Journal Of The Econometric Society

An International Society for the Advancement of Economic
Theory in its Relation to Statistics and Mathematics

Edited by: Guido W. Imbens • Print ISSN: 0012-9682 • Online ISSN: 1468-0262

Econometrica: May, 1979, Volume 47, Issue 3

A Convergence Theorem for Competitive Bidding with Differential Information<679:ACTFCB>2.0.CO;2-X
p. 679-688

Paul R. Milgrom

This paper investigates the behavior of the winning bid in a sealed bid tender auction where each bidder has private information. With an appropriate concept of value, the winning bid will converge in probability to the value of the object auction (as the number of bidders grow large) if and only if a certain information condition is satisfied. In particular, it is not necessary for any bidder to know the value at the time the bids are submitted. These results bear on the relationship between price and value and on the aggregation of private information by the auction mechanism.

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