Mechanisms for scheduling with single-bit private values

  • Authors:
  • Vincenzo Auletta;George Christodoulou;Paolo Penna

  • Affiliations:
  • Dipartimento di Informatica, Università di Salerno, Italy;Computer Science Department, University of Liverpool, United Kingdom;Dipartimento di Informatica, Università di Salerno, Italy

  • Venue:
  • SAGT'12 Proceedings of the 5th international conference on Algorithmic Game Theory
  • Year:
  • 2012

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Abstract

We consider randomized mechanisms for multi-dimensional scheduling. Following Lavi and Swamy [10], we study a setting with restrictions on the domain, while still preserving multi-dimensionality. In a sense, our setting is the simplest multi-dimensional setting, where each machine holds privately only a single-bit of information. We prove a separation between truthful-in-expectation and universally truthful mechanisms for makespan minimization: We first show how to design an optimal truthful-in-expectation mechanism, and then prove lower bounds on the approximation guarantee of universally truthful mechanisms.