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We introduce a general Hamiltonian framework that appears to be a naturalsetting for the derivation of various production functions in economic growththeory, starting with the celebrated Cobb-Douglas function. Employing ourmethod, we investigate some existing models and propose a new one as specialcases of the general $n$-dimensional Lotka-Volterra system of eco-dynamics.

The Hamiltonian approach to the problem of derivation of production functions in economic growth theory