Dynamic Analysis of the Urban Economy

Dynamic Analysis of the Urban Economy

1st Edition - January 1, 1981

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  • Author: Takahiro Miyao
  • eBook ISBN: 9780323160261

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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.

Table of Contents

  • Foreword





    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


    Chapter 2 Residential Location

    2.1 The Residential Model

    2.2 Dynamic Stability

    2.3 Comparative Statics


    Chapter 3 Interaction of Industrial and Residential Locations

    3.1 The Urban Location Model

    3.2 Dynamic Stability

    3.3 Comparative Statics


    Chapter 4 An Open City Case

    4.1 The Open City Model

    4.2 Dynamic Adjustment and Stability

    4.3 Comparative Statics


    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


    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


    Chapter 7 Production and Externality

    7.1 The Model with Pollution Externalities

    7.2 Existence

    7.3 Uniqueness and Stability


    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


    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


    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


    Chapter 11 Dynamics of Rural-Urban Migration

    11.1 The Model with Agglomeration Economies

    11.2 Properties of Equilibrium

    11.3 Dynamics of Migration


    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


    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



Product details

  • No. of pages: 204
  • Language: English
  • Copyright: © Academic Press 1981
  • Published: January 1, 1981
  • Imprint: Academic Press
  • eBook ISBN: 9780323160261

About the Author

Takahiro Miyao

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