Hostname: page-component-848d4c4894-cjp7w Total loading time: 0 Render date: 2024-07-06T02:46:55.416Z Has data issue: false hasContentIssue false

A Class of All-pay Auctions with Affiliated Information

Published online by Cambridge University Press:  17 August 2016

Gian Luigi Albano*
Affiliation:
University CollegeLondon
*
Department of Economics, University College London, Gower Street, London WC1E 6BT, United Kingdom. E-mail: g.albano@ucl.ac.uk
Get access

Summary

We study an auction mechanism combining the war of attrition and the all-pay auction under the assumption that buyers’ signals are affiliated. We provide a sufficient condition which guarantees the existence of a symmetric, increasing equilibrium bidding strategy, but rules out full extraction of buyers’ surplus by the seller. We develop revenue comparison between the combined mechanism, the war of attrition and the all-pay auction.

Résumé

Résumé

Les enchères all-pay constituent des mécanismes de vente dans lesquels le vendeur retient les offres de tous les participants. Nous étudions une classe d’enchères all-pay ou l’acquéreur paie une combinaison convexe entre son offre et la deuxième meilleure offre. Une condition suffisante pour l’existence d’un équilibre symétrique est proposée. Nous montrons sous quelles conditions le vendeur peut extraire tout le surplus des participants.

Type
Research Article
Copyright
Copyright © Université catholique de Louvain, Institut de recherches économiques et sociales 2001 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

Footnotes

*

I am grateful to A. Lizzeri for having brought this problem to my attention. M. Ottaviani and especially two anonymous referees provided insightful comments. All remaining imprecisions are mine.

References

Crawford, V.P., (1977), A Game of Fair Division, Review of Economic Studies, 44, pp. 235247.Google Scholar
Güth, W., (1986), Auctions, Public Tenders, and Fair Division Games – an Axiomatic Approach, Mathematical Social Sciences, 11, pp. 283294.Google Scholar
Krishna, V. and Morgan, J., (1997), An Analysis of the War of Attrition and the All-Pay Auction, Journal of Economic Theory, 72, pp. 343362.Google Scholar
Lizzeri, A. and Persico, N., (2000), Uniqueness and Existence of Equilibrium in Auctions with a Reserve Price, Games and Economic Behavior, 30, pp. 83114.Google Scholar
McAfee, P., McMillan, J. and Reny, P., (1989), Extracting the surplus in a common value auction, Econometrica, 57, pp. 14511460.Google Scholar
Milgrom, P. and Weber, R., (1982), A Theory of Auctions and Competitive Bidding, Econometrica, 50, pp. 10891122.Google Scholar
Moulin, H., (1984), The Conditional Auction Mechanism for sharing a Surplus, Review of Economic Studies, 51, pp. 157170.Google Scholar
Steinhaus, H., (1948), The Problem of Fair Division, Econometrica, 16, pp. 101104.Google Scholar