fourth ACM conference on electronic commerce
Monotone cooperative games and their threshold versions
Proceedings of the 9th International Conference on Autonomous Agents and Multiagent Systems: volume 1 - Volume 1
Minimal subsidies in expense sharing games
SAGT'10 Proceedings of the Third international conference on Algorithmic game theory
Research proposal: cooperation among self interested agents
IJCAI'11 Proceedings of the Twenty-Second international joint conference on Artificial Intelligence - Volume Volume Three
Stability scores: measuring coalitional stability
Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
Coalitional stability in structured environments
Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
Overlapping coalition formation games: charting the tractability frontier
Proceedings of the 11th International Conference on Autonomous Agents and Multiagent Systems - Volume 2
Proof systems and transformation games
Annals of Mathematics and Artificial Intelligence
Taxation and stability in cooperative games
Proceedings of the 2013 international conference on Autonomous agents and multi-agent systems
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Cooperation among automated agents is becoming increasingly important in various artificial intelligence applications. Coalitional (i.e., cooperative) game theory supplies conceptual and mathematical tools useful in the analysis of such interactions, and in particular in the achievement of stable outcomes among self-interested agents. Here, we study the minimal external subsidy required to stabilize the core of a coalitional game. Following the Cost of Stability (CoS) model introduced by Bachrach et al. [2009a], we give tight bounds on the required subsidy under various restrictions on the social structure of the game. We then compare the extended core induced by subsidies with the least core of the game, proving tight bounds on the ratio between the minimal subsidy and the minimal demand relaxation that each lead to stability.