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Reordering an existing queue

  • Youngsub Chun
  • Manipushpak Mitra
  • Suresh Mutuswami

We investigate the problem of reordering agents starting from an existing queue. First, we introduce four important axioms of the problem, budget balance (BB), outcome efficiency (OE), strategyproofness (SP), and individual rationality (IR). Unfortunately, it is easy to show that these four axioms are incompatible in the current setup. Given this negative result, we examine the consequences of relaxing BB, OE and SP, one at a time. Our results are as follows: (i) There is no mechanism satisfying OE, SP and IR which runs a nonnegative surplus at all profiles. (ii) When there are two agents, the only non-trivial mechanisms satisfying BB, SP and IR are Fixed price trading mechanisms but there are additional mechanisms when there are more than two agents. We identify an intuitive mechanism which we call the median price exchange mechanism and characterize its maximal level of inefficiency. (iii) By weakening SP to `one-sided' strategyproofness, we identify two mechanisms, the buyers' mechanism and the sellers' mech- anism, and characterize them on the basis of independence axioms.

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Paper provided by Department of Economics, University of Leicester in its series Discussion Papers in Economics with number 13/15.

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Date of creation: Jul 2013
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Handle: RePEc:lec:leecon:13/15
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  1. MANIQUET, François, . "A characterization of the Shapley value in queueing problems," CORE Discussion Papers RP -1662, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  2. Chun, Youngsub, 2006. "A pessimistic approach to the queueing problem," Mathematical Social Sciences, Elsevier, vol. 51(2), pages 171-181, March.
  3. Manipushpak Mitra, 2001. "Mechanism design in queueing problems," Economic Theory, Springer, vol. 17(2), pages 277-305.
  4. Manipushpak Mitra & Suresh Mutuswami, 2006. "Group Strategyproofness in Queueing Models," Economics Discussion Papers 610, University of Essex, Department of Economics.
  5. Alex Gershkov & Paul Schweinzer, 2010. "When queueing is better than push and shove," International Journal of Game Theory, Springer, vol. 39(3), pages 409-430, July.
  6. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2014. "Egalitarian equivalence and strategyproofness in the queueing problem," Economic Theory, Springer, vol. 56(2), pages 425-442, June.
  7. Curiel, I. & Pederzoli, G. & Tijs, S.H., 1989. "Sequencing games," Other publications TiSEM cd695be5-0f54-4548-a952-2, Tilburg University, School of Economics and Management.
  8. KayI, Çagatay & Ramaekers, Eve, 2010. "Characterizations of Pareto-efficient, fair, and strategy-proof allocation rules in queueing problems," Games and Economic Behavior, Elsevier, vol. 68(1), pages 220-232, January.
  9. Dirk Bergemann & Stephen Morris, 2005. "Robust Mechanism Design," Econometrica, Econometric Society, vol. 73(6), pages 1771-1813, November.
  10. repec:ner:tilbur:urn:nbn:nl:ui:12-154243 is not listed on IDEAS
  11. Curiel, Imma & Pederzoli, Giorgio & Tijs, Stef, 1989. "Sequencing games," European Journal of Operational Research, Elsevier, vol. 40(3), pages 344-351, June.
  12. H. Moulin, 1980. "On strategy-proofness and single peakedness," Public Choice, Springer, vol. 35(4), pages 437-455, January.
  13. Goswami, Mridu Prabal & Sen, Arunava & Mitra, Manipushpak, 2014. "Strategy-proofness and Pareto-efficiency in quasi-linear exchange economies," Theoretical Economics, Econometric Society, vol. 9(2), May.
  14. Naor, P, 1969. "The Regulation of Queue Size by Levying Tolls," Econometrica, Econometric Society, vol. 37(1), pages 15-24, January.
  15. Barbera, Salvador & Jackson, Matthew O, 1995. "Strategy-Proof Exchange," Econometrica, Econometric Society, vol. 63(1), pages 51-87, January.
  16. Groves, Theodore, 1973. "Incentives in Teams," Econometrica, Econometric Society, vol. 41(4), pages 617-31, July.
  17. Youngsub Chun, 2006. "No-envy in queueing problems," Economic Theory, Springer, vol. 29(1), pages 151-162, September.
  18. Moulin, H., 1986. "Characterizations of the pivotal mechanism," Journal of Public Economics, Elsevier, vol. 31(1), pages 53-78, October.
  19. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, 03.
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