Authors
Michael Ostrovsky, Renato Paes Leme
Publication date
2015/9
Journal
Theoretical Economics
Volume
10
Issue
3
Pages
853-865
Publisher
Blackwell Publishing Ltd
Description
We show that the class of preferences satisfying the gross substitutes condition of [Kelso and Crawford, 1982] is strictly larger than the class of endowed assignment valuations of [Hatfield and Milgrom, 2005], thus resolving the open question posed by the latter paper. In particular, our result implies that not every substitutable valuation function can be “decomposed” into a combination of unit‐demand valuations.
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