Understanding the Internal Structure of Self-Organizing Cities
Lucas and Rossi-Hansberg (2002) and Fujita and Ogawa (1982, 1989) develop urban models in which economic activity self-organizes due to spillovers in production. However, Fujita and Ogawa (1982, 1989) show that rents and employment density are flat or falling as the city center is approached, while in the simulations of Lucas and Rossi-Hansberg (2002) rents rise at an increasing rate towards the center suggesting a concentration of employment near the center. For the Lucas and Rossi-Hansberg model, we prove that land rents and density must be flat or falling near the center. We explain how using a polar coordinate system when approximating a two-dimensional integral can create systematic imprecision in their simulations, and then present revised simulations. The proofs and simulations suggest that in urban models where economic activity self-organizes firms do not unduly cluster at the center of a central business district even in monocentric equilibria. JEL Classification: R13, R14, R30 Key words: non-monocentric cities, rent gradient, employment density, polar coordinate simulations
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- Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2012.
"The Economics of Density: Evidence from the Berlin Wall,"
CEP Discussion Papers
dp1154, Centre for Economic Performance, LSE.
- Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2012. "The Economics of Density: Evidence from the Berlin Wall," SERC Discussion Papers 0118, Spatial Economics Research Centre, LSE.
- Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel M. Sturm & Nikolaus Wolf, 2014. "The Economics of Density: Evidence from the Berlin Wall," NBER Working Papers 20354, National Bureau of Economic Research, Inc.
- Gabriel M. Ahlfeldt & Stephen J. Redding & Daniel Sturm & Nikolaus Wolf, 2012. "The economics of density: evidence from the Berlin wall," LSE Research Online Documents on Economics 58600, London School of Economics and Political Science, LSE Library.
- Sturm, Daniel & Ahlfeldt, Gabriel & Redding, Stephen & Wolf, Nikolaus, 2013. "The Economics of Density: Evidence from the Berlin Wall," Annual Conference 2013 (Duesseldorf): Competition Policy and Regulation in a Global Economic Order 79873, Verein für Socialpolitik / German Economic Association.
- Ahlfeldt, Gabriel & Redding, Stephen J. & Sturm, Daniel M & Wolf, Nikolaus, 2014. "The Economics of Density: Evidence from the Berlin Wall," CEPR Discussion Papers 10097, C.E.P.R. Discussion Papers.
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