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Summary: An Approximate Truthful Mechanism for Combinatorial Auctions
with Single Parameter Agents
Aaron Archer # Christos Papadimitriou + Kunal Talwar # ’
Eva Tardos §
Abstract
Mechanism design seeks algorithms whose inputs are pro
vided by selfish agents who would lie if advantageous. In
centive compatible mechanisms compel the agents to tell
the truth by making it in their selfinterest to do so. Often,
as in combinatorial auctions, such mechanisms involve
the solution of NPhard problems. Unfortunately, approx
imation algorithms typically destroy incentive compatibil
ity. Randomized rounding is a commonly used technique
for designing approximation algorithms. We devise a ver
sion of randomized rounding that is incentive compatible,
giving a truthful mechanism for combinatorial auctions
with single parameter agents (e.g., ``single minded bid
ders'') that approximately maximizes the social value of
the auction. We discuss two orthogonal notions of truth
fulness for a randomized mechanism, truthfulness with
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