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Connected Substitutes and Invertibility of Demand

We consider the invertibility 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 requiring uniqueness of market clearing 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. These conditions are satisfied in many standard models, have transparent economic interpretation, and allow us to show invertibility without functional form restrictions, smoothness assumptions, or strong domain restrictions.

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File URL: http://cowles.econ.yale.edu/P/cd/d18a/d1806.pdf
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Paper provided by Cowles Foundation for Research in Economics, Yale University in its series Cowles Foundation Discussion Papers with number 1806.

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Length: 29 pages
Date of creation: Jun 2011
Date of revision:
Handle: RePEc:cwl:cwldpp:1806
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Web page: http://cowles.econ.yale.edu/

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  1. Aviv Nevo, 1998. "Measuring Market Power in the Ready-to-Eat Cereal Industry," NBER Working Papers 6387, National Bureau of Economic Research, Inc.
  2. Deneckere, Raymond J & Rothschild, Michael, 1992. "Monopolistic Competition and Preference Diversity," Review of Economic Studies, Wiley Blackwell, vol. 59(2), pages 361-73, April.
  3. Novshek, William & Sonnenschein, Hugo, 1979. "Marginal Consumers and Neoclassical Demand Theory," Journal of Political Economy, University of Chicago Press, vol. 87(6), pages 1368-76, December.
  4. Dixit, Avinash K & Stiglitz, Joseph E, 1977. "Monopolistic Competition and Optimum Product Diversity," American Economic Review, American Economic Association, vol. 67(3), pages 297-308, June.
  5. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74, pages 132.
  6. Jean-Charles Rochet & Lars A. Stole, 2002. "Nonlinear Pricing with Random Participation," Review of Economic Studies, Oxford University Press, vol. 69(1), pages 277-311.
  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. Bresnahan, Timothy F., 1981. "Departures from marginal-cost pricing in the American automobile industry : Estimates for 1977-1978," Journal of Econometrics, Elsevier, vol. 17(2), pages 201-227, November.
  9. Dick, Astrid A., 2008. "Demand estimation and consumer welfare in the banking industry," Journal of Banking & Finance, Elsevier, vol. 32(8), pages 1661-1676, August.
  10. repec:cdl:agrebk:663536 is not listed on IDEAS
  11. 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.
  12. Cheng, Leonard, 1985. "Inverting systems of demand functions," Journal of Economic Theory, Elsevier, vol. 37(1), pages 202-210, October.
  13. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
  14. Matthew Gentzkow, 2007. "Valuing New Goods in a Model with Complementarity: Online Newspapers," American Economic Review, American Economic Association, vol. 97(3), pages 713-744, June.
  15. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
  16. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 217-35, June.
  17. Perloff, Jeffrey M & Salop, Steven, 1984. "Equilibrium with product differentiation," Department of Agricultural & Resource Economics, UC Berkeley, Working Paper Series qt4cq0m6s3, Department of Agricultural & Resource Economics, UC Berkeley.
  18. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
  19. 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.
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