Advanced Search
MyIDEAS: Login to save this paper or follow this series

Aggregating the single crossing property: theory and applications to comparative statics and Bayesian games

Contents:

Author Info

  • John Quah
  • Bruno Strulovici

Abstract

The single crossing property plays a crucial role in monotone comparative statics (Milgrom and Shannon (1994)), yet in some important applications the property cannot be directly assumed or easily derived.� Difficulties often arise because the property cannot be aggregated: the sum of two functions with the single crossing property need not have the same property.� We obtain the precise conditions under which functions with the single crossing property add up to functions with this property.� We apply our results to certain Bayesian games when establishing the monotonicity of strategies is an important step in proving equilibrium existence.� In particular, we find conditions under which first-price auctions have monotone equilibria, generalizing the result of Reny and Zamir (2004).

Download Info

If you experience problems downloading a file, check if you have the proper application to view it first. In case of further problems read the IDEAS help page. Note that these files are not on the IDEAS site. Please be patient as the files may be large.
File URL: http://www.economics.ox.ac.uk/materials/papers/4385/paper493.pdf
Download Restriction: no

Bibliographic Info

Paper provided by University of Oxford, Department of Economics in its series Economics Series Working Papers with number 493.

as in new window
Length:
Date of creation: 01 Jun 2010
Date of revision:
Handle: RePEc:oxf:wpaper:493

Contact details of provider:
Postal: Manor Rd. Building, Oxford, OX1 3UQ
Email:
Web page: http://www.economics.ox.ac.uk/
More information through EDIRC

Related research

Keywords: Monotone comparative statics; Single crossing property; Bayesian games; Monotone strategies; First-price auctions; Logsupermodularity;

Find related papers by JEL classification:

This paper has been announced in the following NEP Reports:

References

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
as in new window
  1. Van Zandt, Timothy & Vives, Xavier, 2007. "Monotone equilibria in Bayesian games of strategic complementarities," Journal of Economic Theory, Elsevier, vol. 134(1), pages 339-360, 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 in new window

Cited by:
  1. Charles Z. Zheng, 2014. "Existence of Monotone Equilibria in First-Price Auctions with Resale," University of Western Ontario, Economic Policy Research Institute Working Papers 20141, University of Western Ontario, Economic Policy Research Institute.

Lists

This item is not listed on Wikipedia, on a reading list or among the top items on IDEAS.

Statistics

Access and download statistics

Corrections

When requesting a correction, please mention this item's handle: RePEc:oxf:wpaper:493. 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: (Caroline Wise).

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 references are entirely missing, you can add them using this form.

If the full references list an item that is present in RePEc, but the system did not link 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 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.