Probabilistic construction of deterministic algorithms: approximating packing integer programs
Journal of Computer and System Sciences - 27th IEEE Conference on Foundations of Computer Science October 27-29, 1986
Truth revelation in approximately efficient combinatorial auctions
Journal of the ACM (JACM)
Random Structures & Algorithms - Probabilistic methods in combinatorial optimization
An approximate truthful mechanism for combinatorial auctions with single parameter agents
SODA '03 Proceedings of the fourteenth annual ACM-SIAM symposium on Discrete algorithms
The Communication Complexity of Approximate Set Packing and Covering
ICALP '02 Proceedings of the 29th International Colloquium on Automata, Languages and Programming
Approximately-strategyproof and tractable multi-unit auctions
Proceedings of the 4th ACM conference on Electronic commerce
Incentive compatible multi unit combinatorial auctions
Proceedings of the 9th conference on Theoretical aspects of rationality and knowledge
Truthful Mechanisms for One-Parameter Agents
FOCS '01 Proceedings of the 42nd IEEE symposium on Foundations of Computer Science
Towards a Characterization of Truthful Combinatorial Auctions
FOCS '03 Proceedings of the 44th Annual IEEE Symposium on Foundations of Computer Science
Computational criticisms of the revelation principle
EC '04 Proceedings of the 5th ACM conference on Electronic commerce
Approximation techniques for utilitarian mechanism design
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Multicommodity flow, well-linked terminals, and routing problems
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
Approximation algorithms for combinatorial auctions with complement-free bidders
Proceedings of the thirty-seventh annual ACM symposium on Theory of computing
On the computational power of iterative auctions
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
Truthful randomized mechanisms for combinatorial auctions
Proceedings of the thirty-eighth annual ACM symposium on Theory of computing
Stochastic packing-market planning
Proceedings of the 8th ACM conference on Electronic commerce
Mechanisms for multi-unit auctions
Proceedings of the 8th ACM conference on Electronic commerce
Two Randomized Mechanisms for Combinatorial Auctions
APPROX '07/RANDOM '07 Proceedings of the 10th International Workshop on Approximation and the 11th International Workshop on Randomization, and Combinatorial Optimization. Algorithms and Techniques
Single-value combinatorial auctions and algorithmic implementation in undominated strategies
Journal of the ACM (JACM)
Truthful assignment without money
Proceedings of the 11th ACM conference on Electronic commerce
Approximation algorithms for non-single-minded profit-maximization problems with limited supply
WINE'10 Proceedings of the 6th international conference on Internet and network economics
Approximation algorithms for secondary spectrum auctions
Proceedings of the twenty-third annual ACM symposium on Parallelism in algorithms and architectures
Truthful mechanism design for multidimensional covering problems
WINE'12 Proceedings of the 8th international conference on Internet and Network Economics
Truthfulness and stochastic dominance with monetary transfers
Proceedings of the fourteenth ACM conference on Electronic commerce
Hi-index | 0.00 |
We give a general technique to obtain approximation mechanisms that are truthful in expectation. We show that for packing domains, any α-approximation algorithm that also bounds the integrality gap of the LP relaxation of the problem by α can be used to construct an α-approximation mechanism that is truthful in expectation. This immediately yields a variety of new and significantly improved results for various problem domains and furthermore, yields truthful (in expectation) mechanisms with guarantees that match the best-known approximation guarantees when truthfulness is not required. In particular, we obtain the first truthful mechanisms with approximation guarantees for a variety of multiparameter domains. We obtain truthful (in expectation) mechanisms achieving approximation guarantees of O(√m) for combinatorial auctions (CAs), (1 + ε) for multiunit CAs with B = Ω(log m) copies of each item, and 2 for multiparameter knapsack problems (multi-unit auctions). Our construction is based on considering an LP relaxation of the problem and using the classic VCG mechanism to obtain a truthful mechanism in this fractional domain. We argue that the (fractional) optimal solution scaled down by α, where α is the integrality gap of the problem, can be represented as a convex combination of integer solutions, and by viewing this convex combination as specifying a probability distribution over integer solutions, we get a randomized, truthful in expectation mechanism. Our construction can be seen as a way of exploiting VCG in a computational tractable way even when the underlying social-welfare maximization problem is NP-hard.