This paper develops a novel methodology to study robust stability properties of Nash equilibrium points in dynamic games. Small-gain techniques in modern mathematical control theory are used for the first time to derive conditions guaranteeing uniqueness and global asymptotic stability of Nash...

Standard Data Envelopment Analysis (DEA) approach is used to evaluate the efficiency of DMUs and treats its internal structures as a “black box”. The aim of this paper is twofold. The first task is to survey and classify supply chain DEA models which investigate these internal structures....

Exploitation of non–renewable resources is an intensively studied field of environmental economics in the last century. Since the influential Hotelling’s paper a huge progress is made in the depletable resources literature. Although a variety of methodologies is used in that problem’s...

In this paper we propose to address the issue of monetary economic models that can be used as teaching materials for courses in higher mathematics degree. Specifically, this work is based on a paper by Robert Barro and David Gordon (1983) which models the behavior of a closed economy, with a...

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 distinguish between (i) voting systems in which voters can rank candidates and (ii) those in which they can grade candidates, such as approval voting, in which voters can give two grades—approve (1) or not approve (0)—to candidates. While two grades rule out a discrepancy between the...

We consider a health authority seeking to allocate annual budgets optimally over time to minimize the discounted social cost of infection(s) evolving in a finite set of R = 2 groups. This optimization problem is challenging, since as is well known, the standard epidemiological model describing...

This paper attempts to answer the optimal question, that of decelerating the spread of COVID-19 without damaging the economy. Proceeding through standard thinking of dynamic optimization theory à la Fujita, we believe that workers need to come into contact with other workers less and less,...

The issue of coronavirus outbreak in the world, though new, is equally pervasive. It has posed a new and ambiguous challenge to the economic growth of countries around the world. Undoubtedly, the efforts of countries to curb the spread of this virus and reduce the number of deaths are necessary...

Abstract The issue of coronavirus outbreak in the world, though new, is equally pervasive. It has posed a new and ambiguous challenge to the economic growth of countries around the world. Undoubtedly, the efforts of countries to curb the spread of this virus and reduce the number of deaths are...