Symplectic geometry: The natural geometry of economics?
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.
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- Samuelson, Paul A., 1970.
"Maximum Principles in Analytical Economics,"
Nobel Prize in Economics documents
1970-1, Nobel Prize Committee.
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