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...

This study sheds new light on the question of whether or not sentiment surveys, and the expectations derived from them, are relevant to forecasting economic growth and stock returns, and whether they contain information that is orthogonal to macroeconomic and financial data. I examine 16...

We provide an analytical approach that facilitates understanding the bifurcation mechanism of a wide class of economic models involving spatial agglomeration of economic activities. The proposed method overcomes the limitations of the Turing (1952) approach that has been used to analyze the...

lecture note from the deptartment ECARES within the Université libre de Bruxelles of the academic year 2014/'15; static optimization, riemann integrals and tricks for integrating; differential equations; dynamic optimization: calculus of variation and optimal control theory

This paper uses the Hartman-Stampacchia theorems as primary tool to prove the Gale-Nikaido-Debreu lemma. It also establishes a full equivalence circle among the Hartman Stampacchia theorems, the Gale-Nikaido-Debreu lemmas, and Kakutani and Brouwer fixed point theorems.

Summary: In a Hayek-Friedman-Lucas world, market economies are assumed to be natural, stable, and ergodic; hence, government policies are harmful to their efficiency. We develop a nonlinear dissipative dynamic model that shows that market economies instead live on the edge of chaos. We next...

In this paper, I numerically simulate the path of economy in an economic depression. It is not easy to perform a numerical simulation of the path to a steady state if households are assumed to behave by generating rational expectations. It is much easier, however, if households are assumed to...

Revolutions do not consolidate until they blend with the establishment to create a new world. Keynes understood it, and that is why he titled his masterwork The General Theory. But he was unsuccessful in the blending. In 2020-21, it is argued in here, we all follow Keynes, but with insufficient...

This article proposes that Okun’s Law is an empirical relationship between employment and production which, in the United States, correlates to the relationship between the radius of a circle and one-half of its circumference i.e. numerically, the ratio 1 : π. This requires two new sets of...

This book is about the construction of reality. The central aim of this study is to understand how gravity works and how it may be focused and manipulated. While I do not have an answer to this question, the discoveries along the way have been worth collecting into a single volume for future...