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Symplectic geometry: The natural geometry of economics?

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  • Russell, Thomas

Abstract

In terms of symplectic geometry, economic price/quantity data arise from maximizing behavior when they lie on a Lagrangian sub-manifold of a symplectic space. Samuelson's test for maximizing behavior is shown to require economic data to satisfy this condition.

Suggested Citation

  • Russell, Thomas, 2011. "Symplectic geometry: The natural geometry of economics?," Economics Letters, Elsevier, vol. 112(3), pages 236-238, September.
    • Handle: RePEc:eee:ecolet:v:112:y:2011:i:3:p:236-238
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    References listed on IDEAS

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    1. Samuelson, Paul A, 1972. "Maximum Principles in Analytical Economics," American Economic Review, American Economic Association, vol. 62(3), pages 249-262, June.
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