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Auctioning and Selling Positions: A Non-cooperative Approach to Queuing Conflicts

Author

Listed:
  • Rene van den Brink

    (VU University Amsterdam)

  • Youngsub Chun

    (Seoul National University, Korea)

  • Yuan Ju

    (University of York, United Kingdom)

Abstract

This discussion paper resulted in a publication in the 'Journal of Economic Theory' , 2014, 153, 33-45. Complementary to the axiomatic and mechanism design studies on queueing problems, this paper proposes a strategic bargaining approach to resolve queueing conflicts. Given a situation where players with different waiting costs have to form a queue in order to be served, they firstly compete with each other for a specific position in the queue. Then, the winner can decide to take up the position or sell it to the others. In the former case, the rest of the players will proceed to compete for the remaining positions in the same manner; whereas for the latter case the seller can propose a queue with corresponding payments to the others which can be accepted or rejected. Depending on which position players are going to compete for, the subgame perfect equilibrium outcome of the corresponding mechanism coincides with one of the two best known rules for queueing problems, t he maximal and the minimal transfer rules, while an efficient queue is always formed in equilibrium. The analysis discovers a striking relationship between pessimism and optimism in this type of decision making.

Suggested Citation

  • Rene van den Brink & Youngsub Chun & Yuan Ju, 2014. "Auctioning and Selling Positions: A Non-cooperative Approach to Queuing Conflicts," Tinbergen Institute Discussion Papers 14-016/II, Tinbergen Institute.
    • Handle: RePEc:tin:wpaper:20140016
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    References listed on IDEAS

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    1. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
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    Cited by:

    1. Ju, Yuan & Chun, Youngsub & van den Brink, René, 2014. "Auctioning and selling positions: A non-cooperative approach to queueing conflicts," Journal of Economic Theory, Elsevier, vol. 153(C), pages 33-45.
    2. Wenzhong Li & Genjiu Xu & Rong Zou & Dongshuang Hou, 2022. "The allocation of marginal surplus for cooperative games with transferable utility," International Journal of Game Theory, Springer;Game Theory Society, vol. 51(2), pages 353-377, June.
    3. Bergantiños, Gustavo & Groba, Carlos & Sartal, Antonio, 2023. "Applying the Shapley value to the tuna fishery," European Journal of Operational Research, Elsevier, vol. 309(1), pages 306-318.
    4. Hu, Cheng-Cheng & Tsay, Min-Hung & Yeh, Chun-Hsien, 2018. "A study of the nucleolus in the nested cost-sharing problem: Axiomatic and strategic perspectives," Games and Economic Behavior, Elsevier, vol. 109(C), pages 82-98.
    5. Van Essen, Matt & Wooders, John, 2021. "Allocating positions fairly: Auctions and Shapley value," Journal of Economic Theory, Elsevier, vol. 196(C).
    6. Juan D. Moreno-Ternero & Min-Hung Tsay & Chun-Hsien Yeh, 2020. "A strategic justification of the Talmud rule based on lower and upper bounds," International Journal of Game Theory, Springer;Game Theory Society, vol. 49(4), pages 1045-1057, December.
    7. Leticia Lorenzo, 2019. "Comments on: 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 28-30, April.
    8. 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.
    9. Tsay, Min-Hung & Yeh, Chun-Hsien, 2019. "Relations among the central rules in bankruptcy problems: A strategic perspective," Games and Economic Behavior, Elsevier, vol. 113(C), pages 515-532.

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    More about this item

    Keywords

    Queueing problem; minimal transfer rule; maximal transfer rule; Shapley value; bidding mechanism; implementation; Queuing problem;
    All these keywords.

    JEL classification:

    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games
    • C72 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Noncooperative Games
    • D60 - Microeconomics - - Welfare Economics - - - General

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