The thesis of this paper is mathematical formulation of the laws of Economics with application of the principle of Least Action of classical mechanics. This paper is proposed as the rigorous mathematical approach to Economics provided by the fundamental principle of the physical science – the...

We introduce a new approach to showing existence of equilibrium in models of economies with unbounded short sales. Inspired by the pioneering works of Hart (1974) on asset market models, Grandmont (1977) on temporary economic equilibrium, and of Werner (1987) on general equilibrium exchange...

None of the known macroeconomic theories are adequate to understand what to do in a global crisis like the 2020 Global Pandemic. Rational Expectations and monetarism cannot even ex-plain how is that a global crisis like this happens. The IS-LM model was designed to manage business cycles, but...

We consider an overlapping generations model à la Diamond (1965) with two additional ingredients: altruism and an asset (or land) bringing non-stationary positive dividends (or fruits). We study the global dynamics of capital stocks and asset values as well as the interplay between them. Asset...

This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.

This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.

This work extends the Sard-Smale Theorem to maps between convex subsets of Banach spaces that may have an empty interior.

The introduction and widespread use of credit cards increases trading efficiency but, by also increasing the velocity of money, it causes inflation, in the absence of monetary intervention. If the monetary authority attempts to restore pre-credit card price levels by reducing the money supply,...

We characterize equilibria with endogenous debt constraints for a general equilibrium economy with limited commitment in which the only consequence of default is losing the ability to borrow in future periods. First, we show that equilibrium debt limits must satisfy a simple condition that...

We consider a model with real assets and restricted participation described by household specific price dependent short selling constraints. We show existence of equilibria for all elements in an explicitly characterized large subset of the set of economies.