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Quarterly Journal of Economics Vol. 117 No. 1 2002

Monotone Comparative Statics under Uncertainty

Susan Athey1,2

1 Stanford University · 2 National Bureau of Economic Research

open access

Abstract

This paper analyzes monotone comparative statics predictions in several classes of stochastic optimization problems. The main results characterize necessary and sufficient conditions for comparative statics predictions to hold based on properties of primitive functions, that is, utility functions and probability distributions. The results apply when the primitives satisfy one of the following two properties: (i) a single-crossing property, which arises in applications such as portfolio investment problems and auctions, or (ii) log-supermodularity, which arises in the analysis of demand functions, affiliated random variables, stochastic orders, and orders over risk aversion.

DOI
10.1162/003355302753399481
Volume
117
Issue
1
Pages
187-223
Language
en
Sources
bibtex:phds-export.bib openalex crossref

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