TY - GEN AV - public N1 - This version is the version of record. For information on re-use, please refer to the publisher?s terms and conditions. ID - discovery10092128 T3 - Cemmap Working Paper CY - London, UK PB - Institute for Fiscal Studies Y1 - 2019/09/23/ A1 - Lewbel, A A1 - Nesheim, L N2 - We propose a demand model where consumers simultaneously choose a few di?erent 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 coe?cients are employed to capture the wide variation in the composition of consumption baskets. Non-negativity constraints produce corners that account for di?erent consumers purchasing di?erent numbers of types of goods. We show semiparametric identi?cation 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. KW - sparse demand KW - discrete choice KW - continuous choice KW - fruit KW - Tobit model KW - scanner data KW - complements TI - Sparse demand systems: corners and complements UR - https://doi.org/10.1920/wp.cem.2019.4519 ER -