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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 buyerís arrival date is uncertain, and where his value changes stochastically over time. The buyerís arrival date is the Örst 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 Örst-best levels. Conditions are provided under which allocations converge to the e¢ cient ones long enough after contracting, and this convergence occurs irrespective of the time the contract is initially agreed (put di§erently, the so-called "principle of vanishing distortions" introduced by Battaglini (2005) continues to apply irrespective of the buyerís arrival date).

Suggested Citation

  • Garrett, Daniel F., 2017. "Dynamic Mechanism Design: Dynamic Arrivals and Changing Values," TSE Working Papers 17-830, Toulouse School of Economics (TSE).
  • Handle: RePEc:tse:wpaper:31911
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    References listed on IDEAS

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    1. repec:cwl:cwldpp:1953rrr is not listed on IDEAS
    2. repec:cwl:cwldpp:1953rr is not listed on IDEAS
    3. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    4. Besanko, David, 1985. "Multi-period contracts between principal and agent with adverse selection," Economics Letters, Elsevier, vol. 17(1-2), pages 33-37.
    5. Péter Eső & Balázs Szentes, 2007. "Optimal Information Disclosure in Auctions and the Handicap Auction," Review of Economic Studies, Oxford University Press, vol. 74(3), pages 705-731.
    6. Alex Gershkov & Benny Moldovanu, 2009. "Dynamic Revenue Maximization with Heterogeneous Objects: A Mechanism Design Approach," American Economic Journal: Microeconomics, American Economic Association, vol. 1(2), pages 168-198, August.
    7. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, Oxford University Press, vol. 99(3), pages 489-505.
    8. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
    9. Bergemann, Dirk & Strack, Philipp, 2015. "Dynamic revenue maximization: A continuous time approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 819-853.
    10. Deb, Rahul & Said, Maher, 2015. "Dynamic screening with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 891-928.
    11. Andrzej Skrzypacz & Juuso Toikka, 2015. "Mechanisms for Repeated Trade," American Economic Journal: Microeconomics, American Economic Association, vol. 7(4), pages 252-293, November.
    12. Ely, Jeffrey & Garrett, Daniel F. & Hinnosaar, Toomas, 2016. "Overbooking," TSE Working Papers 16-678, Toulouse School of Economics (TSE).
    13. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
    14. Jullien, Bruno, 2000. "Participation Constraints in Adverse Selection Models," Journal of Economic Theory, Elsevier, vol. 93(1), pages 1-47, July.
    15. Nocke, Volker & Peitz, Martin & Rosar, Frank, 2011. "Advance-purchase discounts as a price discrimination device," Journal of Economic Theory, Elsevier, vol. 146(1), pages 141-162, January.
    16. Daniel F. Garrett & Alessandro Pavan, 2012. "Managerial Turnover in a Changing World," Journal of Political Economy, University of Chicago Press, vol. 120(5), pages 879-925.
    17. Daniel F. Garrett, 2016. "Intertemporal Price Discrimination: Dynamic Arrivals and Changing Values," American Economic Review, American Economic Association, vol. 106(11), pages 3275-3299, November.
    18. Pascal Courty & Li Hao, 2000. "Sequential Screening," Review of Economic Studies, Oxford University Press, vol. 67(4), pages 697-717.
    19. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    20. Simon Board, 2008. "Durable-Goods Monopoly with Varying Demand," Review of Economic Studies, Oxford University Press, vol. 75(2), pages 391-413.
    21. Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
    22. Simon Board & Andrzej Skrzypacz, 2016. "Revenue Management with Forward-Looking Buyers," Journal of Political Economy, University of Chicago Press, vol. 124(4), pages 1046-1087.
    23. Battaglini, Marco & Lamba, Rohit, 2015. "Optimal Dynamic Contracting: the First-Order Approach and Beyond," CEPR Discussion Papers 10956, C.E.P.R. Discussion Papers.
    24. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    25. Raphael Boleslavsky & Maher Said, 2013. "Progressive Screening: Long-Term Contracting with a Privately Known Stochastic Process," Review of Economic Studies, Oxford University Press, vol. 80(1), pages 1-34.
    26. Mallesh M. Pai & Rakesh Vohra, 2013. "Optimal Dynamic Auctions and Simple Index Rules," Mathematics of Operations Research, INFORMS, vol. 38(4), pages 682-697, November.
    27. Akan, Mustafa & Ata, Barış & Dana, James D., 2015. "Revenue management by sequential screening," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 728-774.
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    1. Ely, Jeffrey & Garrett, Daniel F. & Hinnosaar, Toomas, 2016. "Overbooking," TSE Working Papers 16-678, Toulouse School of Economics (TSE).

    More about this item

    Keywords

    dynamic mechanism design; dynamic arrivals; stochastic process;

    JEL classification:

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

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