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We propose a demand model where consumers simultaneously choose a few different goods from a large menu of available goods, and choose how much to consume of each good. The model nests multinomial discrete choice and continuous demand systems as special cases. Goods can be substitutes or complements. Random coefficients are employed to capture the wide variation in the composition of consumption baskets. Non-negativity constraints produce corners that account for different consumers purchasing different numbers of types of goods. We show semiparametric identification of the model. We apply the model to the demand for fruit in the United Kingdom. We estimate the model’s parameters using UK scanner data for 2008 from the Kantar World Panel. Using our parameter estimates, we estimate a matrix of demand elasticities for 27 categories of fruit and analyze a range of tax and policy change scenarios.
Authors
cemmap co-Director University College London
Lars Nesheim is a Professor of Economics at UCL and Co-Director of the Centre for Microdata Methods and Practice (cemmap).
Research Associate Boston College
Arthur is a Research Associate of the IFS and holds the Barbara A. and Patrick E. Roche chair in economics at Boston College.
Working Paper details
- DOI
- 10.1920/wp.cem.2019.4519
- Publisher
- The IFS
Suggested citation
Lewbel, A and Nesheim, L. (2019). Sparse demand systems: corners and complements. London: The IFS. Available at: https://ifs.org.uk/publications/sparse-demand-systems-corners-and-complements (accessed: 4 May 2024).
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