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Connected Substitutes and Invertibility of Demand

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  • Steven Berry
  • Amit Gandhi
  • Philip A. Haile

Abstract

We consider the invertibility (injectivity) of a nonparametric nonseparable demand system. Invertibility of demand is important in several contexts, including identification of demand, estimation of demand, testing of revealed preference, and economic theory exploiting existence of an inverse demand function or (in an exchange economy) uniqueness of Walrasian equilibrium prices. We introduce the notion of "connected substitutes" and show that this structure is sufficient for invertibility. The connected substitutes conditions require weak substitution between all goods and sufficient strict substitution to necessitate treating them in a single demand system. The connected substitutes conditions have transparent economic interpretation, are easily checked, and are satisfied in many standard models. They need only hold under some transformation of demand and can accommodate many models in which goods are complements. They allow one to show invertibility without strict gross substitutes, functional form restrictions, smoothness assumptions, or strong domain restrictions. When the restriction to weak substitutes is maintained, our sufficient conditions are also "nearly necessary" for even local invertibility.

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Paper provided by David K. Levine in its series Levine's Working Paper Archive with number 786969000000000545.

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Date of creation: 11 Sep 2012
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Handle: RePEc:cla:levarc:786969000000000545

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  1. Steven T. Berry & Joel Waldfogel, 1999. "Free Entry and Social Inefficiency in Radio Broadcasting," RAND Journal of Economics, The RAND Corporation, vol. 30(3), pages 397-420, Autumn.
  2. Nevo, Aviv, 1999. "Measuring Market Power in the Ready-to-Eat Cereal Industry," Competition Policy Center, Working Paper Series, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley qt7cm5p858, Competition Policy Center, Institute for Business and Economic Research, UC Berkeley.
  3. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, Econometric Society, vol. 63(4), pages 841-90, July.
  4. repec:cdl:agrebk:663536 is not listed on IDEAS
  5. Rochet, Jean-Charles & Stole, Lars A, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 69(1), pages 277-311, January.
  6. Dick, Astrid A., 2008. "Demand estimation and consumer welfare in the banking industry," Journal of Banking & Finance, Elsevier, Elsevier, vol. 32(8), pages 1661-1676, August.
  7. Walter Beckert & Richard Blundell, 2008. "Heterogeneity and the Non-Parametric Analysis of Consumer Choice: Conditions for Invertibility," Review of Economic Studies, Oxford University Press, vol. 75(4), pages 1069-1080.
  8. Raymond Deneckere & Michael Rothschild, 1986. "Monopolistic Competition and Preference Diversity," Discussion Papers, Northwestern University, Center for Mathematical Studies in Economics and Management Science 684, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  9. Aviv Nevo, 2000. "Mergers with Differentiated Products: The Case of the Ready-to-Eat Cereal Industry," RAND Journal of Economics, The RAND Corporation, vol. 31(3), pages 395-421, Autumn.
  10. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, Elsevier, vol. 18(2), pages 301-317, August.
  11. Bresnahan, Timothy F., 1981. "Departures from marginal-cost pricing in the American automobile industry : Estimates for 1977-1978," Journal of Econometrics, Elsevier, Elsevier, vol. 17(2), pages 201-227, November.
  12. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, Wiley Blackwell, vol. 43(2), pages 217-35, June.
  13. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 74, pages 132.
  14. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, American Economic Association, vol. 67(3), pages 297-308, June.
  15. Cheng, Leonard, 1985. "Inverting systems of demand functions," Journal of Economic Theory, Elsevier, Elsevier, vol. 37(1), pages 202-210, October.
  16. Novshek, William & Sonnenschein, Hugo, 1979. "Marginal Consumers and Neoclassical Demand Theory," Journal of Political Economy, University of Chicago Press, University of Chicago Press, vol. 87(6), pages 1368-76, December.
  17. Matthew Gentzkow, 2007. "Valuing New Goods in a Model with Complementarity: Online Newspapers," American Economic Review, American Economic Association, American Economic Association, vol. 97(3), pages 713-744, June.
  18. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, RAND Corporation, vol. 37(4), pages 964-982, December.
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Cited by:
  1. REYNAERT, Mathias & VERBOVEN, Frank, 2012. "Improving the performance of random coefficients demand models: The role of optimal instruments," Working Papers 2012011, University of Antwerp, Faculty of Applied Economics.

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