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Calendar mechanisms

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  • Hinnosaar, Toomas

Abstract

I study the dynamic mechanism design problem of a monopolist selling a fixed number of service slots to randomly arriving, short-lived buyers with heterogeneous values. The fully optimal mechanism is a non-standard auction in which bidders' payoffs are non-monotone in their opponents' bids. Because its complexity may make the fully optimal mechanism too costly to implement, I also study the optimal mechanisms in restricted classes. The most restrictive are pure calendar mechanisms, which allocate service dates instead of contingent contracts. The optimal pure calendar mechanism is characterized by the opportunity costs of service slots and is implementable with a simple mechanism.

Suggested Citation

  • Hinnosaar, Toomas, 2017. "Calendar mechanisms," Games and Economic Behavior, Elsevier, vol. 104(C), pages 252-270.
    • Handle: RePEc:eee:gamebe:v:104:y:2017:i:c:p:252-270
    DOI: 10.1016/j.geb.2017.04.004
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    References listed on IDEAS

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    1. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    2. Dirk Bergemann & Juuso V‰lim‰ki, 2010. "The Dynamic Pivot Mechanism," Econometrica, Econometric Society, vol. 78(2), pages 771-789, March.
    3. 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.
    4. John Conlisk & Eitan Gerstner & Joel Sobel, 1984. "Cyclic Pricing by a Durable Goods Monopolist," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 99(3), pages 489-505.
    5. Gershkov, Alex & Moldovanu, Benny, 2010. "Efficient sequential assignment with incomplete information," Games and Economic Behavior, Elsevier, vol. 68(1), pages 144-154, January.
    6. Mallesh Pai & Rakesh Vohra, 2008. "Optimal Dynamic Auctions," Discussion Papers 1461, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
    7. Riley, John G & Samuelson, William F, 1981. "Optimal Auctions," American Economic Review, American Economic Association, vol. 71(3), pages 381-392, June.
    8. Robert Zeithammer, 2007. "Research Note--Strategic Bid-Shading and Sequential Auctioning with Learning from Past Prices," Management Science, INFORMS, vol. 53(9), pages 1510-1519, September.
    9. Francis Bloch & Nicolas Houy, 2012. "Optimal assignment of durable objects to successive agents," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 51(1), pages 13-33, September.
    10. Mookherjee, Dilip & Reichelstein, Stefan, 1992. "Dominant strategy implementation of Bayesian incentive compatible allocation rules," Journal of Economic Theory, Elsevier, vol. 56(2), pages 378-399, April.
    11. 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.
    12. Maskin, Eric S & Riley, John G, 1984. "Optimal Auctions with Risk Averse Buyers," Econometrica, Econometric Society, vol. 52(6), pages 1473-1518, November.
    13. Said, Maher, 2012. "Auctions with dynamic populations: Efficiency and revenue maximization," Journal of Economic Theory, Elsevier, vol. 147(6), pages 2419-2438.
    14. Simon Board, 2008. "Durable-Goods Monopoly with Varying Demand," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(2), pages 391-413.
    15. 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.
    16. Oliver D. Hart & Jean Tirole, 1988. "Contract Renegotiation and Coasian Dynamics," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 55(4), pages 509-540.
    17. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    18. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    19. 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.
    20. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
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    Cited by:

    1. Sano, Ryuji, 2021. "Dynamic slot allocations with different patience levels," Games and Economic Behavior, Elsevier, vol. 130(C), pages 465-473.
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    3. Dirk Bergemann & Alessandro Pavan, 2015. "Introduction to JET Symposium Issue on "Dynamic Contracts and Mechanism Design"," Cowles Foundation Discussion Papers 2016, Cowles Foundation for Research in Economics, Yale University.

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    More about this item

    Keywords

    Dynamic mechanism design; Services; Ticket sales; Restricted mechanisms;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • C73 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Stochastic and Dynamic Games; Evolutionary Games
    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions

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