The Globe and the Circle: Geometry and Economic Geography as Tribute to Thales and Nash

12 Pages Posted: 7 Oct 2016

See all articles by Kaushik Basu

Kaushik Basu

Cornell University - Department of Economics; IZA Institute of Labor Economics; Brookings Institution

Date Written: September 12, 2016

Abstract

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.

Suggested Citation

Basu, Kaushik, The Globe and the Circle: Geometry and Economic Geography as Tribute to Thales and Nash (September 12, 2016). World Bank Policy Research Working Paper No. 7819. Available at SSRN: https://ssrn.com/abstract=2849119

Kaushik Basu (Contact Author)

Cornell University - Department of Economics ( email )

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IZA Institute of Labor Economics

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Brookings Institution ( email )

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