The indeterminacy of equilibrium city formation under monopolistic competition and increasing returns

Journal of Economic Theory

Volumn 131, Issue 1, 2006, Pages 101-133

  Berliant, Marcus ^a   Kung, Fan chin ^b,c  

^a WASHINGTON UNIVERSITY   (United States)

^b INSTITUTE OF ECONOMICS   (Taiwan)

^c CITY UNIVERSITY OF HONG KONG   (Hong Kong)

Author keywords

City formation; Differentiable manifold; Increasing returns; Indeterminacy of city systems

Indexed keywords

EID: 33749992111     PISSN: 00220531     EISSN: 10957235     Source Type: Journal    
DOI: 10.1016/j.jet.2005.05.009     Document Type: Article

References (29)

1. Abdel-Rahman H. Product differentiation, monopolistic competition and city size. Reg. Sci. Urban Econ. 18 (1988) 69-86
2. Abdel-Rahman H., and Fujita M. Product variety, Marshallian externalities and city size. J. Reg. Sci. 30 (1990) 165-183
3. Berliant M., and Zenou Y. Labor differentiation and agglomeration in general equilibrium (2002), Mimeo, Washington University, University of Southampton
4. Debreu G. Economies with a finite set of equilibria. Econometrica 38 (1970) 387-392
5. Debreu G. The application to economics of differential topology and global analysis: regular differentiable economies. Amer. Econ. Rev. 66 (1976) 280-287
6. E. Dierker, Topological methods in Walrasian economics, in: Lecture Notes in Economics and Mathematical Systems, Springer, New York, NY, 1974.
7. Dixit A., and Stiglitz J. Monopolistic competition and optimum product diversity. Amer. Econ. Rev. 67 (1977) 297-308
8. Ellison G., and Fudenberg D. Knife-edge or plateau: when do market models tip?. Quart. J. Econ. 118 (2003) 1249-1278
9. Helpman E., and Krugman P. Trade Policy and Market Structure (1989), MIT Press, Cambridge, MA
10. Fujita M., and Krugman P. When is the economy monocentric?: von Thünen and Chamberlin unified. Reg. Sci. Urban Econ. 25 (1995) 505-528
11. Fujita M., Krugman P., and Mori T. On the evolution of hierarchical urban systems. Europ. Econ. Rev. 34 (1999) 209-251
12. Fujita M., Krugman P., and Venables A.J. The Spatial Economy: Cities, Regions, and International Trade (1999), MIT Press, Cambridge, MA
13. Fujita M., and Mori T. Structural stability and evolution of urban systems. Reg. Sci. Urban Econ. 27 (1997) 399-442
14. Fujita M., and Thisse J.-F. Economics of Agglomeration: Cities, Industrial Location, and Regional Growth (2002), Cambridge University Press, Cambridge
15. Guillemin V., and Pollack A. Differential Topology (1974), Prentice-Hall, Englewood Cliffs, NJ
16. Henderson J.V. The sizes and types of cities. Amer. Econ. Rev. 64 (1974) 640-656
17. Hirsch M.W. Differential Topology (1976), Springer, New York
18. Kehoe T. An index theorem for general equilibrium models with production. Econometrica 48 (1980) 1211-1232
19. Krugman P. Increasing returns and economic geography. J. Polit. Econ. 99 (1991) 483-499
20. Krugman P. First nature, second nature, and metropolitan location. J. Reg. Sci. 33 (1993) 129-144
21. Krugman P. On the number and location of cities. Europ. Econ. Rev. 37 (1993) 293-298
22. Krugman P. The Self-Organizing Economy (1996), Blackwell Publishers, Cambridge, MA
23. Mas-Colell A. Continuous and smooth consumers: approximation theorems. J. Econ. Theory 8 (1974) 305-336
24. Mas-Colell A. The Theory of General Economic Equilibrium: A Differential Approach (1985), Cambridge University Press, Cambridge, MA
25. Milnor J.W. Topology from the Differentiable Viewpoint (1965), University Press Virginia, Charlottesville, SC
26. Smale S. Global analysis and economics IIA: extension of a theorem of Debreu. J. Math. Econ. 1 (1974) 1-14
27. Smale S. Global analysis and economics IV: finiteness and stability of equilibria with general consumption sets and production. J. Math. Econ. 1 (1974) 119-127
28. Starrett D. Market allocations of location choice in a model with free mobility. J. Econ. Theory 17 (1978) 21-37
29. Wartenberg C.M. von Thünen's Isolated State (1966), Pergamon, London