Urban Economic Theory

by Fujita, Masahisa

• ISBN13: 9780521396455
• ISBN10: 052139645X
• Format: Paperback
• Copyright: 1991-02-01
• Publisher: Cambridge Univ Pr

Summary

Urban Economic Theory presents a unified theory of land use and city size using the bid rent approach. Professor Fujita examines the residential location behavior of households within a microeconomic framework in the first part of the book. In the second part of the book, the basic theory is extended to include externality factors such as local public goods, crowding and congestion, racial prejudice, and differentiated producer services.

Table of Contents

Preface	xi
Introduction	1	(10)
Nature of the book	1	(2)
Bid rent function approach	3	(1)
Scope and plan of the book	4	(7)
Part I Basic theory
Locational choice of the household	11	(39)
Introduction	11	(1)
Basic model of residential choice	11	(3)
Bid rent function of the household	14	(9)
Equilibrium location of the household	23	(8)
Extended models	31	(11)
Conclusion	42	(8)
Bibliographical notes	43	(7)
Equilibrium land use and optimal land use: single household type	50	(47)
Introduction	50	(1)
A preliminary analysis: alternative expressions of bid rent functions	51	(2)
Equilibrium land use	53	(10)
Optimal land use	63	(8)
Equilibrium versus optimal	71	(4)
Comparative statics	75	(13)
Muth model continued: capital intensity on land	88	(4)
Conclusion	92	(5)
Bibliographical notes	92	(5)
Equilibrium land use and optimal land use: multiple household types	97	(36)
Introduction	97	(1)
Well-behaved bid rent functions and lot size functions	98	(3)
Equilibrium land use	101	(12)
Optimal land use	113	(7)
Equilibrium versus optimal	120	(2)
Comparative statics	122	(7)
Conclusion	129	(4)
Bibliographical notes	129	(4)
Urban aggregates and city sizes	133	(44)
Introduction	133	(1)
Causes of urban agglomeration	134	(3)
Urban accounts	137	(3)
Population supply function and population cost function	140	(10)
Resource and transport advantages	150	(1)
Fixed costs and city sizes	151	(9)
Production scale economies and city sizes	160	(9)
Conclusion	169	(8)
Bibliographical notes	169	(8)
Part II Extensions with externalities
Local public goods	177	(49)
Introduction	177	(2)
A preliminary analysis: the externality model of residential choice	179	(5)
Pure city goods	184	(8)
Congestible city goods	192	(8)
Neighborhood goods	200	(10)
Superneighborhood goods	210	(8)
Summary and extensions	218	(8)
Bibliographical notes	219	(7)
Neighborhood externalities and traffic congestion	226	(45)
Introduction	226	(1)
Crowding externalities and density zoning	227	(16)
Racial externalities	243	(15)
Traffic congestion and land use for transportation	258	(8)
Conclusion	266	(5)
Bibliographical notes	266	(5)
External economies, product variety, and city sizes	271	(79)
Introduction	271	(2)
Marshallian external economies	273	(11)
Product variety and monopolistic competition	284	(9)
Optimal production processes and first-best policies	293	(9)
Conclusion	302	(5)
Bibliographical notes	303	(4)
Appendixes
A Basic mathematics and consumer theory	307	(8)
A.1 Concave and convex functions	307	(2)
A.2 Envelope theorem	309	(2)
A.3 Basic results from consumer theory	311	(4)
B Transport cost and land rent	315	(7)
Bibliographic notes	319	(3)
C Mathematical notes to the text	322	(28)
C.1 Calculation for Example 2.1	322	(1)
C.2 Derivation of optimality conditions for the HS model (Section 3.4)	322	(3)
C.3 Proof of Property 3.3	325	(3)
C.4 Proof of relation (3.83)	328	(1)
C.5 Proof of Property 3.4	329	(2)
C.6 Proofs of Properties 4.10 and 4.11	331	(6)
C.7 Derivation of optimality conditions for the HS model (Section 4.4)	337	(1)
C.8 Proof of relation (4.59)	338	(1)
C.9 Proof of Property 4.13	339	(1)
C.10 Proofs of Properties 5.5 and 5.6	340	(1)
C.11 Proof of Property 5.8	341	(1)
C.12 Comparison of equilibrium rent curves (Section 7.3.1)	342	(1)
C.13 Derivation of the optimality conditions for the HST model	343	(4)
C.14 Calculation for comparative statics of Table 8.1	347	(3)
References	350	(10)
Author index	360	(2)
Subject Index	362