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When worlds collide: Different comparative static predictions of continuous and discrete agent models with land

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  • Berliant, Marcus
  • Sabarwal, Tarun

Abstract

This paper presents a difference in the comparative statics of general equilibrium models with land when there are finitely many agents, and when there is a continuum of agents. Restricting attention to quasi-linear and Cobb-Douglas utility, it is shown that with finitely many agents, an increase in the (marginal) commuting cost increases land rent per unit (that is, land rent averaged over the consumer's equilibrium parcel) paid by the consumer located at each fixed distance from the central business district. In contrast, with a continuum of agents, average land rent goes up for consumers at each fixed distance close to the central business district, is constant at some intermediate distance, and decreases for locations farther away. Therefore, there is a qualitative difference between the two types of models, and this difference is potentially testable.

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Bibliographic Info

Article provided by Elsevier in its journal Regional Science and Urban Economics.

Volume (Year): 38 (2008)
Issue (Month): 5 (September)
Pages: 438-444

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Handle: RePEc:eee:regeco:v:38:y:2008:i:5:p:438-444

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  1. Berliant, Marcus & Fujita, Masahisa, 1992. "Alonso's Discrete Population Model of Land Use: Efficient Allocations and Competitive Equilibria," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 33(3), pages 535-66, August.
  2. Kamecke,Ulrich, 1987. "Mean-City a consistent approximation of bid rent equilibria," Discussion Paper Serie A 138, University of Bonn, Germany.
  3. Fujita,Masahisa, 1991. "Urban Economic Theory," Cambridge Books, Cambridge University Press, number 9780521396455, April.
  4. Marcus Berliant & Courtney LaFountain, 2004. "Space in General Equilibrium," Urban/Regional 0408002, EconWPA, revised 27 Jun 2005.
  5. Raa, M.H. ten & Berliant, M., 1991. "On the continuum approach of spatial and some local public goods or product differentiation models," Open Access publications from Tilburg University urn:nbn:nl:ui:12-381947, Tilburg University.
  6. Asami, Y. & Fujita, M. & Smith, T. E., 1991. "On the foundations of land use theory : Discrete versus continuous populations," Regional Science and Urban Economics, Elsevier, vol. 20(4), pages 473-508, February.
  7. Papageorgiou, Yorgos Y. & Pines, David, 1990. "The logical foundations of urban economics are consistent," Journal of Economic Theory, Elsevier, vol. 50(1), pages 37-53, February.
  8. repec:cup:cbooks:9780521805247 is not listed on IDEAS
  9. repec:cup:cbooks:9780521801386 is not listed on IDEAS
  10. Berliant, Marcus & ten Raa, Thijs, 1991. "On the continuum approach of spatial and some local public goods or product differentiation models: Some problems," Journal of Economic Theory, Elsevier, vol. 55(1), pages 95-120, October.
  11. Robert E. Lucas & Esteban Rossi-Hansberg, 2002. "On the Internal Structure of Cities," Econometrica, Econometric Society, vol. 70(4), pages 1445-1476, July.
  12. Berliant, Marcus, 1985. "Equilibrium models with land : A criticism and an alternative," Regional Science and Urban Economics, Elsevier, vol. 15(2), pages 325-340, June.
  13. Berliant, Marcus, 1991. "Comments on: 'On the foundations of land use theory: Discrete versus continuous populations' by Y. Asami, M. Fujita and T.E. Smith," Regional Science and Urban Economics, Elsevier, vol. 21(4), pages 639-645, December.
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