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Welfare analysis of the number and locations of local public facilities

  • Berliant, Marcus
  • Peng, Shin-Kun
  • Wang, Ping

We develop a discrete or finite household model with congestable local public goods where the level of provision, the number of facilities and their locations are all endogenously determined in a purely normative context. We prove the existence of an equal-treatment identical-provision second best optimum, where all households are required to reach the same utility level, the provision of local public good is required to be the same at all facilities, and all facilities must serve the same number of consumers. Such an optimal public facility configuration need not be geographically centralized even if there is only a single public facility site. Moreover, the optimal public facility configuration could be either concentrated (single site) or dispersed (multiple sites), depending crucially on the degree of congestability and the household valuation of local public goods as well as the unit transportation cost.

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

Volume (Year): 36 (2006)
Issue (Month): 2 (March)
Pages: 207-226

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Handle: RePEc:eee:regeco:v:36:y:2006:i:2:p:207-226
Contact details of provider: Web page: http://www.elsevier.com/locate/regec

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  1. Marcus Berliant & Shin-kun Peng & Ping Wang, 2000. "Welfare Analysis of the Number and Locations of Local Public Facilities," Vanderbilt University Department of Economics Working Papers 0035, Vanderbilt University Department of Economics.
  2. Thisse, Jacques-Francois & Wildasin, David E., 1992. "Public facility location and urban spatial structure : Equilibrium and welfare analysis," Journal of Public Economics, Elsevier, vol. 48(1), pages 83-118, June.
  3. Ellickson, Bryan & Grodal, Birgit & Scotchmer, Suzanne & Zane, William R., 1997. "clubs and the Market: Large Finite Economies," Department of Economics, Working Paper Series qt10k1b44j, Department of Economics, Institute for Business and Economic Research, UC Berkeley.
  4. 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.
  5. Scotchmer, Suzanne, 1986. "Local public goods in an equilibrium : How pecuniarv externalities matter," Regional Science and Urban Economics, Elsevier, vol. 16(4), pages 463-481, November.
  6. Bergstrom, Theodore C & Cornes, Richard C, 1983. "Independence of Allocative Efficiency from Distribution in the Theory of Public Goods," Econometrica, Econometric Society, vol. 51(6), pages 1753-65, November.
  7. Conley, John P. & Wooders, Myrna H., 2001. "Tiebout Economies with Differential Genetic Types and Endogenously Chosen Crowding Characteristics," Journal of Economic Theory, Elsevier, vol. 98(2), pages 261-294, June.
  8. Wildasin, David E., 1987. "Theoretical analysis of local public economics," Handbook of Regional and Urban Economics, in: E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 2, chapter 29, pages 1131-1178 Elsevier.
  9. Shin-Kun Peng, 1996. "The location of governmental facilities and equilibrium urban configuration," The Annals of Regional Science, Springer;Western Regional Science Association, vol. 30(3), pages 247-272.
  10. 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.
  11. Revelle, Charles, 1987. "Urban public facility location," Handbook of Regional and Urban Economics, in: E. S. Mills (ed.), Handbook of Regional and Urban Economics, edition 1, volume 2, chapter 27, pages 1053-1096 Elsevier.
  12. Tjalling C. Koopmans & Martin J. Beckmann, 1955. "Assignment Problems and the Location of Economic Activities," Cowles Foundation Discussion Papers 4, Cowles Foundation for Research in Economics, Yale University.
  13. 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.
  14. Richard J. Arnott & Joseph E. Stiglitz, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, Oxford University Press, vol. 93(4), pages 471-500.
  15. Hochman, Oded, 1982. "Congestable local public goods in an urban setting," Journal of Urban Economics, Elsevier, vol. 11(3), pages 290-310, May.
  16. Fujita, Masahisa, 1986. "Optimal location of public facilities : Area dominance approach," Regional Science and Urban Economics, Elsevier, vol. 16(2), pages 241-268, May.
  17. Berliant, Marcus & ten Raa, Thijs, 1994. "Regional science: The state of the art," Regional Science and Urban Economics, Elsevier, vol. 24(5), pages 631-647, October.
  18. 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.
  19. 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.
  20. Brueckner, Jan K., 1979. "Equilibrium in a system of communities with local public goods : A diagrammatic exposition," Economics Letters, Elsevier, vol. 2(4), pages 387-393.
  21. Berliant, Marcus & Wang, Ping, 1993. "Endogenous formation of a city without agglomerative externalities or market imperfections : Marketplaces in a regional economy," Regional Science and Urban Economics, Elsevier, vol. 23(1), pages 121-144, March.
  22. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
  23. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
  24. Wang, Ping, 1990. "Competitive equilibrium formation of marketplaces with heterogeneous consumers," Regional Science and Urban Economics, Elsevier, vol. 20(3), pages 295-304, November.
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