IDEAS home Printed from https://ideas.repec.org/a/hit/hitjec/v63y2022i1p72-85.html
   My bibliography  Save this article

Different Number of Bidders in Sequential Auctions

Author

Listed:
  • Meng, Xin
  • Gunay, Hikmet

Abstract

We analyze the correct selling order in a second-price sequential auction for two heterogeneous synergistic goods with local and global bidders. We prove that as the number of local bidders in the second auction approaches infinity, the outcome is always efficient. However, as the number of local bidders in the first auction approaches infinity, the outcome is inefficient with a positive probability. By using simulations, we show that selling the good with more finite bidders in the second auction results in a more efficient outcome. If the selling order is incorrect, the probabilityof an inefficient outcome is around 19%.

Suggested Citation

  • Meng, Xin & Gunay, Hikmet, 2022. "Different Number of Bidders in Sequential Auctions," Hitotsubashi Journal of Economics, Hitotsubashi University, vol. 63(1), pages 72-85, June.
  • Handle: RePEc:hit:hitjec:v:63:y:2022:i:1:p:72-85
    DOI: 10.15057/hje.2022004
    as

    Download full text from publisher

    File URL: https://hermes-ir.lib.hit-u.ac.jp/hermes/ir/re/74165/HJeco0630100720.pdf
    Download Restriction: no

    File URL: https://libkey.io/10.15057/hje.2022004?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
    ---><---

    References listed on IDEAS

    as
    1. Flavio Menezes & Paulo Monteiro, 2003. "Synergies and price trends in sequential auctions," Review of Economic Design, Springer;Society for Economic Design, vol. 8(1), pages 85-98, August.
    2. Dakshina G. De Silva, 2005. "Synergies in Recurring Procurement Auctions: An Empirical Investigation," Economic Inquiry, Western Economic Association International, vol. 43(1), pages 55-66, January.
    3. GUNAY, Hikmet & MENG, Xin, 2017. "Which good to sell first in a sequential auction?," Discussion paper series HIAS-E-45, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    4. Meng, Xin & Gunay, Hikmet, 2017. "Exposure problem in multi-unit auctions," International Journal of Industrial Organization, Elsevier, vol. 52(C), pages 165-187.
    5. Wedad Elmaghraby, 2003. "The Importance of Ordering in Sequential Auctions," Management Science, INFORMS, vol. 49(5), pages 673-682, May.
    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. Hikmet Gunay & Ricardo Huamán-Aguilar, 2024. "Experiments on the Different Numbers of Bidders in Sequential Auctions," Documentos de Trabajo / Working Papers 2024-530, Departamento de Economía - Pontificia Universidad Católica del Perú.

    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. Ramanathan Subramaniam & R. Venkatesh, 2009. "Optimal Bundling Strategies in Multiobject Auctions of Complements or Substitutes," Marketing Science, INFORMS, vol. 28(2), pages 264-273, 03-04.
    2. J. Reiß & Jens Schöndube, 2010. "First-price equilibrium and revenue equivalence in a sequential procurement auction model," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 43(1), pages 99-141, April.
    3. GUNAY, Hikmet & MENG, Xin, 2017. "Which good to sell first in a sequential auction?," Discussion paper series HIAS-E-45, Hitotsubashi Institute for Advanced Study, Hitotsubashi University.
    4. Harrison Hong & Ilan Kremer & Jeffrey D. Kubik & Jianping Mei & Michael Moses, 2015. "Ordering, revenue and anchoring in art auctions," RAND Journal of Economics, RAND Corporation, vol. 46(1), pages 186-216, March.
    5. Veronika Grimm, 2004. "On Procurement Auctions Of Complementary Goods," Working Papers. Serie AD 2004-02, Instituto Valenciano de Investigaciones Económicas, S.A. (Ivie).
    6. Wedad Elmaghraby, 2005. "The Effect of Asymmetric Bidder Size on an Auction's Performance: Are More Bidders Always Better?," Management Science, INFORMS, vol. 51(12), pages 1763-1776, December.
    7. Stuart Kells, 2003. "Explaining The Breadth Of Expert Estimate Ranges In Auctions Of Rare Books," Department of Economics - Working Papers Series 873, The University of Melbourne.
    8. Hikmet Gunay & Ricardo Huamán-Aguilar, 2024. "Experiments on the Different Numbers of Bidders in Sequential Auctions," Documentos de Trabajo / Working Papers 2024-530, Departamento de Economía - Pontificia Universidad Católica del Perú.
    9. Indranil Chakraborty, 2004. "Multi-Unit Auctions with Synergy," Economics Bulletin, AccessEcon, vol. 4(8), pages 1-14.
    10. Elisabetta Iossa & Patrick Rey & Michael Waterson, 2022. "Organising Competition for the Market," Journal of the European Economic Association, European Economic Association, vol. 20(2), pages 822-868.
    11. Emmanuel LORENZON, 2020. "Uninformed Bidding in Sequential Auctions," Bordeaux Economics Working Papers 2020-20, Bordeaux School of Economics (BSE).
    12. Leufkens Kasper & Peeters Ronald & Vorsatz Marc, 2012. "An Experimental Comparison of Sequential First- and Second-Price Auctions with Synergies," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-28, January.
    13. Corazzini, Luca & Galavotti, Stefano & Valbonesi, Paola, 2019. "An experimental study on sequential auctions with privately known capacities," Games and Economic Behavior, Elsevier, vol. 117(C), pages 289-315.
    14. Gentry, Matthew & Komarova, Tatiana & Schiraldi, Pasquale & Shin, Wiroy, 2019. "On monotone strategy equilibria in simultaneous auctions for complementary goods," Journal of Mathematical Economics, Elsevier, vol. 85(C), pages 109-128.
    15. Pitchik, Carolyn, 2009. "Budget-constrained sequential auctions with incomplete information," Games and Economic Behavior, Elsevier, vol. 66(2), pages 928-949, July.
    16. Bougt, Daniel & Ghosh, Gagan & Liu, Heng, 2023. "Identification of interdependent values in sequential first-price auctions," International Journal of Industrial Organization, Elsevier, vol. 91(C).
    17. Archishman Chakraborty & Nandini Gupta & Rick Harbaugh, 2006. "Best foot forward or best for last in a sequential auction?," RAND Journal of Economics, RAND Corporation, vol. 37(1), pages 176-194, March.
    18. Barbosa, Klenio & Boyer, Pierre C., 2021. "Discrimination in Dynamic Procurement Design with Learning-by-doing," International Journal of Industrial Organization, Elsevier, vol. 77(C).
    19. Audrey Hu & Liang Zou, 2014. "Sequential Auctions, Price Trends, and Risk Preferences," Tinbergen Institute Discussion Papers 14-139/I, Tinbergen Institute.
    20. Jin, Mingzhou & Wu, S. David & Erkoc, Murat, 2006. "Multiple unit auctions with economies and diseconomies of scale," European Journal of Operational Research, Elsevier, vol. 174(2), pages 816-834, October.

    More about this item

    Keywords

    Sequential auctions; efficiency; global bidder;
    All these keywords.

    JEL classification:

    • D44 - Microeconomics - - Market Structure, Pricing, and Design - - - Auctions
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

    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:hit:hitjec:v:63:y:2022:i:1:p:72-85. 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: Digital Resources Section, Hitotsubashi University Library (email available below). General contact details of provider: https://edirc.repec.org/data/fehitjp.html .

    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.