Truthful Approximation Schemes for Single-Parameter Agents

  • Authors:
  • Peerapong Dhangwatnotai;Shahar Dobzinski;Shaddin Dughmi;Tim Roughgarden

  • Affiliations:
  • -;-;-;-

  • Venue:
  • FOCS '08 Proceedings of the 2008 49th Annual IEEE Symposium on Foundations of Computer Science
  • Year:
  • 2008

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Abstract

We present the first monotone randomized polynomial-time approximation scheme (PTAS) for minimizing the makespan of parallel related machines (Q| |C_max), the paradigmatic problem in single-parameter algorithmic mechanism design. This result immediately gives a polynomial-time, truthful (in expectation) mechanism whose approximation guarantee attains the best-possible one for all polynomial-time algorithms (assuming P not equal to NP). Our algorithmic techniques are flexible and also yield, among other results, a monotone deterministic quasi-PTAS for Q| |C_max and a monotone randomized PTAS for max-min scheduling on related machines.