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Identification of Demand Models of Multiple Purchases

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Author Info

  • Itai Sher

    ()
    (Department of Economics, University of Minnesota)

  • Kyoo il Kim

    ()
    (Department of Economics, University of Minnesota)

Abstract

We study the nonparametric identification of distributions of utility functions in a multiple purchase setting with a finite number of consumers. Each utility function takes as arguments subsets or, alternatively, quantities of the multiple goods. We exploit mathematical insights from auction theory to generically identify the distribution of utility functions. We use price variation and aggregate data on the sales of each product, but not on individual level purchases or the total sales of bundles of products.

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File URL: http://www.econ.umn.edu/merr/2012_2.pdf
File Function: First version, 2012
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Bibliographic Info

Paper provided by University of Minnesota, Department of Economics in its series Working Papers with number 2012-2.

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Length: 70 pages
Date of creation: 09 Nov 2012
Date of revision:
Handle: RePEc:min:wpaper:2012-2

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Related research

Keywords: Multiple Discrete Choice; Multiple Purchase; Nonparametric Identification; Distribution of Utility Functions; Individual Heterogeneity; Submodularity; Gross Substitutes;

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References

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  1. Nevo, Aviv, 2001. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Econometrica, Econometric Society, vol. 69(2), pages 307-42, March.
  2. Danilov, Vladimir & Koshevoy, Gleb & Murota, Kazuo, 2001. "Discrete convexity and equilibria in economies with indivisible goods and money," Mathematical Social Sciences, Elsevier, vol. 41(3), pages 251-273, May.
  3. Amil Petrin, 2002. "Quantifying the Benefits of New Products: The Case of the Minivan," Journal of Political Economy, University of Chicago Press, vol. 110(4), pages 705-729, August.
  4. Jean-Pierre Dubé, 2004. "Multiple Discreteness and Product Differentiation: Demand for Carbonated Soft Drinks," Marketing Science, INFORMS, vol. 23(1), pages 66-81, September.
  5. Kelso, Alexander S, Jr & Crawford, Vincent P, 1982. "Job Matching, Coalition Formation, and Gross Substitutes," Econometrica, Econometric Society, vol. 50(6), pages 1483-1504, November.
  6. Steven T. Berry, 1994. "Estimating Discrete-Choice Models of Product Differentiation," RAND Journal of Economics, The RAND Corporation, vol. 25(2), pages 242-262, Summer.
  7. Hendel, Igal, 1999. "Estimating Multiple-Discrete Choice Models: An Application to Computerization Returns," Review of Economic Studies, Wiley Blackwell, vol. 66(2), pages 423-46, April.
  8. Gul, Faruk & Stacchetti, Ennio, 1999. "Walrasian Equilibrium with Gross Substitutes," Journal of Economic Theory, Elsevier, vol. 87(1), pages 95-124, July.
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Cited by:
  1. Jeremy Fox & Natalia Lazzati, 2013. "Identification of discrete choice models for bundles and binary games," CeMMAP working papers CWP04/13, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.

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