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Sharing sequential values in a network

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  • Juarez, Ruben
  • Ko, Chiu Yu
  • Xue, Jingyi

Abstract

Consider a sequential process where agents have individual values at every possible step. A planner is in charge of selecting steps and distributing the accumulated aggregate values among a number of agents. We model this process by a directed network, whereby each edge is associated with a vector of individual values. This model applies to several new and existing problems, e.g. developing a connected public facility and distributing total values received by surrounding districts, selecting a long-term production project and sharing final profits among partners of a firm, or choosing a machine schedule to serve different tasks and distributing total benefits among task owners.

Suggested Citation

  • Juarez, Ruben & Ko, Chiu Yu & Xue, Jingyi, 2018. "Sharing sequential values in a network," Journal of Economic Theory, Elsevier, vol. 177(C), pages 734-779.
    • Handle: RePEc:eee:jetheo:v:177:y:2018:i:c:p:734-779
    DOI: 10.1016/j.jet.2018.08.004
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    Cited by:

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    2. Jens Leth Hougaard & Juan D. Moreno-Ternero & Lars Peter Østerdal, 2022. "Optimal Management of Evolving Hierarchies," Management Science, INFORMS, vol. 68(8), pages 6024-6038, August.
    3. Jung S. You & Ruben Juarez, 2021. "Incentive-compatible simple mechanisms," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 71(4), pages 1569-1589, June.
    4. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2022. "Sharing sequentially triggered losses: Automatic conflict resolution through smart contracts," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    5. Jens Gudmundsson & Jens Leth Hougaard & Chiu Yu Ko, 2020. "Sharing sequentially triggered losses," IFRO Working Paper 2020/05, University of Copenhagen, Department of Food and Resource Economics.
    6. Ruben Juarez & Kohei Nitta & Miguel Vargas, 2020. "Profit-sharing and efficient time allocation," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 70(3), pages 817-846, October.
    7. Juarez, Ruben & Nitta, Kohei & Vargas, Miguel, 2021. "Coalitional efficient profit-sharing," Economics Letters, Elsevier, vol. 204(C).
    8. Kristal K. Trejo & Ruben Juarez & Julio B. Clempner & Alexander S. Poznyak, 2023. "Non-Cooperative Bargaining with Unsophisticated Agents," Computational Economics, Springer;Society for Computational Economics, vol. 61(3), pages 937-974, March.

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    More about this item

    Keywords

    Sequential values; Sharing; Network; Redistribution;
    All these keywords.

    JEL classification:

    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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