Lectures on location theory: with tables
Saved in:
| Main Author: | |
|---|---|
| Format: | Book |
| Language: | English |
| Published: |
Berlin [u.a.]
Springer
1999
|
| Subjects: | |
| Online Access: | Inhaltsverzeichnis |
| Physical Description: | XIII, 193 S. graph. Darst. |
| ISBN: | 3540657363 |
Staff View
MARC
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| 245 | 1 | 0 | |a Lectures on location theory |b with tables |c Martin J. Beckmann |
| 264 | 1 | |a Berlin [u.a.] |b Springer |c 1999 | |
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Record in the Search Index
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| adam_text | Contents
Chapter 1
Interaction and Distance 1
Interaction Observed 1
Distance 2
Mathematical Note 1.1 Alternative Interaction Laws 3
Mathematical Note 1.2 Gravity Laws 5
Mathematical Note 1.3 Random Utility 5
Mathematical Note 1.4 Gravity Derived From Utility 6
Mathematical Note 1.5 Alternative Derivation
of an Exponential Distance Effect 7
Mathematical Note 1.6 Maximum Likelihood and Entropy 8
Mathematical Note 1.7 A Search Model 9
Mathematical Note 1.8 Shopping Trips, Demand, and Distance 10
References 11
Chapter 2
Market Areas 13
Mathematical Note 2.1 The Shape of Market Areas 16
Mathematical Note 2.2 Market Areas as Regular Polygons 17
Mathematical Note 2.3 Models of Market Share 19
References 20
Chapter 3
Spatial Price Policy 21
Linear Demand Functions 21
Nonlinear Demand 24
Cartels and Collusive Oligopoly 25
Mathematical Note 3.1 Sales and Average Prices 25
Mathematical Note 3.2 Transportation Cost 27
Mathematical Note 3.3 Profits 28
Mathematical Note 3.4 Market Radius 34
3.5 Examples 38
3.5.1 Rectangular Demand Curve 38
X Contents
3.5.2 Exponential Demand Function 40
3.5.3 Constant Elasticity Demand Function 41
References 43
Chapter 4
Spatial Markets 45
Market and Supply Areas 46
Competition with Uniform Pricing 47
Trade Centers 47
Spatial Equilibrium in Labor Markets 48
Continuous Space Markets 48
Mathematical Note 4.1 Number of Firms and Price in a Common Market Area 49
Mathematical Note 4.2 Competition in Overlapping Market Areas,
Uniform Pricing 51
Mathematical Note 4.3 Equilibrium of Trade Centers 53
Mathematical Note 4.4 Spatial Equilibrium in Labor Markets 54
Mathematical Note 4.5 Spatial Equilibrium in a Continuous Market 57
Mathematical Note 4.6 Existence of Spatial Markets 58
References 60
Chapter 5
Location of an Economic Activity 61
Orientation 61
Market Orientation 64
Location in a Network 66
Mathematical Note 5.1 Launhardt Weber Model 66
Mathematical Note 5.2 Principle of the Median 67
Mathematical Note 5.3 The Hakimi Gulicher Theorum 69
References 69
Chapter 6
Multiple Facility Location 71
The McDonald Problem 71
Public Facilities 72
Warehouses and Fire Stations 73
Mathematical Note 6.1 The McDonald Problem 74
Mathematical Note 6.2 Home Delivery 78
Mathematical Note 6.3 School Districting in a Homogenous Urban Area 78
Mathematical Note 6.4 Increasing Returns in Schools and Optimal District Size 79
Mathematical Note 6.5 Locating Services When Demand Decreases With Distance... 80
Mathematical Note 6.6 The Warehousing Problem 81
Mathematical Note 6.7 The Covering Problem 82
References 84
Contents XI
Chapter 7
Dispersion 85
Ldschian Equilibrium 85
Uniform Pricing: Bertrand Oligopoly 87
Other Pricing Strategies 87
Mathematical Note 7.1 The Losch Model for Circular Markets 87
Mathematical Note 7.2 Mills Lav Effect 90
Mathematical Note 7.3 Bertrand Oligopoly with Uniform Prices 92
Mathematical Note 7.4 Cournot Oligopoly with Mill Pricing 94
Mathematical Note 7.5 Consistent Conjectural Variation:
Linear Market, Rectangular Demand, Mill Pricing 96
Mathematical Note 7.6 Contesting Duopoly with Price Discrimination 97
References 98
Chapter 8
Localization 99
Resource Oriented Industry 99
Externalities 100
Retail Stores 101
Gravitation to the Median: the Hotelling Effect 101
Mathematical Note 8.1 Resource Oriented Industry 101
Mathematical Note 8.2 Hotelling Model 103
Mathematical Note 8.3 Hotelling Model for Linear Demand Functions 103
References 105
Chapter 9
Agglomeration 107
Mathematical Note 9.1 Incentives for Joint Location 109
Mathematical Note 9.2 Intermediate Products 110
Mathematical Note 9.3 Agglomeration Economies Versus Scale Economies 111
References 112
Chapter 10
Assignment 113
The Linear Assignment Problem 113
The Quadratic Assignment Problem 115
Location of Production in the Short Run 115
Mathematical Note 10.1 Integer Assignments are Optimal 116
Mathematical Note 10.2 Efficiency Conditions for the Linear
Assignment Problem 117
Mathematical Note 10.3 The Quadratic Assignment Problem: An Example 118
Mathematical Note 10.4 Location of Production in the Short Run:
Plant Utilization 119
References 120
XII Contents
Chapter 11
Land Use 121
Agricultural Land Use 121
vonThunen s Rings 122
Quantitative Demand 123
Variable Proportions 123
Local Consumption 124
Soil and Climate 124
Wage Differences 124
Transportation Facilities 125
The Isolated State as a Spatial Equilibrium System 125
Urban Land Use 126
Bidding for Land Use 128
Mathematical Note 11.1 Extent of Cultivation 128
Mathematical Note 11.2 von Thunen Model as a Linear Program 130
Mathematical Note 11.3 Neo classical Production Functions 132
Mathematical Note 11.4 The Closed von Thunen Economy 134
Mathematical Note 11.5 The Monocentric City 137
Mathematical Note 11.6 Land Use under Spatially Dispersed Demand 139
References 140
Chapter 12
Urban Systems 143
Mathematical Note 12.1 Market Size for Central Place Goods 145
Mathematical Note 12.2 Basic Grid Length in Hexagonal Tiling 146
Mathematical Note 12.3 Derivation of Rank size Rule 147
References 148
Chapter 13
Transportation Systems 149
Mathematical Note 13.1 Traffic Flow in Networks 151
Mathematical Note 13.2 Traffic Equilibrium 154
Mathematical Note 13.3 Allocation in Public Transportation 155
Mathematical Note 13.4 Capacitated Hub and Spoke Systems 157
Mathematical Note 13.5 Refraction of Traffic 158
References 159
Chapter 14
The Spatial Economics of Knowledge 161
Knowledge Production 161
Knowledge Distribution 164
Mathematical Note 14.1 Knowledge Diffusion as a Spatial Process 165
Mathematical Note 14.2 Collaboration and Distance 168
References 170
Contents XIII
Chapter 15
Welfare 171
Mathematical Note 15.1 The Optimal Size of a Market 172
Mathematical Note 15.2 Welfare Maximizing Market Size for Rectangular
Demand, Independent of Price 175
Mathematical Note 15.3 Optimal Market Size under Marginal Cost Pricing 179
Mathematical Note 15.4 Optimal Market Size for Linear Demand
and Mill Pricing 181
Mathematical Note 15.5 Welfare Optimal Market Size for Uniform Pricing 183
Mathematical Note 15.6 Welfare Optimal Pricing 184
Mathematical Note 15.7 Welfare Comparison of Spatial Price Systems 186
Mathematical Note 15.8 Efficient Size and Structure of the Monocentric City 188
Mathematical Note 15.9 Tolls for Road Investment 191
Conclusion 192
References 193
Suggested Reading 195
|
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| institution | BVB |
| isbn | 3540657363 |
| language | English |
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| physical | XIII, 193 S. graph. Darst. |
| publishDate | 1999 |
| publishDateSearch | 1999 |
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| publisher | Springer |
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| spelling | Beckmann, Martin J. 1924-2017 Verfasser (DE-588)118654632 aut Lectures on location theory with tables Martin J. Beckmann Berlin [u.a.] Springer 1999 XIII, 193 S. graph. Darst. txt rdacontent n rdamedia nc rdacarrier Standorttheorie (DE-588)4121720-2 gnd rswk-swf Standorttheorie (DE-588)4121720-2 s DE-604 HBZ Datenaustausch application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=008499910&sequence=000002&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA Inhaltsverzeichnis |
| spellingShingle | Beckmann, Martin J. 1924-2017 Lectures on location theory with tables Standorttheorie (DE-588)4121720-2 gnd |
| subject_GND | (DE-588)4121720-2 |
| title | Lectures on location theory with tables |
| title_auth | Lectures on location theory with tables |
| title_exact_search | Lectures on location theory with tables |
| title_full | Lectures on location theory with tables Martin J. Beckmann |
| title_fullStr | Lectures on location theory with tables Martin J. Beckmann |
| title_full_unstemmed | Lectures on location theory with tables Martin J. Beckmann |
| title_short | Lectures on location theory |
| title_sort | lectures on location theory with tables |
| title_sub | with tables |
| topic | Standorttheorie (DE-588)4121720-2 gnd |
| topic_facet | Standorttheorie |
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