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Truthful Mechanisms for OneParameter Agents Aaron Archer \Lambda

Summary: Truthful Mechanisms for One­Parameter Agents
Aaron Archer \Lambda ’
Eva Tardos y
In this paper, we show how to design truthful (dominant
strategy) mechanisms for several combinatorial problems
where each agent's secret data is naturally expressed by a
single positive real number. The goal of the mechanisms
we consider is to allocate loads placed on the agents, and
an agent's secret data is the cost she incurs per unit load.
We give an exact characterization for the algorithms that
can be used to design truthful mechanisms for such load
balancing problems using appropriate side payments.
We use our characterization to design polynomial time
truthful mechanisms for several problems in combinato­
rial optimization to which the celebrated VCG mechanism
does not apply. For scheduling related parallel machines
(QjjC max ), we give a 3­approximation mechanism based
on randomized rounding of the optimal fractional solution.
This problem is NP­complete, and the standard approxima­


Source: Archer, Aaron - Algorithms and Optimization Group, AT&T Labs-Research
Chen, Yiling - School of Engineering and Applied Sciences, Harvard University


Collections: Computer Technologies and Information Sciences