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...

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...

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...

This paper introduces a machine learning (ML) based approach for integrating Human Security (HS) and Sustainable Development Goals (SDGs). Originating in the 1990s, HS focuses on strategic, people-centric interventions for ensuring comprehensive welfare and resilience. It closely aligns with the...

Serbian. U uslovima izolacije (sankcije međunarodne zajednice) standardni instrumenti ekonomske politike usmereni na uspostavljanje spoljnoekonomske ravnoteže potisnuti su instrumentima monetarne politike, kojima se makroekonomska (ne)ravnoteža autonomno generiše u okviru zatvorenog sistema....

Hay esbozos según los cuales las probabilidades se cuentan como la fundación de la teoría matemática de las estadísticas. Mas la significación física de las probabilidades matemáticas son oscuros, muy poco entendidos. Parecíera mejor que las probabilidades físicas se fundaran en las...

This study tries to quantify the impact of transition in Eastern countries in an early stage on the cost-side and also on the benefit-side. The exposition plan includes: 1) Introduction; 2) Structural distortions; 3) Transition versus stability.

This paper describes three measures of financial risk –Value at Risk (VaR) based on the Gaussian distribution, VaR based on extreme value theory and conditional VaR (expected shortfall) – and shows an application of these measures to the withdrawals of deposits in the Bolivian financial...