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 |
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Pages (from-to) | 757-760 |
Number of pages | 4 |
Journal | Operations Research Letters |
Volume | 44 |
Issue number | 6 |
DOIs | |
State | Published - 1 Nov 2016 |
Externally published | Yes |
Keywords
- Demand
- Gross substitutes
- Indivisible items
- Utility functions