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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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Order Information: Postal: Cowles Foundation, Yale University, Box 208281, New Haven, CT 06520-8281 USA

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  1. 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.
  2. Perloff, Jeffrey M & Salop, Steven C, 1985. "Equilibrium with Product Differentiation," Review of Economic Studies, Wiley Blackwell, vol. 52(1), pages 107-20, January.
  3. Mussa, Michael & Rosen, Sherwin, 1978. "Monopoly and product quality," Journal of Economic Theory, Elsevier, vol. 18(2), pages 301-317, August.
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  6. Nevo, Aviv, 1998. "Measuring Market Power in the Ready-To-Eat Cereal Industry," Food Marketing Policy Center Research Reports 037, University of Connecticut, Department of Agricultural and Resource Economics, Charles J. Zwick Center for Food and Resource Policy.
  7. Walter Beckert & Richard Blundell, 2005. "Heterogeneity and the nonparametric analysis of consumer choice: conditions for invertibility," CeMMAP working papers CWP09/05, Centre for Microdata Methods and Practice, Institute for Fiscal Studies.
  8. repec:cdl:agrebk:663536 is not listed on IDEAS
  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. 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.
  11. Berry, Steven & Levinsohn, James & Pakes, Ariel, 1995. "Automobile Prices in Market Equilibrium," Econometrica, Econometric Society, vol. 63(4), pages 841-90, July.
  12. 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.
  13. Raymond Deneckere & Michael Rothschild, 1986. "Monopolistic Competition and Preference Diversity," Discussion Papers 684, Northwestern University, Center for Mathematical Studies in Economics and Management Science.
  14. Peter Davis, 2006. "Spatial competition in retail markets: movie theaters," RAND Journal of Economics, RAND Corporation, vol. 37(4), pages 964-982, December.
  15. Spence, Michael, 1976. "Product Selection, Fixed Costs, and Monopolistic Competition," Review of Economic Studies, Wiley Blackwell, vol. 43(2), pages 217-35, June.
  16. 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.
  17. Kelvin J. Lancaster, 1966. "A New Approach to Consumer Theory," Journal of Political Economy, University of Chicago Press, vol. 74, pages 132.
  18. Cheng, Leonard, 1985. "Inverting systems of demand functions," Journal of Economic Theory, Elsevier, vol. 37(1), pages 202-210, October.
  19. 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.
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