Symplectic geometry: The natural geometry of economics? (Thomas Russel, 2011).

What restrictions does the hypothesis of maximizing behavior place on observed market data? In the context of profit maximization, one of the conditions put forward by Samuelson is a ratio test for the areas between two restricted input demand functions. Here we place this condition firmly within the context of modern mathematics and will indicate why area geometry, (or in higher dimensions, symplectic geometry) seems to be the natural geometry of maximizing economics.

See also

• Contact Geometry, Symplectic Geometry, and the Maximization Hypothesis in Economics.

• On the path dependence of economic growth.

Symplectic geometry: The natural geometry of economics? (Thomas Russel, 2011).

What restrictions does the hypothesis of maximizing behavior place on observed market data? In the context of profit maximization, one of the conditions put forward by Samuelson is a ratio test for the areas between two restricted input demand functions. Here we place this condition firmly within the context of modern mathematics and will indicate why area geometry, (or in higher dimensions, symplectic geometry) seems to be the natural geometry of maximizing economics.

See also

• Contact Geometry, Symplectic Geometry, and the Maximization Hypothesis in Economics.

• On the path dependence of economic growth.

• Jan Tinbergen’s Legacy for Economic Networks: From the Gravity Model to Quantum Statistics