IDEAS home Printed from https://ideas.repec.org/p/dpr/wpaper/0790.html
   My bibliography  Save this paper

Auctions where incomes are private information and preferences (non quasi-linear) are common knowledge

Author

Listed:
  • Krishnendu Ghosh Dastidar

Abstract

We consider a two good world where an individual i with income mi has utility function u(x,y), where x belongs to [0,infinity) and y belongs {0,1}. We first derive the valuation (maximum price that he is willing to pay for the object) for good y as a function of his income. Then we consider the following problem. Suppose good x is available in a store at a fixed price 1. Good y can be obtained in an auction. In such a situation we show that bidding ones own valuation is an equilibrium in a second-price auction. With risk neutral bidders and high enough incomes we derive the symmetric equilibrium in first-price and all-pay auctions and show that revenue equivalence fails to hold. With risk neutrality we also show that under mild restrictions, the revenue maximising reserve price is zero for all the three auctions and the all-pay auction with zero reserve price fetches the highest expected revenue. With low enough incomes, we show that under some restrictions, bidding ones own valuation is a symmetric equilibrium even for first-price and all-pay auctions. Here also, the expected revenue is the highest with all-pay auctions.

Suggested Citation

  • Krishnendu Ghosh Dastidar, 2010. "Auctions where incomes are private information and preferences (non quasi-linear) are common knowledge," ISER Discussion Paper 0790, Institute of Social and Economic Research, Osaka University.
  • Handle: RePEc:dpr:wpaper:0790
    as

    Download full text from publisher

    File URL: http://www.iser.osaka-u.ac.jp/library/dp/2010/DP0790.pdf
    Download Restriction: no

    References listed on IDEAS

    as
    1. Yeon-Koo Che & Ian Gale, 1998. "Standard Auctions with Financially Constrained Bidders," Review of Economic Studies, Oxford University Press, vol. 65(1), pages 1-21.
    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 & Xin Meng & Mark Nagelberg, 2012. "Reserve Price When Bidders are Asymmetric," ISER Discussion Paper 0849, Institute of Social and Economic Research, Osaka University.

    More about this item

    NEP fields

    This paper has been announced in the following NEP Reports:

    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:dpr:wpaper:0790. See general information about how to correct material in RePEc.

    For technical questions regarding this item, or to correct its authors, title, abstract, bibliographic or download information, contact: (Fumiko Matsumoto). General contact details of provider: http://edirc.repec.org/data/isosujp.html .

    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 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.

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

    IDEAS is a RePEc service hosted by the Research Division of the Federal Reserve Bank of St. Louis . RePEc uses bibliographic data supplied by the respective publishers.