Latent Complementarity in Bundles Models

42 Pages Posted: 23 Oct 2018 Last revised: 28 Apr 2020

See all articles by Roy Allen

Roy Allen

University of Western Ontario - Department of Economics

John Rehbeck

Ohio State University (OSU) - Economics

Date Written: April 27, 2020

Abstract

This paper studies partial identi cation of latent complementarity in an optimizing model with two goods and binary quantities of each good (buy / don't buy). We provide simple bounds on the fraction of individuals for whom goods are complements/substitutes. Despite using only involve marginal choice probabilities, these bounds are sharp with a binary demand shifter. With rich variation in demand shifters, we show how to identify the distribution of latent complementarity using only marginal choice probabilities. Together, these results indicate that mean demands are sucient for measuring complementarity without observing whether goods are chosen together.

Keywords: Bundles, Complementarity, Identification

Suggested Citation

Allen, Roy and Rehbeck, John, Latent Complementarity in Bundles Models (April 27, 2020). Available at SSRN: https://ssrn.com/abstract=3257028 or http://dx.doi.org/10.2139/ssrn.3257028

Roy Allen

University of Western Ontario - Department of Economics ( email )

Social Science Centre, Room 4071
London, Ontario N6A 5C2
Canada

John Rehbeck (Contact Author)

Ohio State University (OSU) - Economics ( email )

410 Arps Hall
1945 N. High St.
Columbus, OH 43210-1172
United States

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