Demand-flow of agents with gross-substitute valuations

Erel Segal-Halevi, Avinatan Hassidim, Yonatan Aumann

Research output: Contribution to journalArticlepeer-review

1 Scopus citations

Abstract

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
Volume44
Issue number6
DOIs
StatePublished - 1 Nov 2016

Bibliographical note

Publisher Copyright:
© 2016 Elsevier B.V.

Funding

This research was funded in part by the ISF grants 1083/13 and 1224/12 , the Doctoral Fellowships of Excellence Program and the Mordecai and Monique Katz Graduate Fellowship Program at Bar-Ilan University . We are grateful to Assaf Romm and Elizabeth Baldwin and an anonymous referee for their helpful comments.

FundersFunder number
Mordecai and Monique Katz Graduate Fellowship Program at Bar-Ilan University
Israel Science Foundation1083/13, 1224/12

    Keywords

    • Demand
    • Gross substitutes
    • Indivisible items
    • Utility functions

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