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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| 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 |
| Summary: | 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. |
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