Nonparametric identification of endogenous and heterogeneous aggregate demand models: complements, bundles and the market level

Fabian Dunker, Stefan Hoderlein and Hiroaki Kaido

No 23/14, CeMMAP working papers from Institute for Fiscal Studies

Abstract: This paper studies nonparametric identification in market level demand models for di fferentiated products. We generalize common models by allowing for the distribution of heterogeneity parameters (random coefficients) to have a nonparametric distribution across the population and give conditions under which the density of the random coefficients is identified. We show that key identifying restrictions are provided by (i) a set of moment conditions generated by instrumental variables together with an inversion of aggregate demand in unobserved product characteristics; and (ii) an integral transform (Radon transform) that maps the random coefficient density to the aggregate demand. This feature is shown to be common across a wide class of models, and we illustrate this by studying leading demand models. Our examples include demand models based on the multinomial choice (Berry, Levinsohn, Pakes, 1995), the choice of bundles of goods that can be substitutes or complements, and the choice of goods consumed in multiple units.

Date: 2014-05-19
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Related works:
Working Paper: Nonparametric identification of endogenous and heterogeneous aggregate demand models: complements, bundles and the market level (2015)
Working Paper: Nonparametric identification of endogenous and heterogeneous aggregate demand models: complements, bundles and the market level (2015)
Working Paper: Nonparametric Identification of Endogenous and Heterogeneous Aggregate Demand Models: Complements, Bundles and the Market Level (2014)
Working Paper: Nonparametric identification of endogenous and heterogeneous aggregate demand models: complements, bundles and the market level (2014)
Working Paper: Nonparametric Identification of Endogenous and Heterogeneous Aggregate Demand Models: Complements, Bundles and the Market Level (2014)
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Persistent link: https://EconPapers.repec.org/RePEc:azt:cemmap:23/14

DOI: 10.1920/wp.cem.2014.2314

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