The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash
The geometry of the line and the circle has been used in economics for a long time to understand location choice and political positioning in democratic polity. This paper draws on some elementary ideas from geometry and game theory to extend some...
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| Format: | Working Paper |
| Language: | English en_US |
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World Bank, Washington, DC
2016
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| Online Access: | http://documents.worldbank.org/curated/en/2016/09/26782414/globe-circle-geometry-economic-geography-tribute-thales-nash http://hdl.handle.net/10986/25132 |
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okr-10986-251322021-06-14T10:16:40Z The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash Basu, Kaushik electoral democracy Nash equilibrium economic geography spatial economics The geometry of the line and the circle has been used in economics for a long time to understand location choice and political positioning in democratic polity. This paper draws on some elementary ideas from geometry and game theory to extend some of the analysis to beyond lines and circles, to the globe or the sphere. In the spirit of recreational geometry, the paper is focused on demonstrating some abstract results concerning Nash equilibria on the globe. It is hoped that this will help us understand better the robustness of median voter theorems and why stores position themselves the way they do. 2016-10-07T19:52:20Z 2016-10-07T19:52:20Z 2016-09 Working Paper http://documents.worldbank.org/curated/en/2016/09/26782414/globe-circle-geometry-economic-geography-tribute-thales-nash http://hdl.handle.net/10986/25132 English en_US Policy Research Working Paper;No. 7819 CC BY 3.0 IGO http://creativecommons.org/licenses/by/3.0/igo/ World Bank World Bank, Washington, DC Publications & Research Publications & Research :: Policy Research Working Paper |
| repository_type |
Digital Repository |
| institution_category |
Foreign Institution |
| institution |
Digital Repositories |
| building |
World Bank Open Knowledge Repository |
| collection |
World Bank |
| language |
English en_US |
| topic |
electoral democracy Nash equilibrium economic geography spatial economics |
| spellingShingle |
electoral democracy Nash equilibrium economic geography spatial economics Basu, Kaushik The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| relation |
Policy Research Working Paper;No. 7819 |
| description |
The geometry of the line and the circle
has been used in economics for a long time to understand
location choice and political positioning in democratic
polity. This paper draws on some elementary ideas from
geometry and game theory to extend some of the analysis to
beyond lines and circles, to the globe or the sphere. In the
spirit of recreational geometry, the paper is focused on
demonstrating some abstract results concerning Nash
equilibria on the globe. It is hoped that this will help us
understand better the robustness of median voter theorems
and why stores position themselves the way they do. |
| format |
Working Paper |
| author |
Basu, Kaushik |
| author_facet |
Basu, Kaushik |
| author_sort |
Basu, Kaushik |
| title |
The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| title_short |
The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| title_full |
The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| title_fullStr |
The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| title_full_unstemmed |
The Globe and the Circle : Geometry and Economic Geography as Tribute to Thales and Nash |
| title_sort |
globe and the circle : geometry and economic geography as tribute to thales and nash |
| publisher |
World Bank, Washington, DC |
| publishDate |
2016 |
| url |
http://documents.worldbank.org/curated/en/2016/09/26782414/globe-circle-geometry-economic-geography-tribute-thales-nash http://hdl.handle.net/10986/25132 |
| _version_ |
1764458631586119680 |