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The emergence and decline of democratic systems worldwide raises fundamental questions about the dynamics of political change. Contrary to the idea of a stable endpoint of liberal democracy, recent backsliding towards less democratic…

Statistical Mechanics · Physics 2026-03-09 Joshua Uhlig , Paula Pirker-Díaz , Matthew Wilson , Ralf Metzler , Karoline Wiesner

Aerial manipulators undergo rapid, configuration-dependent changes in inertial coupling forces and aerodynamic forces, making accurate dynamics modeling a core challenge for reliable control. Analytical models lose fidelity under these…

An array system of coupled maps is proposed as a model for economy evolution. The local dynamics of each map or agent is controlled by two parameters. One of them represents the growth capacity of the agent and the other one is a control…

Adaptation and Self-Organizing Systems · Physics 2008-12-02 J. R. Sanchez , R. Lopez-Ruiz

We develop a rigorous theory of external influences on finite discrete dynamical systems, going beyond the perturbation paradigm, in that the external influence need not be a small contribution. Indeed, the covariance condition can be…

Mathematical Physics · Physics 2023-02-09 Carlo Maria Scandolo , Gilad Gour , Barry C. Sanders

We define data-driven macroeconomic regimes by clustering the relative performance in time of indices belonging to different asset classes. We then investigate lead-lag relationships within the regimes identified. Our study unravels market…

Mathematical Finance · Quantitative Finance 2022-09-05 Deborah Miori , Mihai Cucuringu

Structural results impose sufficient conditions on the model parameters of a Markov decision process (MDP) so that the optimal policy is an increasing function of the underlying state. The classical assumptions for MDP structural results…

Systems and Control · Electrical Eng. & Systems 2023-03-07 Vikram Krishnamurthy

All economies require physical resource consumption to grow and maintain their structure. The modern economy is additionally characterized by private debt. The Human and Resources with MONEY (HARMONEY) economic growth model links these…

Theoretical Economics · Economics 2021-06-07 Carey W. King

We analyze export data aggregated at world global level of 219 classes of products over a period of 39 years. Our main goal is to set up a dynamical model to identify and quantify plausible mechanisms by which the evolutions of the various…

Economics · Quantitative Finance 2016-09-20 Michele Caraglio , Fulvio Baldovin , Attilio L. Stella

In this paper we present a mathematical model of the train dynamics in a linear metro line system with demand-dependent run and dwell times. On every segment of the line, we consider two main constraints. The first constraint is on the…

Optimization and Control · Mathematics 2018-10-30 Florian Schanzenbacher , Nadir Farhi , Fabien Leurent , Gérard Gabriel

There has been a long-standing and at times fractious debate whether complex and large systems can be stable. In ecology, the so-called `diversity-stability debate' arose because mathematical analyses of ecosystem stability were either…

Dynamical Systems · Mathematics 2015-09-02 Paul Kirk , Delphine M. Y. Rolando , Adam L. MacLean , Michael P. H. Stumpf

We introduce and study a non-equilibrium continuous-time dynamical model of the price of a single asset traded by a population of heterogeneous interacting agents in the presence of uncertainty and regulatory constraints. The model takes…

Adaptation and Self-Organizing Systems · Physics 2009-04-23 V. I. Yukalov , D. Sornette , E. P. Yukalova

Mathematical properties of the historical GDP/cap distributions are discussed and explained. These distributions are frequently incorrectly interpreted and the Unified Growth Theory is an outstanding example of such common misconceptions.…

General Finance · Quantitative Finance 2015-12-04 Ron W Nielsen

Traditional models of macroeconomic dynamics are fundamentally incorrect. The reason lies in a misunderstanding of peculiarities of the analysis of infinitesimal quantities. However, even those types of solutions that are envisaged by the…

General Finance · Quantitative Finance 2008-12-02 S. I. Chernyshov , V. S. Ponomarenko , A. V. Voronin

This paper presents macroeconomic model that is based on parallels between macroeconomic multi-agent systems and multi-particle systems. We use risk ratings of economic agents as their coordinates on economic space. Aggregates of economic…

Economics · Quantitative Finance 2017-01-25 Victor Olkhov

We develop a model for the evolution of economic entities within a geographical type of framework. On a square symmetry lattice made of three (economic) regions, firms, described by a scalar fitness, are allowed to move, adapt, merge or…

Statistical Mechanics · Physics 2009-11-10 Marcel Ausloos , Paulette Clippe , Andrzej Pekalski

We consider the relationship between economic activity and intervention, including monetary and fiscal policy, using a universal dynamic framework. Central bank policies are designed for growth without excess inflation. However,…

Physics and Society · Physics 2018-01-01 Yaneer Bar-Yam , Jean Langlois-Meurinne , Mari Kawakatsu , Rodolfo Garcia

We explore the role of non-ergodicity in the relationship between income inequality, the extent of concentration in the income distribution, and mobility, the feasibility of an individual to change their position in the income distribution.…

General Economics · Economics 2022-04-27 Viktor Stojkoski , Petar Jolakoski , Arnab Pal , Trifce Sandev , Ljupco Kocarev , Ralf Metzler

This paper suggests that business cycles may be a manifestation of coupled real economy and stock market dynamics and describes a mechanism that can generate economic fluctuations consistent with observed business cycles. To this end, we…

General Finance · Quantitative Finance 2019-09-27 Dimitri Kroujiline , Maxim Gusev , Dmitry Ushanov , Sergey V. Sharov , Boris Govorkov

Many real-world decision-making problems face the off-dynamics challenge: the agent learns a policy in a source domain and deploys it in a target domain with different state transitions. The distributionally robust Markov decision process…

Machine Learning · Computer Science 2025-05-26 Zhishuai Liu , Pan Xu

The existing theorization of development economics and transition economics is probably inadequate and perhaps even flawed to accurately explain and analyze a dual economic system such as that in China. China is a country in the transition…

General Economics · Economics 2021-10-06 Tianyong Zhou
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