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Dynamic Analysis of the Urban Economy

1st Edition - January 1, 1981

Author: Takahiro Miyao

eBook ISBN:

9 7 8 - 0 - 3 2 3 - 1 6 0 2 6 - 1

Dynamic Analysis of the Urban Economy provides a dynamic analysis of business and residential economic activities in urban areas. This book is organized into four parts… Read more

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Dynamic Analysis of the Urban Economy provides a dynamic analysis of business and residential economic activities in urban areas. This book is organized into four parts encompassing 13 chapters that cover some insights into the dynamic processes of complex urban relationships through construction and analysis of simple dynamic models of the urban economy, as well as the development of the so-called ""dynamic urban economics"" within the framework of general dynamic economics. The Introduction is a preview of the basic ideas about dynamics. This topic is followed by discussion on the theoretical analyses of dynamic urban systems. Part 1 emphasizes the dynamic stability property of spatial equilibrium and its relation to comparative statics. Part 2 considers the effects of various kinds of externalities o n the dynamic property of the urban economy, while Part 3 examines the long-run growth processes of the urban economy and their optimality property. Part 4 looks into the optimal size and configurations of an urban area in connection with agglomeration economies and traffic congestion. This book will be of great value to economic theorists.

Foreword Preface AcknowledgmentsIntroduction References Part 1 Stability of Spatial Equilibrium Chapter 1 Industrial Location 1.1 The Production Model 1.2 Boundary Adjustment 1.3 Wage Adjustment 1.4 Comparative Statics 1.5 The LeChatelier Principle References Chapter 2 Residential Location 2.1 The Residential Model 2.2 Dynamic Stability 2.3 Comparative Statics References Chapter 3 Interaction of Industrial and Residential Locations 3.1 The Urban Location Model 3.2 Dynamic Stability 3.3 Comparative Statics References Chapter 4 An Open City Case 4.1 The Open City Model 4.2 Dynamic Adjustment and Stability 4.3 Comparative Statics References Part 2 Externality and Instability Chapter 5 Instability of a Mixed City 5.1 Negative Intergroup Externalities 5.2 Global Analysis in a Special Case 5.3 Positive Intragroup Externalities 5.4 A Monocentric City Case 5.5 Final Remarks References Chapter 6 Probabilistic Approach to Neighborhood Choice 6.1 The Model and Existence 6.2 Uniqueness 6.3 Stability 6.4 The Two-Type-Two-Location Case References Chapter 7 Production and Externality 7.1 The Model with Pollution Externalities 7.2 Existence 7.3 Uniqueness and Stability References Part 3 Dynamics of Urban Growth Chapter 8 Industrial Growth 8.1 Exogenous Population Growth 8.2 Optimal Taxation 8.3 More on the Golden Rule 8.4 Exogenous Transportation Improvements References Chapter 9 Residential Growth 9.1 The Model with One Residential Class 9.2 Balanced Growth with the Golden Rule 9.3 Two Income Classes 9.4 Modifications References Chapter 10 Urban Growth and Unemployment 10.1 The Aggregate Production Function 10.2 The Model and Balanced Growth 10.3 Local Stability Analysis 10.4 Global Stability References Chapter 11 Dynamics of Rural-Urban Migration 11.1 The Model with Agglomeration Economies 11.2 Properties of Equilibrium 11.3 Dynamics of Migration References Part 4 Congestion and Agglomeration Chapter 12 Land Use in a Square City 12.1 The Model and Equilibrium Traffic Patterns 12.2 The Competitive Rent Profile 12.3 A Conjecture on Optimality 12.4 Excessive City Size References Chapter 13 Economics of Urban Concentration 13.1 The Multicentric City Model 13.2 Equilibrium Traffic Patterns 13.3 Total Transport Cost 13.4 Net Social Product 13.5 Numerical Examples References Index