When Trees Collide: An Approximation Algorithm for theGeneralized Steiner Problem on Networks
SIAM Journal on Computing
A General Approximation Technique for Constrained Forest Problems
SIAM Journal on Computing
Applications of approximation algorithms to cooperative games
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Equitable cost allocations via primal-dual-type algorithms
STOC '02 Proceedings of the thiry-fourth annual ACM symposium on Theory of computing
Sharing the cost of multicast transmissions
Journal of Computer and System Sciences - Special issue on Internet algorithms
A tight bound on approximating arbitrary metrics by tree metrics
Proceedings of the thirty-fifth annual ACM symposium on Theory of computing
Probabilistic approximation of metric spaces and its algorithmic applications
FOCS '96 Proceedings of the 37th Annual Symposium on Foundations of Computer Science
Hardness results for multicast cost sharing
Theoretical Computer Science
Group Strategyproof Mechanisms via Primal-Dual Algorithms
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Cross-monotonic cost-sharing methods for connected facility location games
EC '04 Proceedings of the 5th ACM conference on Electronic commerce
Limitations of cross-monotonic cost sharing schemes
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
A group-strategyproof mechanism for Steiner forests
SODA '05 Proceedings of the sixteenth annual ACM-SIAM symposium on Discrete algorithms
New trade-offs in cost-sharing mechanisms
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
From primal-dual to cost shares and back: a stronger LP relaxation for the steiner forest problem
ICALP'05 Proceedings of the 32nd international conference on Automata, Languages and Programming
An efficient cost-sharing mechanism for the prize-collecting Steiner forest problem
SODA '07 Proceedings of the eighteenth annual ACM-SIAM symposium on Discrete algorithms
Group-strategyproof cost sharing mechanisms for makespan and other scheduling problems
Theoretical Computer Science
Optimal Efficiency Guarantees for Network Design Mechanisms
IPCO '07 Proceedings of the 12th international conference on Integer Programming and Combinatorial Optimization
Singleton Acyclic Mechanisms and Their Applications to Scheduling Problems
SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
Group-Strategyproof Cost Sharing for Metric Fault Tolerant Facility Location
SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
Quantifying inefficiency in cost-sharing mechanisms
Journal of the ACM (JACM)
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
Correlation robust stochastic optimization
SODA '10 Proceedings of the twenty-first annual ACM-SIAM symposium on Discrete Algorithms
Black-box reductions for cost-sharing mechanism design
Proceedings of the twenty-third annual ACM-SIAM symposium on Discrete Algorithms
Improved bounds on the price of stability in network cost sharing games
Proceedings of the fourteenth ACM conference on Electronic commerce
Cost-recovering bayesian algorithmic mechanism design
Proceedings of the fourteenth ACM conference on Electronic commerce
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Könemann, Leonardi, and Schäfer [14] gave a 2-budget-balanced and groupstrategyproof mechanism for Steiner forest cost-sharing problems. We prove that this mechanism also achieves an O(log2k)-approximation of the social cost, where k is the number of players. As a consequence, the KLS mechanism has the smallest-possible worst-case efficiency loss, up to constant factors, among all O(1)-budget-balanced Moulin mechanisms for such cost functions. We also extend our results to a more general network design problem.