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Scheduling with Opting Out: Improving upon Random Priority

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Author Info
Moulin, Herve (Rice U)
Cres, Moulin (HEC School of Management)

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Abstract

In a scheduling problem where agents can opt out, we show that the familiar Random Priority (RP) a rule can be improved upon by another mechanism dubbed Probabilistic Serial (PS). Both mechanisms are nonmanipulable in a strong sense, but the latter is Pareto superior to the former and serves a larger (expected number of agents. The PS equilibrium outcome is easier to compute than the RP outcome; on the other hand RP is easier to implement than PS. We show that the improvement of PS over RP is significant but small: at most a couple of percentage points in the relative welfare gain and the relative difference in quantity served. We conjecture that the latter never exceeds 8.33 %. Both gains vanish when the number of agents is large.

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Paper provided by Rice University, Department of Economics in its series Working Papers with number 2000-03.

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Date of creation: Feb 2000
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Handle: RePEc:ecl:riceco:2000-03

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  1. Barbera, S., 1995. "Notes on a Strategy-Proof Social Choice Functions," UFAE and IAE Working Papers 292.95, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
  2. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January. [Downloadable!] (restricted)
  3. Bogomolnaia, Anna & Moulin, Herve, 2001. "A New Solution to the Random Assignment Problem," Journal of Economic Theory, Elsevier, vol. 100(2), pages 295-328, October. [Downloadable!] (restricted)
  4. Jeroen Suijs, 1996. "On incentive compatibility and budget balancedness in public decision making," Review of Economic Design, Springer, vol. 2(1), pages 193-209, December. [Downloadable!] (restricted)
  5. Hylland, Aanund & Zeckhauser, Richard, 1979. "The Efficient Allocation of Individuals to Positions," Journal of Political Economy, University of Chicago Press, vol. 87(2), pages 293-314, April. [Downloadable!] (restricted)
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Cited by:
(explanations, Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.)

  1. Alvin E. Roth & Tayfun Sönmez & M. Utku Ünver, 2004. "Pairwise Kidney Exchange," Game Theory and Information 0408001, EconWPA, revised 16 Feb 2005. [Downloadable!]
    Other versions:
  2. Yeon-Koo Che & Fuhito Kojima, 2008. "Asymptotic Equivalence of Probabilistic Serial and Random Priority Mechanisms," Cowles Foundation Discussion Papers 1677, Cowles Foundation, Yale University. [Downloadable!]
    Other versions:
  3. Ruben Juarez, 2008. "The worst absolute surplus loss in the problem of commons: random priority versus average cost," Economic Theory, Springer, vol. 34(1), pages 69-84, January. [Downloadable!] (restricted)
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