IDEAS home Printed from https://ideas.repec.org/a/eee/jetheo/v196y2021ics0022053121001241.html
   My bibliography  Save this article

Optimal selling mechanisms with buyer price search

Author

Listed:
  • Lu, Jingfeng
  • Wang, Zijia

Abstract

We study optimal dynamic selling mechanisms in a two-stage model where the buyer can search for a better price at the second stage. When this outside price is public, the optimal selling mechanism takes the form of a fixed first-stage price with price matching in the second stage. In contrast, when the outside price is the buyer's private information, the optimal mechanism is a menu of two contracts: a first-stage sale at a higher price with immediate delivery, or a first-stage sale at a lower price with second-stage delivery. Thus the optimal form of search deterrence depends on the observability of the buyer's outside option.

Suggested Citation

  • Lu, Jingfeng & Wang, Zijia, 2021. "Optimal selling mechanisms with buyer price search," Journal of Economic Theory, Elsevier, vol. 196(C).
  • Handle: RePEc:eee:jetheo:v:196:y:2021:i:c:s0022053121001241
    DOI: 10.1016/j.jet.2021.105307
    as

    Download full text from publisher

    File URL: http://www.sciencedirect.com/science/article/pii/S0022053121001241
    Download Restriction: Full text for ScienceDirect subscribers only

    File URL: https://libkey.io/10.1016/j.jet.2021.105307?utm_source=ideas
    LibKey link: if access is restricted and if your library uses this service, LibKey will redirect you to where you can use your library subscription to access this item
    ---><---

    As the access to this document is restricted, you may want to search for a different version of it.

    References listed on IDEAS

    as
    1. repec:cwl:cwldpp:1953rr is not listed on IDEAS
    2. Laffont, Jean-Jacques & Tirole, Jean, 1996. "Pollution permits and compliance strategies," Journal of Public Economics, Elsevier, vol. 62(1-2), pages 85-125, October.
    3. Daniel Krähmer & Roland Strausz, 2015. "Optimal Sales Contracts with Withdrawal Rights," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 82(2), pages 762-790.
    4. Bin Liu & Jingfeng Lu, 2018. "Pairing provision price and default remedy: optimal two‐stage procurement with private R&D efficiency," RAND Journal of Economics, RAND Corporation, vol. 49(3), pages 619-655, September.
    5. Bergemann, Dirk & Strack, Philipp, 2015. "Dynamic revenue maximization: A continuous time approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 819-853.
    6. Battaglini, Marco & Lamba, Rohit, 2019. "Optimal dynamic contracting: the first-order approach and beyond," Theoretical Economics, Econometric Society, vol. 14(4), November.
    7. Eső, Péter & Szentes, Balázs, 2017. "Dynamic contracting: an irrelevance theorem," LSE Research Online Documents on Economics 69403, London School of Economics and Political Science, LSE Library.
    8. Marina Halac & Pierre Yared, 2014. "Fiscal Rules and Discretion Under Persistent Shocks," Econometrica, Econometric Society, vol. 82(5), pages 1557-1614, September.
    9. Myerson, Roger B., 1982. "Optimal coordination mechanisms in generalized principal-agent problems," Journal of Mathematical Economics, Elsevier, vol. 10(1), pages 67-81, June.
    10. Bergemann, Dirk & Castro, Francisco & Weintraub, Gabriel Y., 2020. "The scope of sequential screening with ex post participation constraints," Journal of Economic Theory, Elsevier, vol. 188(C).
    11. Liu, Bin & Liu, Dongri & Lu, Jingfeng, 2020. "Shifting supports in Esö and Szentes (2007)," Economics Letters, Elsevier, vol. 193(C).
    12. Pascal Courty & Li Hao, 2000. "Sequential Screening," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 67(4), pages 697-717.
    13. Hao Li & Xianwen Shi, 2017. "Discriminatory Information Disclosure," American Economic Review, American Economic Association, vol. 107(11), pages 3363-3385, November.
    14. Sham M. Kakade & Ilan Lobel & Hamid Nazerzadeh, 2013. "Optimal Dynamic Mechanism Design and the Virtual-Pivot Mechanism," Operations Research, INFORMS, vol. 61(4), pages 837-854, August.
    15. Daniel F Garrett & Renato Gomes & Lucas Maestri, 2019. "Competitive Screening Under Heterogeneous Information," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 86(4), pages 1590-1630.
    16. Baron, David P. & Besanko, David, 1984. "Regulation and information in a continuing relationship," Information Economics and Policy, Elsevier, vol. 1(3), pages 267-302.
    17. 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.
    18. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    19. Alessandro Pavan & Ilya Segal & Juuso Toikka, 2014. "Dynamic Mechanism Design: A Myersonian Approach," Econometrica, Econometric Society, vol. 82(2), pages 601-653, March.
    20. Krähmer, Daniel & Strausz, Roland, 2015. "Ex post information rents in sequential screening," Games and Economic Behavior, Elsevier, vol. 90(C), pages 257-273.
    21. Jean-Jacques Laffont & Jean Tirole, 1990. "Adverse Selection and Renegotiation in Procurement," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(4), pages 597-625.
    22. repec:cwl:cwldpp:1953rrr is not listed on IDEAS
    23. Mierendorff, Konrad, 2016. "Optimal dynamic mechanism design with deadlines," Journal of Economic Theory, Elsevier, vol. 161(C), pages 190-222.
    24. Marco Battaglini, 2005. "Long-Term Contracting with Markovian Consumers," American Economic Review, American Economic Association, vol. 95(3), pages 637-658, June.
    25. Eső, Péter & Szentes, Balázs, 2017. "Dynamic contracting: an irrelevance theorem," Theoretical Economics, Econometric Society, vol. 12(1), January.
    26. Carbajal, Juan Carlos & Ely, Jeffrey C., 2013. "Mechanism design without revenue equivalence," Journal of Economic Theory, Elsevier, vol. 148(1), pages 104-133.
    Full references (including those not matched with items on IDEAS)

    Citations

    Citations are extracted by the CitEc Project, subscribe to its RSS feed for this item.
    as


    Cited by:

    1. Meng, Dawen & Sun, Lei & Tian, Guoqiang, 2022. "Dynamic mechanism design on social networks," Games and Economic Behavior, Elsevier, vol. 131(C), pages 84-120.
    2. Huiyi Guo & Wei He & Bin Liu, 2022. "Learning by Consuming: Optimal Pricing with Endogenous Information Provision," Papers 2209.01453, arXiv.org.

    Most related items

    These are the items that most often cite the same works as this one and are cited by the same works as this one.
    1. Meng, Dawen & Sun, Lei & Tian, Guoqiang, 2022. "Dynamic mechanism design on social networks," Games and Economic Behavior, Elsevier, vol. 131(C), pages 84-120.
    2. Bergemann, Dirk & Pavan, Alessandro, 2015. "Introduction to Symposium on Dynamic Contracts and Mechanism Design," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 679-701.
    3. Dirk Bergemann & Juuso Välimäki, 2019. "Dynamic Mechanism Design: An Introduction," Journal of Economic Literature, American Economic Association, vol. 57(2), pages 235-274, June.
    4. 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.
    5. Liu, Bin & Liu, Dongri & Lu, Jingfeng, 2020. "Shifting supports in Esö and Szentes (2007)," Economics Letters, Elsevier, vol. 193(C).
    6. Arve, Malin & Zwart, Gijsbert, 2023. "Optimal procurement and investment in new technologies under uncertainty," Journal of Economic Dynamics and Control, Elsevier, vol. 147(C).
    7. Bergemann, Dirk & Strack, Philipp, 2022. "Progressive participation," Theoretical Economics, Econometric Society, vol. 17(3), July.
    8. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120364, University Library of Munich, Germany, revised 06 Mar 2024.
    9. Bergemann, Dirk & V�lim�ki, Juuso, 2017. "Dynamic Mechanism Design: An Introduction," CEPR Discussion Papers 12240, C.E.P.R. Discussion Papers.
    10. Huiyi Guo & Wei He & Bin Liu, 2022. "Learning by Consuming: Optimal Pricing with Endogenous Information Provision," Papers 2209.01453, arXiv.org.
    11. Pham, Hien, 2023. "How Information Design Shapes Optimal Selling Mechanisms," MPRA Paper 120462, University Library of Munich, Germany, revised 17 Mar 2024.
    12. Garrett, Daniel F., 2017. "Dynamic mechanism design: Dynamic arrivals and changing values," Games and Economic Behavior, Elsevier, vol. 104(C), pages 595-612.
    13. Krähmer, Daniel & Strausz, Roland, 2017. "Sequential versus static screening: An equivalence result," Games and Economic Behavior, Elsevier, vol. 106(C), pages 317-328.
    14. Krasikov, Ilia & Lamba, Rohit, 2021. "A theory of dynamic contracting with financial constraints," Journal of Economic Theory, Elsevier, vol. 193(C).
    15. Deb, Rahul & Said, Maher, 2015. "Dynamic screening with limited commitment," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 891-928.
    16. Boaz Zik, 2023. "Efficient sequential screening with informational externalities," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 75(2), pages 567-590, February.
    17. Chifeng Dai, 2021. "Optimal sequential contract with a risk‐averse supplier," Canadian Journal of Economics/Revue canadienne d'économique, John Wiley & Sons, vol. 54(1), pages 92-125, February.
    18. Krähmer, Daniel & Strausz, Roland, 2022. "Dynamic Screening with Verifiable Bankruptcy," Rationality and Competition Discussion Paper Series 348, CRC TRR 190 Rationality and Competition.
    19. Bergemann, Dirk & Strack, Philipp, 2015. "Dynamic revenue maximization: A continuous time approach," Journal of Economic Theory, Elsevier, vol. 159(PB), pages 819-853.
    20. Thomas Mettral, 2018. "Deterministic versus stochastic contracts in a dynamic principal-agent model," Economic Theory Bulletin, Springer;Society for the Advancement of Economic Theory (SAET), vol. 6(2), pages 209-218, October.

    More about this item

    Keywords

    Dynamic mechanism design; Outside option; Price search; Price matching; Search deterrence;
    All these keywords.

    JEL classification:

    • D11 - Microeconomics - - Household Behavior - - - Consumer Economics: Theory
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D86 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Economics of Contract Law

    Statistics

    Access and download statistics

    Corrections

    All material on this site has been provided by the respective publishers and authors. You can help correct errors and omissions. When requesting a correction, please mention this item's handle: RePEc:eee:jetheo:v:196:y:2021:i:c:s0022053121001241. See general information about how to correct material in RePEc.

    If you have authored this item and are not yet registered with RePEc, we encourage you to do it here. This allows to link your profile to this item. It also allows you to accept potential citations to this item that we are uncertain about.

    If CitEc recognized a bibliographic reference but did not link an item in RePEc to it, you can help with this form .

    If you know of missing items citing this one, you can help us creating those links by adding the relevant references in the same way as above, for each refering item. If you are a registered author of this item, you may also want to check the "citations" tab in your RePEc Author Service profile, as there may be some citations waiting for confirmation.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: Catherine Liu (email available below). General contact details of provider: http://www.elsevier.com/locate/inca/622869 .

    Please note that corrections may take a couple of weeks to filter through the various RePEc services.

    IDEAS is a RePEc service. RePEc uses bibliographic data supplied by the respective publishers.