Abstract
We begin with a simple model which we use to discuss a competitive allocation within a city of identical individuals. In this chapter, decentralisation is complete: everyone, within the framework of existing property rights, maximises either utility or profit. The urban infrastructure, which includes transportation, improved land and a public good, is determined exogenously. We investigate the characteristics of the allocation. In chapter three, we examine how these characteristics are affected by exogenous factors. In later chapters, we extend the model in several directions and we revise some of the results presented here.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
W. Alonso, 1964, Location and Land Use. Harvard University Press, Cambridge, Mass.
A. Anas, R.J. Arnott and K.A. Small, forthcoming, Urban Spatial Structure. Journal of Economic Literature.
A. Anas and J.I. Kim, 1992, Income Distribution and the Residential Density Gradient. Journal of Urban Economics 31, 164–180.
R.J. Arnott and J.E. Stiglitz, 1979, Aggregate Land Rents, Expenditure on Public Goods, and Optimal City Size. Quarterly Journal of Economics 93, 471–500.
R.J. Arnott and J.E. Stiglitz, 1981, Aggregate Land Rent and Aggregate Transport Cost. Economic Journal 91, 331–347.
O. Ashenfelter, 1976, On the Interpretation of Urban Density Functions. Journal of Urban Economics 3, 82–84.
M. Berliant, 1985, Equilibrium Models with Land: A Criticism and an Alternative. Regional Science and Urban Economics 15, 325–340.
B.J.L. Berry, J.W. Simmons and R.J. Tennant, 1963, Urban Population Densities: Structure and Change. Geographical Review 53, 389–405.
H. Bleicher, 1892, Statistische Beschreibung Der Staadt Frankfurt Am Main Und Ihre Bevölkerung. Frankfurt Am Main.
J.K. Brueckner, 1982, A Note on Sufficient Conditions for Negative Exponential Population Density. Journal of Regional Science 22, 353–359.
E. Casetti, 1969, Alternative Urban Population Density Models: An Analytical Comparison of Their Validity Range. In A.J. Scott (ed.), Studies in Regional Science. Pion Limited, London.
C. Clark, 1951, Urban Population Densities. Journal of the Royal Statistical Society 114 (Series A), 490–496.
C. Clark, 1967, Population Growth and Land Use. St Martin’s Press, New York.
M. Fujita and T. Smith, 1987, Existence of Continuous Residential Land-Use Equilibria. Regional Science and Urban Economics 17, 549–594.
R.M. Haig, 1926, Toward an Understanding of the Metropolis. Quarterly Journal of Economics 40, 421–423.
K. Inada, 1963, On a Two-Sector Model of Economic Growth: Comments and a Generalization. Review of Economic Studies 30, 119–127.
Y. Kanemoto, 1980, Theories of Urban Externalities. North-Holland, Amsterdam.
C. Kramer, 1955, Population Density Patterns. CATS Research News 2, 3–10.
R. Latham and M. Yeates, 1970, Population Density in Metropolitan Toronto. Geographical Analysis 2, 177–185.
J.R. Markusen and D.T. Scheffman, 1978, Ownership Concentration and Market Power in Urban Land Markets. Review of Economic Studies 45, 519–526.
A. Marshall, 1890, Principles of Economics. Reprinted by MacMillan, London, 1946.
E.S. Mills, 1969, The Value of Urban Land, in H.S. Perloff (ed.) The Quality of Urban Environment. The Johns Hopkins University Press, Baltimore.
E.S. Mills, 1972, Studies in the Structure of the Urban Economy. The Johns Hopkins University Press, Baltimore.
E.S. Mills and J.P. Tan, 1980, A Comparison of Urban Population Density Functions in Developed and Developing Countries. Urban Studies 17, 313–321.
H. Mohring, 1961, Land Values and the Measurement of Highway Benefits. Journal of Political Economy 69, 236–249.
R. F. Muth, 1961, The Spatial Structure of the Housing Market, Papers and Proceedings of the Regional Science Association 7, 207–220.
R.F. Muth, 1969, Cities and Housing. The University of Chicago Press, Chicago.
B.E. Newling, 1966, Urban Growth and Spatial Structure: Mathematical Models and Empirical Evidence. The Geographical Review 56, 213–225.
J.H. Niedercorn, 1971, A Negative Exponential Model of Urban Land Use Densities and Its Implications for Metropolitan Development. Journal of Regional Science 11, 317–326.
Y. Oron, D. Pines and E. Sheshinski, 1973, Optimum Versus Equilibrium Land Use Pattern and Congestion Toll. Bell Journal of Economics and Management Science 4, 619–636.
Y.Y. Papageorgiou and D. Pines, 1989, The Exponential Density Function: First Principles, Comparative Statics and Empirical Evidence. Journal of Urban Economics 26, 264–268.
Y.Y. Papageorgiou and D. Pines, 1990, The Logical Foundations of Urban Economics Are Consistent. Journal of Economic Theory 50, 37–53.
D. Pines and E. Sadka, 1986, A Comparative Statics Analysis of a Fully Closed City. Journal of Urban Economics 20, 1–20.
R.M. Solow, 1973, Congestion Cost and the Use of Land for Streets. Bell Journal of Economics and Management Science 4, 602–618.
J. Stewart, 1947, Suggested Principles of Social Physics. Science, 179–180.
W.C. Wheaton, 1974, A Comparative Statics Analysis of Urban Spatial Structure. Journal of Economic Theory 9, 223–237.
L.J. White, 1977, A Further Note on Density Functions and Average Distance from the Center. Journal of Urban Economics 4, 218–229.
L. Wingo, Jr., 1961, Transportation and Urban Land. Resources for the Future, Washington D.C.
Author information
Authors and Affiliations
Rights and permissions
Copyright information
© 1999 Springer Science+Business Media New York
About this chapter
Cite this chapter
Papageorgiou, Y.Y., Pines, D. (1999). Urban Equilibrium. In: An Essay on Urban Economic Theory. Advances in Urban and Regional Economics, vol 1. Springer, Boston, MA. https://doi.org/10.1007/978-1-4615-4947-5_2
Download citation
DOI: https://doi.org/10.1007/978-1-4615-4947-5_2
Publisher Name: Springer, Boston, MA
Print ISBN: 978-1-4613-7245-5
Online ISBN: 978-1-4615-4947-5
eBook Packages: Springer Book Archive