The mathematical analogies between economics and classical mechanics can be extended from constrained optimization to constrained dynamics by formalizing economic (constraint) forces and economic power in analogy to physical (constraint) forces in Lagrangian mechanics. In a...

In monetary Stock-Flow Consistent (SEC) models, accounting identities reduce the number of behavioral functions to avoid an overdetermined system of equations. We relax this restriction using a differential-algebraic equation framework of constrained dynamics. Agents exert forces the variables...