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The concept of random dynamical system is a comparatively recent development combining ideas and methods from the well developed areas of probability theory and dynamical systems. Due to our inaccurate knowledge of the particular physical…

Dynamical Systems · Mathematics 2007-05-23 Vitor Araujo

The construction industry faces increasingly more significant pressure to reduce resource consumption, minimise waste, and enhance environmental performance. Towards the transition to a circular economy in the construction industry, one of…

Numerical Analysis · Mathematics 2025-04-11 Yiping Meng , Sergio Cavalaro , Frozan Dizaye Mohamed Osmani

A robust thermodynamic relation between inflation corrected monetary valuation and energy emerges from existing work. This is based on the energy used, the aggregate efficiency of all production processes ($\Lambda(t)$) in terms of Joules…

General Economics · Economics 2026-04-17 Brian P. Hanley

The modeling of complex systems such as ecological or socio-economic systems can be very challenging. Although various modeling approaches exist, they are generally not compatible and mutually consistent, and empirical data often do not…

Physics and Society · Physics 2010-07-19 Dirk Helbing

Classical economics has developed an arsenal of methods, based on the idea of representative agents, to come up with precise numbers for next year's GDP, inflation and exchange rates, among (many) other things. Few, however, will disagree…

Physics and Society · Physics 2023-06-29 Jean-Philippe Bouchaud , Matteo Marsili , Jean-Pierre Nadal

The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an approach to correction of macroeconomic…

General Finance · Quantitative Finance 2010-03-24 S. I. Chernyshov , A. V. Voronin , S. A. Razumovsky

The use of robots in industrial settings continues to grow, driven by the need to address complex societal challenges such as labor shortages, aging populations, and ever-increasing production demands. In this abstract, we advocate for (and…

A clear definition of system dynamics modeling can provide shared understanding and clarify the impact of the field. We introduce a set of characteristics that define quantitative system dynamics, selected to capture core philosophy,…

Systems and Control · Electrical Eng. & Systems 2023-08-01 Asmeret Naugle , Saeed Langarudi , Timothy Clancy

The purpose of this paper is two-fold. First, to make clear (and de-mystify) the basic concepts of classical thermodynamics, and thus to enable the integration of thermodynamics within systems modeling and control. Second, to demonstrate…

Optimization and Control · Mathematics 2020-10-12 Arjan van der Schaft

We explore the nonlinear dynamics of a macroeconomic model with resource constraints. The dynamics is derived from a production function that considers capital and a generalized form of energy as inputs. Energy, the new variable, is…

Theoretical Economics · Economics 2024-08-30 Frank Schweitzer , Giona Casiraghi

Economic engineering is a new field wherein economic systems are modelled in the same manner as traditional mechanical and electrical engineering systems. In this paper, we use Newton's theory of motion as the basis for the theory of…

Systems and Control · Electrical Eng. & Systems 2023-10-27 Max Mendel

The correctness of Harrods model in the differential form is studied. The inadequacy of exponential growth of economy is shown; an alternative result is obtained. By example of Phillips model, an approach to correction of macroeconomic…

General Finance · Quantitative Finance 2009-11-30 S. I. Chernyshov , A. V. Voronin , S. A. Razumovsky

Physical analogs have shown considerable promise for understanding the behavior of complex adaptive systems, including macroeconomics, biological systems, social networks, and electric power markets. Many of today's most challenging…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 David P. Chassin , Joel Malard , Christian Posse

This article derives prognostic expressions for the evolution of globally aggregated economic wealth, productivity, inflation, technological change, innovation and growth. The approach is to treat civilization as an open, non-equilibrium…

General Finance · Quantitative Finance 2015-02-03 Timothy J. Garrett

In recent years, there has been growing interest in building closed-loop supply chains (SCs). However, many of the current methods struggle when it comes to fully embracing circular economy principles. Enhancing the design and management of…

Optimization and Control · Mathematics 2025-10-22 Jainil Dharmil Shah , Behrooz Khorshidvand , Niloofar Gilani Larimi , Adel Guitouni

Mathematical optimization is one of the cornerstones of modern engineering research and practice. Yet, throughout all application domains, mathematical optimization is, for the most part, considered to be a numerical discipline.…

Optimization and Control · Mathematics 2024-01-09 Adrian Hauswirth , Zhiyu He , Saverio Bolognani , Gabriela Hug , Florian Dörfler

We develop an analytically tractable model featuring heterogeneous workers and firms, where labor markets clear through a one-to-many sorting mechanism. Firms determine both the number and composition of their employees, shaping (1) the…

Theoretical Economics · Economics 2026-03-11 Paweł Gola , Haozhou Tang

The seriousness of the current crisis urgently demands new economic thinking that breaks the austerity vs. deficit spending circle in economic policy. The core tenet of the paper is that the most important problems that natural and social…

General Finance · Quantitative Finance 2012-08-20 Jaime Gomez-Ramirez

The process of creating goods and services, measured by their value, is considered a process of creating complexity. This allows us to consider the production system as an open thermodynamic system, and to develop a simple heuristic model…

Physics and Society · Physics 2026-04-24 Vladimir Pokrovskii

This paper presents a conceptual model describing the medium and long-term co-evolution of natural and socio-economic subsystems of Earth. An economy is viewed as an out-of-equilibrium dissipative structure that can only be maintained with…

General Economics · Economics 2022-05-09 Éric Herbert , and Gael Giraud , Aurélie Louis-Napoléon , Christophe Goupil