Efficient Truthful Scheduling and Resource Allocation through Monitoring

Authors

  • Dimitris Fotakis National Technical University of Athens
  • Piotr Krysta University of Liverpool
  • Carmine Ventre King's College London

Keywords:

Mechanism Design

Abstract

We study the power and limitations of the Vickrey-Clarke-Groves mechanism with monitoring (VCGmon) for cost minimization problems with objective functions that are more general than the social cost. We identify a simple and natural sufficient condition for VCGmon to be truthful for general objectives. As a consequence, we obtain that for any cost minimization problem with non-decreasing objective μ, VCGmon is truthful, if the allocation is Maximal-in-Range and μ is 1-Lipschitz (e.g., μ can be the Lp-norm of the agents’ costs, for any p ≥ 1 or p = ∞). We apply VCGmon to scheduling on restricted-related machines and obtain a polynomial-time truthful-in-expectation 2-approximate (resp. O(1)-approximate) mechanism for makespan (resp. Lp- norm) minimization. Moreover, applying VCGmon, we obtain polynomial-time truthful O(1)-approximate mechanisms for some fundamental bottleneck network optimization problems with single-parameter agents. On the negative side, we provide strong evidence that VCGmon could not lead to computationally efficient truthful mechanisms with reasonable approximation ratios for binary covering social cost minimization problems. However, we show that VCGmon results in computationally efficient approximately truthful mechanisms for binary covering problems.

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Published

2021-05-18

How to Cite

Fotakis, D., Krysta, P., & Ventre, C. (2021). Efficient Truthful Scheduling and Resource Allocation through Monitoring. Proceedings of the AAAI Conference on Artificial Intelligence, 35(6), 5423-5431. Retrieved from https://ojs.aaai.org/index.php/AAAI/article/view/16683

Issue

Section

AAAI Technical Track on Game Theory and Economic Paradigms