Parallel inverse aggregate demand curves in discrete choice models

B-Tier
Journal: Economic Theory
Year: 2022
Volume: 74
Issue: 3
Pages: 923-946

Authors (4)

Kory Kroft (University of Toronto) René Leal-Vizcaíno (not in RePEc) Matthew J. Notowidigdo (Northwestern University) Ting Wang (not in RePEc)

Score contribution per author:

0.503 = (α=2.01 / 4 authors) × 1.0x B-tier

α: calibrated so average coauthorship-adjusted count equals average raw count

Abstract

Abstract This paper highlights a previously unnoticed property of commonly-used discrete choice models, which is that they feature parallel demand curves. Specifically, we show that in additive random utility models, inverse aggregate demand curves shift in parallel with respect to variety if and only if the random utility shocks follow the Gumbel (Type 1 Extreme Value) distribution. Using results from Extreme Value Theory, we provide conditions for other distributions to generate parallel demands asymptotically, as the number of varieties increases. We establish these results in the benchmark case of symmetric products, illustrate them using numerical simulations and show that they hold in extended versions of the model with correlated tastes and asymmetric products. Lastly, we provide a “proof of concept” of parallel demands as an economic tool by showing how to use parallel demands to identify the change in consumer surplus from an exogenous change in product variety.

Technical Details

RePEc Handle
repec:spr:joecth:v:74:y:2022:i:3:d:10.1007_s00199-021-01384-3
Journal Field
Theory
Author Count
4
Added to Database
2026-01-25