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 language | English |
|---|---|
| Pages (from-to) | 757-760 |
| Number of pages | 4 |
| Journal | Operations Research Letters |
| Volume | 44 |
| Issue number | 6 |
| DOIs | |
| State | Published - 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.
| Funders | Funder number |
|---|---|
| Mordecai and Monique Katz Graduate Fellowship Program at Bar-Ilan University | |
| Israel Science Foundation | 1083/13, 1224/12 |
Keywords
- Demand
- Gross substitutes
- Indivisible items
- Utility functions