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Welfare Analysis of the Number and Locations of Local Public Facilities

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Author Info

  • Marcus Berliant

    (Washington University in St. Louis)

  • Shin-Kun Peng

    (Academia Sinica & National Taiwan University)

  • Ping Wang

    (Washington University in St. Louis & NBER)

Abstract

We develop a model with a finite number of households and congestable local public goods where the level of provision, the number of facilities and their locations are all endogenously determined. We prove that an equal-treatment identical-provision second-best optimum exists, 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 may be concentrated (single site) or dispersed (multiple sites), depending on congestability, commuting cost and the household preference parameters.

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File URL: http://128.118.178.162/eps/pe/papers/0407/0407015.pdf
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Bibliographic Info

Paper provided by EconWPA in its series Public Economics with number 0407015.

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Length: 39 pages
Date of creation: 29 Jul 2004
Date of revision: 20 Jul 2005
Handle: RePEc:wpa:wuwppe:0407015

Note: Type of Document - pdf; pages: 39
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Web page: http://128.118.178.162

Related research

Keywords: Congestable Local Public Goods; Optimal Public Facility Configurations;

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References

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  1. Marcus Berliant & Shin-Kun Peng & Ping Wang, 2004. "Welfare Analysis of the Number and Locations of Local Public Facilities," IEAS Working Paper : academic research 04-A011, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  2. Hochman, Oded, 1982. "Congestable local public goods in an urban setting," Journal of Urban Economics, Elsevier, vol. 11(3), pages 290-310, May.
  3. Berliant, M. & Fujita, M., 1990. "Alonso'S Discrete Population Model Of Land Use: Efficient Allocations And Competitive Equilibria," RCER Working Papers 217, University of Rochester - Center for Economic Research (RCER).
  4. Raa, M.H. ten & Berliant, M., 1994. "Regional science: The state of the art," Open Access publications from Tilburg University urn:nbn:nl:ui:12-381939, Tilburg University.
  5. 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.
  6. Arnott, Richard J & Stiglitz, Joseph E, 1979. "Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size," The Quarterly Journal of Economics, MIT Press, vol. 93(4), pages 471-500, November.
  7. Wang, Ping, 1990. "Competitive equilibrium formation of marketplaces with heterogeneous consumers," Regional Science and Urban Economics, Elsevier, vol. 20(3), pages 295-304, November.
  8. Bryan Ellickson and Birgit Grodal, Suzanne Scotchmer, and William R.Zame., 1997. "Clubs and the Market: Large Finite Economies," Economics Working Papers 97-255, University of California at Berkeley.
  9. 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.
  10. THISSE, Jacques & WILDASIN, David, 1990. "Public facility location and urban spatial structure. Equilibrium and welfare analysis," CORE Discussion Papers 1990025, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).
  11. 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.
  12. 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.
  13. Fujita, Masahisa, 1986. "Optimal location of public facilities : Area dominance approach," Regional Science and Urban Economics, Elsevier, vol. 16(2), pages 241-268, May.
  14. 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.
  15. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
  16. 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.
  17. 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.
  18. 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.
  19. Hochman, O. & Pines, D., 1997. "On the Agglomeration of Non-Residential Activities in an Urban Area," Papers 34-97, Tel Aviv.
  20. Shin-Kun Peng, 1996. "The location of governmental facilities and equilibrium urban configuration," The Annals of Regional Science, Springer, vol. 30(3), pages 247-272.
  21. 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.
  22. 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.
  23. 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.
  24. Ellickson, Bryan, 1979. "Competitive equilibrium with local public goods," Journal of Economic Theory, Elsevier, vol. 21(1), pages 46-61, August.
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Citations

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Cited by:
  1. Marcus Berliant & Shin-Kun Peng & Ping Wang, 2004. "Welfare Analysis of the Number and Locations of Local Public Facilities," IEAS Working Paper : academic research 04-A011, Institute of Economics, Academia Sinica, Taipei, Taiwan.
  2. Tajibaeva, Liaila & Haight, Robert G. & Polasky, Stephen, 2008. "A discrete-space urban model with environmental amenities," Resource and Energy Economics, Elsevier, vol. 30(2), pages 170-196, May.
  3. Chen, Been-Lon & Peng, Shin-Kun & Wang, Ping, 2009. "Intergenerational human capital evolution, local public good preferences, and stratification," Journal of Economic Dynamics and Control, Elsevier, vol. 33(3), pages 745-757, March.
  4. Shin-Kun Peng & Ping Wang, 2003. "Sorting by Foot: Consumable Travel-for Local Public Good and Equilibrium Stratification," IEAS Working Paper : academic research 03-A008, Institute of Economics, Academia Sinica, Taipei, Taiwan.

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