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Incentives and justice for sequencing problems

Author

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  • Parikshit De

    (Indian Statistical Institute)

  • Manipushpak Mitra

    (Indian Statistical Institute)

Abstract

We address the mechanism design issue for the sequencing problem. We identify the just sequencing rule that serves the agents in the non-increasing order of their waiting costs and prove that it is a Rawlsian rule and that it weakly lexi-max cost dominates the outcome efficient sequencing rule. We identify all ICJ mechanisms that implement the just sequencing rule. The other properties of the just sequencing rule that we identify are the following. It can be implemented with budget-balanced ICJ mechanisms. When waiting cost and processing time are private information, we identify all generalized ICJ mechanisms that ex-post implement the just sequencing rule. Finally, we identify all budget-balanced generalized ICJ mechanisms.

Suggested Citation

  • Parikshit De & Manipushpak Mitra, 2017. "Incentives and justice for sequencing problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 64(2), pages 239-264, August.
  • Handle: RePEc:spr:joecth:v:64:y:2017:i:2:d:10.1007_s00199-016-0983-2
    DOI: 10.1007/s00199-016-0983-2
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    Cited by:

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    2. Banerjee, Sreoshi, 2023. "Stability and fairness in sequencing games: optimistic approach and pessimistic scenarios," MPRA Paper 118680, University Library of Munich, Germany.
    3. 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.
    4. Rietmann, Nele, 2019. "Elektromobilität: Was treibt Konsumenten zum Kauf?," Marketing Review St.Gallen, Universität St.Gallen, Institut für Marketing und Customer Insight, vol. 36(3), pages 12-21.
    5. Banerjee, Sreoshi & De, Parikshit & Mitra, Manipushpak, 2020. "A welfarist approach to sequencing problems with incentives," MPRA Paper 107188, University Library of Munich, Germany.
    6. Youngsub Chun & Manipushpak Mitra & Suresh Mutuswami, 2023. "Balanced VCG mechanisms for sequencing problems," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 60(1), pages 35-46, January.
    7. Dominik Kress & Sebastian Meiswinkel & Erwin Pesch, 2018. "Mechanism design for machine scheduling problems: classification and literature overview," OR Spectrum: Quantitative Approaches in Management, Springer;Gesellschaft für Operations Research e.V., vol. 40(3), pages 583-611, July.
    8. Banerjee, Sreoshi, 2024. "On identifying efficient, fair and stable allocations in "generalized" sequencing games," MPRA Paper 120188, University Library of Munich, Germany.

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    More about this item

    Keywords

    Sequencing; Implementation; Outcome efficient sequencing rule; Just sequencing rule; Budget balance; Ex-post implementation;
    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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