An economic theory of cities : spatial models with capital, knowledge, and structures /
Wei-Bin Zhang
- xi, 220 pages : illustrations ; 25 cm
- Lecture notes in economics and mathematical systems, 512 0075-8450 ; .
Includes bibliographical references (pages [204]-216) and index
1 Introduction.- 1.1 Von Thunen's Theory.- 1.2 Classical Location Theory.- 1.3 The Alonso Model and its Extensions.- 1.4 Imperfect Competition.- 1.5 Spatial Agglomeration.- 1.6 Spatial Structures with Population and Knowledge.- 1.7 City Systems.- 1.8 Nonlinear Spatial Economic Dynamics.- 1.9 The Purpose and Structure of the Book.- 2 Urban Growth with Housing and Spatial Structure.- 2.1 Urban Growth with Housing Production.- 2.2 The Dynamics in the Terms of K(t).- 2.3 Equilibrium and Stability.- 2.4 The Impact of the Population on Economic Geography.- 2.5 The Propensity to Hold Wealth and the Equilibrium Structure.- 2.6 On Extensions of the Basic Model.- A.2.1 Proving Proposition 2.1.- 3 Spatial Pattern Formation with Capital and Knowledge.- 3.1 The Urban Dynamics.- 3.2 Equilibrium and Stability.- 3.3 The Knowledge Accumulation Parameters.- 3.4 The Impact of Government Intervention in Research.- 3.5 The Working Conditions of Scientists.- 3.6 On Knowledge Creation and Spatial Economic Evolution.- A.3.1 Expressing the Variables in Terms of K and Z.- A.3.2 The Proof of Proposition 3.2.1.- 4 Urban Structure with Growth and Sexual Division of Labor.- 4.1 Growth with Sexual Division of Labor and Location.- 4.2 The Spatial Equilibrium Structure.- 4.3 Sexual Productivity Differences and Economic Structure.- 4.4 Remarks.- A.4.1 Proving Proposition 4.2.1.- 5 Dynamic Urban Pattern Formation with Heterogeneous Population.- 5.1 The Urban Growth with Two Groups.- 5.2 Separation of the Groups' Residential Location.- 5.3 Economic Equilibrium and Stability.- 5.4 The Impact of Savings Rates.- 5.5 The Impact of Human Capital.- 5.6 On Urban Evolution with Multiple Groups.- A.5.1 Proving Lemma 5.3.1.- A.5.2 Proving Lemma 5.3.2.- 6 Two-Group Spatial Structures with Capital and Knowledge.- 6.1 The Spatial Economy with Heterogeneous Population.- 6.2 Temporary Urban Pattern.- 6.3 Long-Run Equilibria and Stability Conditions.- 6.4 The Impact of Creativity.- 6.5 The Impact of the Population.- 6.6 On Urban Evolution with Heterogeneous Population.- A.6.1 Proving Lemma 6.2.2.- A.6.2 Proving Proposition 6.3.1.- 7 Urban Growth and Pattern Formation with Preference Change.- 7.1 The Model.- 7.2 Properties of the Dynamic System.- 7.3 Human Capital and the Economic Structure.- 7.4 On Preference Change and Urban Pattern.- A.7.1 Proving Lemma 7.2.1.- 8 Urban-Rural Division of Labor with Spatial Amenities.- 8.1 The Spatial Structure with Urban-Rural Areas.- 8.2 Spatial Equilibria.- 8.3 Amenities and Economic Geography.- 8.4 On Spatial Equilibrium Structure.- A.8.1 Proving Proposition 8.2.1.- 9 Spatial Equilibrium with Multiple Cities.- 9.1 The Model.- 9.2 Urban Equilibria.- 9.3 The Impact of Amenities upon the Urban Structure.- 9.4 Concluding Remarks.- A.9.1 Proving Proposition 9.2.1.- 10 Growth with International Trade and Urban Pattern Formation.- 10.1 The Model.- 10.2 The Dynamic Properties of the Trade System.- 10.3 Country 1's Propensity to Own Wealth.- 10.4 Country Ps Working Efficiency.- 10.5 On International Trade and Spatial Structures.- A.10.1 Proving Proposition 10.2.1.- A.10.2 Proving Proposition 10.2.2.- 11 Nonlinear Dynamics of a Multi-City System.- 11.1 An Isolated Island Economy.- 11.2 Economic Geographic Cycles in the Isolated Island Economy.- 11.3 Aperiodic Oscillations in the J-Island Economy.- 11.4 On Spatial Chaos.- A.11.1 The Dynamics of Capital and the Population.- 12 Further Issues on Cities.- Author Index.
My recent books, Capital and Knowledge (Zhang, 1999) and A TheoryofInternational Trade (Zhang, 2000) show how separate economic theories such as the Marxian economics, the Keynesian economics, the general equilibrium theory, the neoclassical growth theory, and the neoclassical trade theory can be examined within a single theoretical framework.