Demand-flow of agents with gross-substitute valuations

Erel Segal-Halevi, Avinatan Hassidim, Yonatan Aumann

Research output: Contribution to journalArticlepeer-review

1 Scopus citations


We consider the gross-substitute (GS) condition introduced by Kelso and Crawford (1982). GS is a condition on the demand-flow in a specific scenario: some items become more expensive while other items retain their price. We prove that GS is equivalent to a much stronger condition, describing the demand-flow in the general scenario in which all prices may change: the demand of GS agents always flows (weakly) downwards, i.e., from items with higher price-increase to items with lower price-increase.

Original languageEnglish
Pages (from-to)757-760
Number of pages4
JournalOperations Research Letters
Issue number6
StatePublished - 1 Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.


  • Demand
  • Gross substitutes
  • Indivisible items
  • Utility functions


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