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Decentralized Task Coordination

Author

Listed:
  • Jens Gudmundsson

    (Department of Food and Resource Economics, University of Copenhagen)

  • Jens Leth Hougaard

    (NYU-Shanghai, China
    Department of Food and Resource Economics, University of Copenhagen)

  • Trine Tornøe Platz

    (Department of Food and Resource Economics, University of Copenhagen)

Abstract

We study decentralized task coordination. Tasks are of varying complexity and agents asymmetric: agents capable of completing high-level tasks may also take on tasks originally contracted by lower-level agents, facilitating system-wide cost reductions. We suggest a family of decentralized two-stage mechanisms in which agents first announce preferred individual workloads and then bargain over the induced joint cost savings. The second-stage negotiations depend on the first-stage announcements as specified through the mechanism's recognition function. We characterize mechanisms that incentivize cost-effective task allocation and further single out a particular mechanism, which additionally ensures a fair distribution of the system-wide cost savings.

Suggested Citation

  • Jens Gudmundsson & Jens Leth Hougaard & Trine Tornøe Platz, 2020. "Decentralized Task Coordination," IFRO Working Paper 2020/11, University of Copenhagen, Department of Food and Resource Economics.
  • Handle: RePEc:foi:wpaper:2020_11
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    1. Brunnermeier, Markus & Abadi, Joseph, 2018. "Blockchain Economics," CEPR Discussion Papers 13420, C.E.P.R. Discussion Papers.
    2. Bahel, Eric & Trudeau, Christian, 2019. "Stability and fairness in the job scheduling problem," Games and Economic Behavior, Elsevier, vol. 117(C), pages 1-14.
    3. Hervé Moulin, 2007. "On Scheduling Fees to Prevent Merging, Splitting, and Transferring of Jobs," Mathematics of Operations Research, INFORMS, vol. 32(2), pages 266-283, May.
    4. M. Remzi Sanver & William Zwicker & Hervé Moulin & Jean-François Laslier, 2019. "The Future of Economic Design," Post-Print hal-02517300, HAL.
    5. Baron, David P. & Ferejohn, John A., 1989. "Bargaining in Legislatures," American Political Science Review, Cambridge University Press, vol. 83(4), pages 1181-1206, December.
    6. Ken Binmore & Ariel Rubinstein & Asher Wolinsky, 1986. "The Nash Bargaining Solution in Economic Modelling," RAND Journal of Economics, The RAND Corporation, vol. 17(2), pages 176-188, Summer.
    7. Xing Hu & René Caldentey & Gustavo Vulcano, 2013. "Revenue Sharing in Airline Alliances," Management Science, INFORMS, vol. 59(5), pages 1177-1195, May.
    8. Mohit Tawarmalani & Karthik Kannan & Prabuddha De, 2009. "Allocating Objects in a Network of Caches: Centralized and Decentralized Analyses," Management Science, INFORMS, vol. 55(1), pages 132-147, January.
    9. Bengt Holmstrom, 1982. "Moral Hazard in Teams," Bell Journal of Economics, The RAND Corporation, vol. 13(2), pages 324-340, Autumn.
    10. Yan Chen & Peter Cramton & John A. List & Axel Ockenfels, 2021. "Market Design, Human Behavior, and Management," Management Science, INFORMS, vol. 67(9), pages 5317-5348, September.
    11. Eraslan, Hülya & McLennan, Andrew, 2013. "Uniqueness of stationary equilibrium payoffs in coalitional bargaining," Journal of Economic Theory, Elsevier, vol. 148(6), pages 2195-2222.
    12. Andreas Ernst & Houyuan Jiang & Mohan Krishnamoorthy, 2006. "Exact Solutions to Task Allocation Problems," Management Science, INFORMS, vol. 52(10), pages 1634-1646, October.
    13. Agnetis, Alessandro & Chen, Bo & Nicosia, Gaia & Pacifici, Andrea, 2019. "Price of fairness in two-agent single-machine scheduling problems," European Journal of Operational Research, Elsevier, vol. 276(1), pages 79-87.
    14. Argyris, Nikolaos & Karsu, Özlem & Yavuz, Mirel, 2022. "Fair resource allocation: Using welfare-based dominance constraints," European Journal of Operational Research, Elsevier, vol. 297(2), pages 560-578.
    15. William Thomson, 2011. "Consistency and its converse: an introduction," Review of Economic Design, Springer;Society for Economic Design, vol. 15(4), pages 257-291, December.
    16. Ahmadian, Mohammad Mahdi & Khatami, Mostafa & Salehipour, Amir & Cheng, T.C.E., 2021. "Four decades of research on the open-shop scheduling problem to minimize the makespan," European Journal of Operational Research, Elsevier, vol. 295(2), pages 399-426.
    17. Homberger, Jörg & Fink, Andreas, 2017. "Generic negotiation mechanisms with side payments – Design, analysis and application for decentralized resource-constrained multi-project scheduling problems," European Journal of Operational Research, Elsevier, vol. 261(3), pages 1001-1012.
    18. Maskin, Eric & Sjostrom, Tomas, 2002. "Implementation theory," Handbook of Social Choice and Welfare, in: K. J. Arrow & A. K. Sen & K. Suzumura (ed.), Handbook of Social Choice and Welfare, edition 1, volume 1, chapter 5, pages 237-288, Elsevier.
    19. Lang, Fabian & Fink, Andreas & Brandt, Tobias, 2016. "Design of automated negotiation mechanisms for decentralized heterogeneous machine scheduling," European Journal of Operational Research, Elsevier, vol. 248(1), pages 192-203.
    20. Gudmundsson, Jens & Hougaard, Jens Leth & Ko, Chiu Yu, 2019. "Decentralized mechanisms for river sharing," Journal of Environmental Economics and Management, Elsevier, vol. 94(C), pages 67-81.
    21. Amitava Dutta & Gary Koehler & Andrew Whinston, 1982. "On Optimal Allocation in a Distributed Processing Environment," Management Science, INFORMS, vol. 28(8), pages 839-853, August.
    22. Dimitris Bertsimas & Vivek F. Farias & Nikolaos Trichakis, 2012. "On the Efficiency-Fairness Trade-off," Management Science, INFORMS, vol. 58(12), pages 2234-2250, December.
    23. Roth, Alvin E, 1991. "A Natural Experiment in the Organization of Entry-Level Labor Markets: Regional Markets for New Physicians and Surgeons in the United Kingdom," American Economic Review, American Economic Association, vol. 81(3), pages 415-440, June.
    24. Gérard P. Cachon & Martin A. Lariviere, 1999. "Capacity Choice and Allocation: Strategic Behavior and Supply Chain Performance," Management Science, INFORMS, vol. 45(8), pages 1091-1108, August.
    25. Perez-Gonzalez, Paz & Framinan, Jose M., 2014. "A common framework and taxonomy for multicriteria scheduling problems with interfering and competing jobs: Multi-agent scheduling problems," European Journal of Operational Research, Elsevier, vol. 235(1), pages 1-16.
    26. Joshua S. Gans, 2019. "The Fine Print in Smart Contracts," NBER Working Papers 25443, National Bureau of Economic Research, Inc.
    27. Panagiotis Kouvelis & Martin A. Lariviere, 2000. "Decentralizing Cross-Functional Decisions: Coordination Through Internal Markets," Management Science, INFORMS, vol. 46(8), pages 1049-1058, August.
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    More about this item

    Keywords

    Decentralized mechanisms; Implementation; Bargaining; Consistency; Blockchain;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • C78 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Bargaining Theory; Matching Theory
    • D47 - Microeconomics - - Market Structure, Pricing, and Design - - - Market Design
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • D78 - Microeconomics - - Analysis of Collective Decision-Making - - - Positive Analysis of Policy Formulation and Implementation

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