IDEAS home Printed from https://ideas.repec.org/a/bpj/bejtec/v12y2012i1n17.html
   My bibliography  Save this article

Dominance Solvability of Large k-Price Auctions

Author

Listed:
  • Azrieli Yaron

    (The Ohio State University)

  • Levin Dan

    (The Ohio State University)

Abstract

In an environment of independent private values, we show that k-price auctions (k>2) with a large number of bidders are dominance solvable in two steps. Specifically, if bidders are rational and are certain that their opponents are rational (but without requiring deeper levels of reasoning), then bids converge to true valuations as the economy gets larger. Our model allows for heterogeneity in bidders' attitudes to risk and in the distributions from which valuations are drawn.

Suggested Citation

  • Azrieli Yaron & Levin Dan, 2012. "Dominance Solvability of Large k-Price Auctions," The B.E. Journal of Theoretical Economics, De Gruyter, vol. 12(1), pages 1-11, May.
  • Handle: RePEc:bpj:bejtec:v:12:y:2012:i:1:n:17
    DOI: 10.1515/1935-1704.1880
    as

    Download full text from publisher

    File URL: https://doi.org/10.1515/1935-1704.1880
    Download Restriction: For access to full text, subscription to the journal or payment for the individual article is required.

    File URL: https://libkey.io/10.1515/1935-1704.1880?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. Tauman, Yair, 2002. "A note on k-price auctions with complete information," Games and Economic Behavior, Elsevier, vol. 41(1), pages 161-164, October.
    2. Dekel, Eddie & Fudenberg, Drew, 1990. "Rational behavior with payoff uncertainty," Journal of Economic Theory, Elsevier, vol. 52(2), pages 243-267, December.
    3. Dekel, Eddie & Wolinsky, Asher, 2003. "Rationalizable outcomes of large private-value first-price discrete auctions," Games and Economic Behavior, Elsevier, vol. 43(2), pages 175-188, May.
    4. Wolfstetter, Elmar, 1996. "Auctions: An Introduction," Journal of Economic Surveys, Wiley Blackwell, vol. 10(4), pages 367-420, December.
    5. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
    6. Kagel, John H & Levin, Dan, 1993. "Independent Private Value Auctions: Bidder Behaviour in First-, Second- and Third-Price Auctions with Varying Numbers of Bidders," Economic Journal, Royal Economic Society, vol. 103(419), pages 868-879, July.
    7. Mark A. Satterthwaite & Steven R. Williams, 1989. "The Rate of Convergence to Efficiency in the Buyer's Bid Double Auction as the Market Becomes Large," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 56(4), pages 477-498.
    8. Unknown, 1986. "Letters," Choices: The Magazine of Food, Farm, and Resource Issues, Agricultural and Applied Economics Association, vol. 1(4), pages 1-9.
    9. Einy, Ezra & Haimanko, Ori & Orzach, Ram & Sela, Aner, 2002. "Dominance solvability of second-price auctions with differential information," Journal of Mathematical Economics, Elsevier, vol. 37(3), pages 247-258, May.
    10. Steven R. Williams, 1991. "Existence and Convergence of Equilibria in the Buyer's Bid Double Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 58(2), pages 351-374.
    11. William Vickrey, 1961. "Counterspeculation, Auctions, And Competitive Sealed Tenders," Journal of Finance, American Finance Association, vol. 16(1), pages 8-37, March.
    12. Levin, Dan, 1986. "On dominance solvable auctions in the general symmetric model," Economics Letters, Elsevier, vol. 22(2-3), pages 165-167.
    13. Dov Monderer & Moshe Tennenholtz, 2004. "K-price auctions: Revenue inequalities, utility equivalence, and competition in auction design," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 24(2), pages 255-270, August.
    14. In-Koo Cho, 2005. "Monotonicity and Rationalizability in a Large First Price Auction," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 72(4), pages 1031-1055.
    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. Mathews, Timothy & Schwartz, Jesse A., 2017. "A note on k-price auctions with complete information when mixed strategies are allowed," Economics Letters, Elsevier, vol. 153(C), pages 6-8.

    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. Azrieli, Yaron & Levin, Dan, 2011. "Dominance-solvable common-value large auctions," Games and Economic Behavior, Elsevier, vol. 73(2), pages 301-309.
    2. Makoto Shimoji, 2017. "Revenue comparison of discrete private-value auctions via weak dominance," Review of Economic Design, Springer;Society for Economic Design, vol. 21(4), pages 231-252, December.
    3. Battigalli, Pierpaolo & Siniscalchi, Marciano, 2003. "Rationalizable bidding in first-price auctions," Games and Economic Behavior, Elsevier, vol. 45(1), pages 38-72, October.
    4. Wei Lim & Joo Lee-Partridge & Soo Tan, 2008. "Revenue implication of auction value in k-price sealed-bid auctions: An experimental study," Marketing Letters, Springer, vol. 19(1), pages 25-38, March.
    5. Enache, Andreea & Florens, Jean-Pierre, 2019. "Identification and Estimation in a Third-Price Auction Model," TSE Working Papers 19-989, Toulouse School of Economics (TSE).
    6. Bernhard Kasberger & Karl H. Schlag, 2017. "Robust Bidding in First-Price Auctions: How to Bid without Knowing what Otheres are Doing," Vienna Economics Papers 1707, University of Vienna, Department of Economics.
    7. Bernhard Kasberger & Karl H. Schlag, 2017. "Robust Bidding in First-Price Auctions: How to Bid without Knowing what Otheres are Doing," Vienna Economics Papers vie1707, University of Vienna, Department of Economics.
    8. Andreea Enache & Jean-Pierre Florens, 2020. "Identification and Estimation in a Third-Price Auction Model," Post-Print hal-02929530, HAL.
    9. Nawar, Abdel-Hameed & Sen, Debapriya, 2018. "kth price auctions and Catalan numbers," Economics Letters, Elsevier, vol. 172(C), pages 69-73.
    10. J.M.J. Delnoij & K.J.M. De Jaegher, 2016. "Competing first-price and second-price auctions," Working Papers 16-07, Utrecht School of Economics.
    11. Dirk Bergemann & Benjamin Brooks & Stephen Morris, 2017. "First‐Price Auctions With General Information Structures: Implications for Bidding and Revenue," Econometrica, Econometric Society, vol. 85, pages 107-143, January.
    12. Bartling, Björn & Netzer, Nick, 2016. "An externality-robust auction: Theory and experimental evidence," Games and Economic Behavior, Elsevier, vol. 97(C), pages 186-204.
    13. Holst, Gesa Sophie & Musshoff, Oliver & Vollmer, Elisabeth, 2018. "How does the Risk Attitude affect the Bidding Behavior of Farmers? Results of an Experimental Auction," German Journal of Agricultural Economics, Humboldt-Universitaet zu Berlin, Department for Agricultural Economics, vol. 67(1), March.
    14. Joyce Delnoij & Kris Jaegher, 2020. "Competing first-price and second-price auctions," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 69(1), pages 183-216, February.
    15. Pierpaolo Battigalli & Marciano Siniscalchi, "undated". "Rationalizable Bidding in General First-Price Auctions," Working Papers 190, IGIER (Innocenzo Gasparini Institute for Economic Research), Bocconi University.
    16. Paul Pezanis-Christou & Hang Wu, 2017. "A Naïve Approach to Bidding," School of Economics and Public Policy Working Papers 2017-03, University of Adelaide, School of Economics and Public Policy.
    17. Itzhak Rasooly & Carlos Gavidia-Calderon, 2020. "The importance of being discrete: on the inaccuracy of continuous approximations in auction theory," Papers 2006.03016, arXiv.org, revised Aug 2022.
    18. Sarkar, Soumendu, 2018. "Convergence of VCG mechanism to ex-post budget balance in a model of land acquisition," Mathematical Social Sciences, Elsevier, vol. 93(C), pages 37-46.
    19. In-Koo Cho, 2004. "Monotonicity and Rationalizability in Large Uniform Price and Double Auctions," Theory workshop papers 658612000000000076, UCLA Department of Economics.
    20. Paul Pezanis-Christou & Hang Wu, 2018. "A non-game-theoretic approach to bidding in first-price and all-pay auctions," School of Economics and Public Policy Working Papers 2018-12, University of Adelaide, School of Economics and Public Policy.

    More about this item

    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:bpj:bejtec:v:12:y:2012:i:1:n:17. 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: Peter Golla (email available below). General contact details of provider: https://www.degruyter.com .

    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.