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Dynamic mechanism design: Dynamic arrivals and changing values

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  • Garrett, Daniel F.
Abstract
We study the optimal mechanism in a dynamic sales relationship where the buyer's arrival date is uncertain, and where his value changes stochastically over time. The buyer's arrival date is the first date at which contracting is feasible and is his private information. To induce immediate participation, the buyer is granted positive expected rents even if his value at arrival is the lowest possible. The buyer is punished for arriving late; i.e., he expects to earn less of the surplus. Optimal allocations for a late arriver are also further distorted below first-best levels. Conditions are provided under which allocations converge to the efficient ones long enough after contracting, and this convergence occurs irrespective of the time the contract is initially agreed (put differently, the so-called “principle of vanishing distortions” introduced by Battaglini (2005) continues to apply irrespective of the buyer's arrival date).

Suggested Citation

  • Garrett, Daniel F., 2017. "Dynamic mechanism design: Dynamic arrivals and changing values," Games and Economic Behavior, Elsevier, vol. 104(C), pages 595-612.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:595-612
    DOI: 10.1016/j.geb.2017.04.005
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    Cited by:

    1. Salant, David J. & Cabral, Luís, 2019. "Sequential auctions and auction revenue," Economics Letters, Elsevier, vol. 176(C), pages 1-4.
    2. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    3. Dalalah, Doraid & Ojiako, Udechukwu & Chipulu, Maxwell, 2020. "Voluntary overbooking in commercial airline reservations," Journal of Air Transport Management, Elsevier, vol. 86(C).
    4. Jeffrey C. Ely & Daniel F. Garrett & Toomas Hinnosaar, 2017. "Overbooking," Journal of the European Economic Association, European Economic Association, vol. 15(6), pages 1258-1301.
    5. Garrett, Daniel F., 2023. "Ready to trade? On budget-balanced efficient trade with uncertain arrival," Games and Economic Behavior, Elsevier, vol. 138(C), pages 161-170.
    6. Panova, Elena & Garrett, Daniel F., 2023. "Regulating investments when both costs and need are private," TSE Working Papers 23-1429, Toulouse School of Economics (TSE).
    7. Gregorio Curello & Ludvig Sinander, 2020. "Screening for breakthroughs," Papers 2011.10090, arXiv.org, revised Feb 2024.
    8. René Caldentey & Ying Liu & Ilan Lobel, 2017. "Intertemporal Pricing Under Minimax Regret," Operations Research, INFORMS, vol. 65(1), pages 104-129, February.
    9. Emil Temnyalov, 2019. "Points mechanisms and rewards programs," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 28(3), pages 436-457, June.

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    More about this item

    Keywords

    Dynamic mechanism design; Dynamic arrivals; Stochastic process;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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