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Reordering an existing queue

Author

Listed:
  • Youngsub Chun
  • Manipushpak Mitra
  • Suresh Mutuswami

Abstract

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.

Suggested Citation

  • Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2013. "Reordering an existing queue," Discussion Papers in Economics 13/15, Division of Economics, School of Business, University of Leicester.
    • Handle: RePEc:lec:leecon:13/15
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    Cited by:

    1. Sambuddha Ghosh & Yan Long & Manipushpak Mitra, 2021. "Prior-free online mechanisms for queueing with arrivals," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 72(2), pages 671-700, September.
    2. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    3. Banerjee, Sreoshi, 2024. "On identifying efficient, fair and stable allocations in "generalized" sequencing games," MPRA Paper 120188, University Library of Munich, Germany.
    4. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2019. "Recent developments in the queueing problem," TOP: An Official Journal of the Spanish Society of Statistics and Operations Research, Springer;Sociedad de Estadística e Investigación Operativa, vol. 27(1), pages 1-23, April.
    5. Sreoshi Banerjee & Parikshit De & Manipushpak Mitra, 2024. "Generalized welfare lower bounds and strategyproofness in sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 63(2), pages 323-357, September.
    6. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.

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    More about this item

    Keywords

    Queueing problem with an initial order; budget balance; outcome efficiency; strateyproofness; individual rationality;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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