A General Approximation Technique for Constrained Forest Problems
SIAM Journal on Computing
Algorithms for facility location problems with outliers
SODA '01 Proceedings of the twelfth annual ACM-SIAM symposium on Discrete algorithms
Applications of approximation algorithms to cooperative games
STOC '01 Proceedings of the thirty-third annual ACM symposium on Theory of computing
Provisioning a virtual private network: a network design problem for multicommodity flow
STOC '01 Proceedings of the thirty-third 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 Constant-Factor Approximation Algorithm for the Multicommodity
FOCS '02 Proceedings of the 43rd Symposium on Foundations of Computer Science
Truthful Mechanisms for One-Parameter Agents
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of 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
Theoretical Computer Science
Weak monotonicity suffices for truthfulness on convex domains
Proceedings of the 6th ACM conference on Electronic commerce
Truthful and Near-Optimal Mechanism Design via Linear Programming
FOCS '05 Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science
Approximation Algorithms for Metric Facility Location Problems
SIAM Journal on Computing
Iterative rounding 2-approximation algorithms for minimum-cost vertex connectivity problems
Journal of Computer and System Sciences - Special issue on FOCS 2001
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
Cost-Sharing Mechanisms for Network Design
Algorithmica
A Group-Strategyproof Cost Sharing Mechanism for the Steiner Forest Game
SIAM Journal on Computing
Limitations of cross-monotonic cost-sharing schemes
ACM Transactions on Algorithms (TALG)
Network design for vertex connectivity
STOC '08 Proceedings of the fortieth annual ACM symposium on Theory of computing
New efficiency results for makespan cost sharing
Information Processing Letters
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
Is Shapley Cost Sharing Optimal?
SAGT '08 Proceedings of the 1st International Symposium on Algorithmic Game Theory
Quantifying inefficiency in cost-sharing mechanisms
Journal of the ACM (JACM)
Fair cost-sharing methods for scheduling jobs on parallel machines
Journal of Discrete Algorithms
The Power of Preemption on Unrelated Machines and Applications to Scheduling Orders
APPROX '09 / RANDOM '09 Proceedings of the 12th International Workshop and 13th International Workshop on Approximation, Randomization, and Combinatorial Optimization. Algorithms and Techniques
Strategyproof cost-sharing mechanisms for set cover and facility location games
Decision Support Systems - Special issue: The fourth ACM conference on electronic commerce
An O(k^3 log n)-Approximation Algorithm for Vertex-Connectivity Survivable Network Design
FOCS '09 Proceedings of the 2009 50th Annual IEEE Symposium on Foundations of Computer Science
Cost sharing methods for makespan and completion time scheduling
STACS'07 Proceedings of the 24th annual conference on Theoretical aspects of computer science
WINE'07 Proceedings of the 3rd international conference on Internet and network economics
Bayesian algorithmic mechanism design
Proceedings of the forty-second ACM symposium on Theory of computing
An Optimal Bifactor Approximation Algorithm for the Metric Uncapacitated Facility Location Problem
SIAM Journal on Computing
Black-Box Randomized Reductions in Algorithmic Mechanism Design
FOCS '10 Proceedings of the 2010 IEEE 51st Annual Symposium on Foundations of Computer Science
Black-box reductions in mechanism design
APPROX'11/RANDOM'11 Proceedings of the 14th international workshop and 15th international conference on Approximation, randomization, and combinatorial optimization: algorithms and techniques
Optimal cost-sharing mechanisms for steiner forest problems
WINE'06 Proceedings of the Second international conference on Internet and Network Economics
Bayesian incentive compatibility via fractional assignments
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Bayesian incentive compatibility via matchings
Proceedings of the twenty-second annual ACM-SIAM symposium on Discrete Algorithms
Cost-recovering bayesian algorithmic mechanism design
Proceedings of the fourteenth ACM conference on Electronic commerce
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We consider the design of strategyproof cost-sharing mechanisms. We give two simple, but extremely versatile, black-box reductions, that in combination reduce the cost-sharing mechanism-design problem to the algorithmic problem of finding a minimum-cost solution for a set of players. Our first reduction shows that any truthful, α-approximation mechanism for the social-cost minimization (SCM) problem satisfying a technical no-bossiness condition can be morphed into a truthful mechanism that achieves an O(α log n)-approximation where the prices recover the cost incurred. Thus, we decouple the task of truthfully computing an outcome with near-optimal social cost from the cost-sharing problem. This is fruitful since truthful mechanism-design, especially for single-dimensional problems, is a relatively well-understood and manageable task. Our second reduction nicely complements the first one by showing that any LP-based ρ-approximation for the problem of finding a min-cost solution for a set of players yields a truthful, no-bossy, (ρ + 1)-approximation for the SCM problem (and hence, a truthful (ρ + 1)log n-approximation cost-sharing mechanism). These reductions find a slew of applications, yielding, as corollaries, the first or improved polytime cost-sharing mechanisms for a variety of problems. For example, our first reduction coupled with the celebrated VCG mechanism shows that for any cost-sharing problem (with a monotone cost function) one can obtain a truthful mechanism that achieves an O(log n)-approximation where the prices recover the cost incurred. Other applications include O(log n)-approximation mechanisms for: survivable network design problems, facility location (FL) problems including capacitated and connected FL problems, and minimum-makespan scheduling on unrelated machines. Our results demonstrate that in contrast with our current understanding of group-strategyproof and acyclic mechanisms, strategyproofness allows for ample flexibility in cost-sharing mechanism design enabling one to effectively leverage various algorithmic results.