Selling to the Mean

53 Pages Posted: 18 Jul 2015 Last revised: 20 Jul 2015

See all articles by Nenad Kos

Nenad Kos

Bocconi University - Department of Economics

Matthias Messner

University of Cologne

Multiple version iconThere are 2 versions of this paper

Date Written: June 19, 2015


We study optimal selling strategies of a seller who is poorly informed about the buyer's value for the object. When the max-min seller only knows that the mean of the distribution of the buyer's valuations belongs to some interval then nature can keep him to payoff zero no matter how much information the seller has about the mean. However, when the seller has information about the mean and the variance, or the mean and the upper bound of the support, the seller optimally commits to a randomization over prices and obtains a strictly positive payoff. In such a case additional information about the mean and/or the variance affects his payoff.

Keywords: Optimal mechanism design, Robustness, Incentive compatibility, Individual rationality, Ambiguity aversion

JEL Classification: C72, D44, D82

Suggested Citation

Kos, Nenad and Messner, Matthias, Selling to the Mean (June 19, 2015). Available at SSRN: or

Nenad Kos

Bocconi University - Department of Economics ( email )

Via Gobbi 5
Milan, 20136

Matthias Messner (Contact Author)

University of Cologne ( email )

Albertus Magnus Platz
Cologne, NRW 50923

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