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Optimal mechanism for the sale of a durable good

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  • Doval, Laura

    (Columbia Business School, Columbia University)

  • Skreta, Vasiliki

    (Department of Economics, University of Texas at Austin and Department of Economics, University College London)

Abstract

A buyer wishes to purchase a durable good from a seller who in each period chooses a mechanism under limited commitment. The buyer's value is binary and fully persistent. We show that posted prices implement all equilibrium outcomes of an infinite-horizon, mechanism-selection game. Despite being able to choose mechanisms, the seller can do no better and no worse than if he chose prices in each period, so that he is subject to Coase's conjecture. Our analysis marries insights from information and mechanism design with those from the literature on durable goods. We do so by relying on the revelation principle in Doval and Skreta (2022).

Suggested Citation

  • Doval, Laura & Skreta, Vasiliki, 2024. "Optimal mechanism for the sale of a durable good," Theoretical Economics, Econometric Society, vol. 19(2), May.
  • Handle: RePEc:the:publsh:4485
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    1. Laffont, Jean-Jacques & Tirole, Jean, 1987. "Comparative statics of the optimal dynamic incentive contract," European Economic Review, Elsevier, vol. 31(4), pages 901-926, June.
    2. Cole, Harold L. & Kocherlakota, Narayana, 2001. "Dynamic Games with Hidden Actions and Hidden States," Journal of Economic Theory, Elsevier, vol. 98(1), pages 114-126, May.
    3. R. A. Pollak, 1968. "Consistent Planning," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 35(2), pages 201-208.
    4. Raffaele Fiocco & Roland Strausz, 2015. "Consumer Standards as a Strategic Device to Mitigate Ratchet Effects in Dynamic Regulation," Journal of Economics & Management Strategy, Wiley Blackwell, vol. 24(3), pages 550-569, September.
    5. Laura Doval & Vasiliki Skreta, 2022. "Mechanism Design With Limited Commitment," Econometrica, Econometric Society, vol. 90(4), pages 1463-1500, July.
    6. Larry M. Ausubel & Raymond J. Deneckere, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Levine's Working Paper Archive 201, David K. Levine.
    7. B. Douglas Bernheim & Debraj Ray & Şevin Yeltekin, 2015. "Poverty and Self‐Control," Econometrica, Econometric Society, vol. 83(5), pages 1877-1911, September.
    8. R. Preston Mcafee & Thomas Wiseman, 2008. "Capacity Choice Counters the Coase Conjecture," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 75(1), pages 317-331.
    9. 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.
    10. Harris, Christopher & Laibson, David, 2001. "Dynamic Choices of Hyperbolic Consumers," Econometrica, Econometric Society, vol. 69(4), pages 935-957, July.
    11. Xavier Freixas & Roger Guesnerie & Jean Tirole, 1985. "Planning under Incomplete Information and the Ratchet Effect," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 52(2), pages 173-191.
    12. John Duggan, 2006. "Endogenous Voting Agendas," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 27(3), pages 495-530, December.
    13. Drew Fudenberg & Eric Maskin, 2008. "The Folk Theorem In Repeated Games With Discounting Or With Incomplete Information," World Scientific Book Chapters, in: Drew Fudenberg & David K Levine (ed.), A Long-Run Collaboration On Long-Run Games, chapter 11, pages 209-230, World Scientific Publishing Co. Pte. Ltd..
    14. Susan Athey & Kyle Bagwell, 2008. "Collusion With Persistent Cost Shocks," Econometrica, Econometric Society, vol. 76(3), pages 493-540, May.
    15. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    16. Sobel, Joel, 1991. "Durable Goods Monopoly with Entry of New Consumers," Econometrica, Econometric Society, vol. 59(5), pages 1455-1485, September.
    17. Paul R. Milgrom & Robert J. Weber, 1985. "Distributional Strategies for Games with Incomplete Information," Mathematics of Operations Research, INFORMS, vol. 10(4), pages 619-632, November.
    18. Juan D. Carrillo & Thomas Mariotti, 2000. "Strategic Ignorance as a Self-Disciplining Device," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(3), pages 529-544.
    19. Ausubel, Lawrence M & Deneckere, Raymond J, 1989. "Reputation in Bargaining and Durable Goods Monopoly," Econometrica, Econometric Society, vol. 57(3), pages 511-531, May.
    20. Deb, Rahul & Said, Maher, 2015. "Dynamic screening with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 891-928.
    21. Piotr Dworczak & Giorgio Martini, 2019. "The Simple Economics of Optimal Persuasion," Journal of Political Economy, University of Chicago Press, vol. 127(5), pages 1993-2048.
    22. Wolinsky, Asher, 1991. "Durable-good monopoly with inventories," Economics Letters, Elsevier, vol. 37(4), pages 339-343, December.
    23. Abreu, Dilip & Pearce, David & Stacchetti, Ennio, 1990. "Toward a Theory of Discounted Repeated Games with Imperfect Monitoring," Econometrica, Econometric Society, vol. 58(5), pages 1041-1063, September.
    24. Gul, Faruk & Sonnenschein, Hugo & Wilson, Robert, 1986. "Foundations of dynamic monopoly and the coase conjecture," Journal of Economic Theory, Elsevier, vol. 39(1), pages 155-190, June.
    25. Dan Cao & Iván Werning, 2016. "Dynamic Savings Choices with Disagreements," NBER Working Papers 22007, National Bureau of Economic Research, Inc.
    26. Caillaud, Bernard & Mezzetti, Claudio, 2004. "Equilibrium reserve prices in sequential ascending auctions," Journal of Economic Theory, Elsevier, vol. 117(1), pages 78-95, July.
    27. Simon Board & Marek Pycia, 2014. "Outside Options and the Failure of the Coase Conjecture," American Economic Review, American Economic Association, vol. 104(2), pages 656-671, February.
    28. Simon, Leo K & Zame, William R, 1990. "Discontinuous Games and Endogenous Sharing Rules," Econometrica, Econometric Society, vol. 58(4), pages 861-872, July.
    29. Beccuti, Juan & Möller, Marc, 2018. "Dynamic adverse selection with a patient seller," Journal of Economic Theory, Elsevier, vol. 173(C), pages 95-117.
    30. Gerardi, Dino & Maestri, Lucas, 2020. "Dynamic contracting with limited commitment and the ratchet effect," Theoretical Economics, Econometric Society, vol. 15(2), May.
    31. Robert J. Aumann, 1995. "Repeated Games with Incomplete Information," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262011476, April.
    32. Thomas Brzustowski & Alkis Georgiadis-Harris & Balázs Szentes, 2023. "Smart Contracts and the Coase Conjecture," American Economic Review, American Economic Association, vol. 113(5), pages 1334-1359, May.
    33. R. H. Strotz, 1955. "Myopia and Inconsistency in Dynamic Utility Maximization," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 23(3), pages 165-180.
    34. Kolotilin, Anton, 2018. "Optimal information disclosure: a linear programming approach," Theoretical Economics, Econometric Society, vol. 13(2), May.
    35. Qingmin Liu & Konrad Mierendorff & Xianwen Shi & Weijie Zhong, 2019. "Auctions with Limited Commitment," American Economic Review, American Economic Association, vol. 109(3), pages 876-910, March.
    36. Bezalel Peleg & Menahem E. Yaari, 1973. "On the Existence of a Consistent Course of Action when Tastes are Changing," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 40(3), pages 391-401.
    37. Avidit Acharya & Juan Ortner, 2017. "Progressive Learning," Econometrica, Econometric Society, vol. 85(6), pages 1965-1990, November.
    38. Joel Sobel & Takahashi, 1983. "A Multi-stage Model of Bargaining," Levine's Working Paper Archive 255, David K. Levine.
    39. Francesco Nava & Pasquale Schiraldi, 2019. "Differentiated Durable Goods Monopoly: A Robust Coase Conjecture," American Economic Review, American Economic Association, vol. 109(5), pages 1930-1968, May.
    40. Vincenzo Denicolo' & Paolo Garella, 1999. "Rationing in a Durable Goods Monopoly," RAND Journal of Economics, The RAND Corporation, vol. 30(1), pages 44-55, Spring.
    41. 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.
    42. McAfee, R. Preston & Vincent, Daniel, 1997. "Sequentially Optimal Auctions," Games and Economic Behavior, Elsevier, vol. 18(2), pages 246-276, February.
    43. Matthew Gentzkow & Emir Kamenica, 2016. "A Rothschild-Stiglitz Approach to Bayesian Persuasion," American Economic Review, American Economic Association, vol. 106(5), pages 597-601, May.
    44. Ortner, Juan, 2017. "Durable goods monopoly with stochastic costs," Theoretical Economics, Econometric Society, vol. 12(2), May.
    45. Bulow, Jeremy I, 1982. "Durable-Goods Monopolists," Journal of Political Economy, University of Chicago Press, vol. 90(2), pages 314-332, April.
    46. Burguet, Roberto & Sakovics, Jozsef, 1996. "Reserve Prices without Commitment," Games and Economic Behavior, Elsevier, vol. 15(2), pages 149-164, August.
    47. Bruno Strulovici, 2017. "Contract Negotiation and the Coase Conjecture: A Strategic Foundation for Renegotiation‐Proof Contracts," Econometrica, Econometric Society, vol. 85, pages 585-616, March.
    48. Nancy L. Stokey, 1981. "Rational Expectations and Durable Goods Pricing," Bell Journal of Economics, The RAND Corporation, vol. 12(1), pages 112-128, Spring.
    49. 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.
    50. Breig, Zachary, 2022. "Repeated contracting without commitment," Journal of Economic Theory, Elsevier, vol. 204(C).
    51. Coase, Ronald H, 1972. "Durability and Monopoly," Journal of Law and Economics, University of Chicago Press, vol. 15(1), pages 143-149, April.
    52. Habibi, Amir, 2020. "Motivation and information design," Journal of Economic Behavior & Organization, Elsevier, vol. 169(C), pages 1-18.
    53. Vasiliki Skreta, 2006. "Sequentially Optimal Mechanisms -super-1," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 73(4), pages 1085-1111.
    54. Nancy L. Stokey, 1979. "Intertemporal Price Discrimination," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 93(3), pages 355-371.
    55. Joel Sobel & Ichiro Takahashi, 1983. "A Multistage Model of Bargaining," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 50(3), pages 411-426.
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    Cited by:

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    2. Juan Beccuti, 2020. "On the Optimality of Price-posting in Rental Markets," Diskussionsschriften dp2007, Universitaet Bern, Departement Volkswirtschaft.
    3. Quitz'e Valenzuela-Stookey, 2020. "Screening and Information-Sharing Externalities," Papers 2011.04013, arXiv.org.
    4. S. Nageeb Ali & Navin Kartik & Andreas Kleiner, 2023. "Sequential Veto Bargaining With Incomplete Information," Econometrica, Econometric Society, vol. 91(4), pages 1527-1562, July.
    5. Ekmekci, Mehmet & Maestri, Lucas, 2022. "Wait or act now? Learning dynamics in stopping games," Journal of Economic Theory, Elsevier, vol. 205(C).
    6. Martino Banchio & Frank Yang, 2021. "Dynamic Pricing with Limited Commitment," Papers 2102.07742, arXiv.org, revised Dec 2021.
    7. Rivera Mora, Ernesto, 2024. "Mechanism design with belief-dependent preferences," Journal of Economic Theory, Elsevier, vol. 216(C).
    8. Francesco Giovannoni & Toomas Hinnosaar, 2022. "Pricing Novel Goods," Papers 2208.04985, arXiv.org, revised Aug 2024.
    9. Fabio Antoniou & Raffaele Fiocco, 2023. "Storable Good Market With Intertemporal Cost Variations," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 64(1), pages 361-385, February.

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    More about this item

    Keywords

    Mechanism design; limited commitment; information design; public PBE; posted prices; Coase conjecture;
    All these keywords.

    JEL classification:

    • D84 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Expectations; Speculations
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

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