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Hedonism vs. Hihilism: No Arbitrage and Tests of Urban Economic Models

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Author Info
Berliant, Marcus
McMillen, Daniel P.

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Abstract

We present two notions of "no arbitrage" in urban economic models and show that there is no model satisfying both. The standard hedonic housing model of urban economics and its generalizations are consistent with the first of these, but inconsistent with the second. We present a model consistent with the second notion of "no arbitrage" and a continuum of models consistent with neither notion that are observationally equivalent to the standard model, even if the utility function of consumers is known. They generate the same equilibrium allocations and values of bundles purchased in equilibrium, but the equilibrium price functions differ on bundles not purchased in equilibrium. Only one of these is the standard model. Thus, the available tests of the standard model cannot provide much evidence of its validity.

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File URL: http://www.hss.caltech.edu/SSPapers/wp1166.pdf
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Paper provided by California Institute of Technology, Division of the Humanities and Social Sciences in its series Working Papers with number 1166.

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Length: 16 pages
Date of creation: May 2003
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Publication status: Published:
Handle: RePEc:clt:sswopa:1166

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Postal: Working Paper Assistant, Division of the Humanities and Social Sciences, 228-77, Caltech, Pasadena CA 91125
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Keywords: monocentic city; hedonic models; no arbitrage;

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  1. Deacon, Robert T & Sonstelie, Jon, 1985. "Rationing by Waiting and the Value of Time: Results from a Natural Experiment," Journal of Political Economy, University of Chicago Press, vol. 93(4), pages 627-47, August. [Downloadable!] (restricted)
  2. Scotchmer, Suzanne, 1986. "The short-run and long-run benefits of environmental improvement," Journal of Public Economics, Elsevier, vol. 30(1), pages 61-81, June. [Downloadable!] (restricted)
  3. Berliant, Marcus & Papageorgiou, Yorgos Y. & Wang, Ping, 1990. "On welfare theory and urban economics," Regional Science and Urban Economics, Elsevier, vol. 20(2), pages 245-261, September. [Downloadable!] (restricted)
  4. Coulson, N. Edward, 1989. "The empirical content of the linearity-as-repackaging hypothesis," Journal of Urban Economics, Elsevier, vol. 25(3), pages 295-309, May. [Downloadable!] (restricted)
  5. Kau, James B. & Sirmans, C. F., 1979. "Urban land value functions and the price elasticity of demand for housing," Journal of Urban Economics, Elsevier, vol. 6(1), pages 112-121, January. [Downloadable!] (restricted)
  6. Rosen, Sherwin, 1974. "Hedonic Prices and Implicit Markets: Product Differentiation in Pure Competition," Journal of Political Economy, University of Chicago Press, vol. 82(1), pages 34-55, Jan.-Feb.. [Downloadable!] (restricted)
  7. Bryan Ellickson & Birgit Grodal & Suzanne Scotchmer & William R. Zame, 1999. "Clubs and the Market," Econometrica, Econometric Society, vol. 67(5), pages 1185-1218, September.
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  8. McMillen, Daniel P., 2003. "The return of centralization to Chicago: using repeat sales to identify changes in house price distance gradients," Regional Science and Urban Economics, Elsevier, vol. 33(3), pages 287-304, May. [Downloadable!] (restricted)
  9. McMillen, Daniel P., 1990. "Consistent estimation of the urban land value function," Journal of Urban Economics, Elsevier, vol. 27(3), pages 285-293, May. [Downloadable!] (restricted)
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