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Consider the problem of a government that wants to reduce the debt-to-GDP (gross domestic product) ratio of a country. The government aims at choosing a debt reduction policy which minimises the total expected cost of having debt, plus the…

Optimization and Control · Mathematics 2017-12-29 Giorgio Ferrari

Many countries faced challenges in their health workforce supply like impending retirement waves, negative population growth, or a suboptimal distribution of resources across medical sectors even before the pandemic struck. Current…

Applications · Statistics 2023-01-26 Peter Klimek , Katharina Ledebur , Michael Gyimesi , Herwig Ostermann , Stefan Thurner

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

The retirement funding problem addresses the question of how to manage a retiree's savings to provide her with a constant post-tax inflation adjusted consumption throughout her lifetime. This consists of choosing withdrawals and transfers…

Optimization and Control · Mathematics 2025-07-16 Kasper Johansson , Stephen Boyd

We demonstrate by mathematical analysis and systematic computer simulations that redistribution can lead to sustainable growth in a society. The human capital dynamics of each agent is described by a stochastic multiplicative process which,…

General Finance · Quantitative Finance 2015-06-11 Jan Lorenz , Fabian Paetzel , Frank Schweitzer

Administrative burden has been growing in organizations despite many counterproductive effects. We develop a system dynamics model to explain why this phenomenon occurs and to explore potential remedies. Prior literature has identified…

Physics and Society · Physics 2025-05-19 Vicky Chuqiao Yang , Levi Grenier

This tutorial article puts forth a framework to analyze the noncooperative strategic interactions among the members of a large population of bounded rationality agents. Our approach hinges on, unifies and generalizes existing methods and…

Optimization and Control · Mathematics 2020-07-15 Shinkyu Park , Nuno C. Martins , Jeff S. Shamma

We propose a continuous-time stock-flow consistent model for inventory dynamics in an economy with firms, banks, and households. On the supply side, firms decide on production based on adaptive expectations for sales demand and a desired…

General Finance · Quantitative Finance 2016-10-05 Matheus Grasselli , Adrien Nguyen-Huu

Physics-based climate projections using general circulation models are essential for assessing future risks, but their coarse resolution limits regional decision-making. Statistical downscaling can efficiently add detail, yet many methods…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Takuro Kutsuna , Noriko N. Ishizaki , Norihiro Oyama , Hiroaki Yoshida

How long people live depends on their health, and how it changes with age. Individual health can be tracked by the accumulation of age-related health deficits. The fraction of age-related deficits is a simple quantitative measure of human…

Quantitative Methods · Quantitative Biology 2016-03-23 Swadhin Taneja , Arnold B. Mitnitski , Kenneth Rockwood , Andrew D. Rutenberg

The existence of positive equilibrium solutions to age-dependent population equations with nonlinear diffusion is studied in an abstract setting. By introducing a bifurcation parameter measuring the intensity of the fertility it is shown…

Analysis of PDEs · Mathematics 2009-02-18 Christoph Walker

It is proposed that the theory of dynamical systems offers appropriate tools to model many phonological aspects of both speech production and perception. A dynamic account of speech rhythm is shown to be useful for description of both…

cmp-lg · Computer Science 2008-02-03 Robert Port , Fred Cummins , Michael Gasser

This paper deals with some control problems related to structured population dynamics with diffusion. Firstly, we investigate the regional control for an optimal harvesting problem (the control acts in a subregion $\omega$ of the whole…

Optimization and Control · Mathematics 2017-05-09 Laura-Iulia Aniţa , Sebastian Aniţa , Vincenzo Capasso , Ana-Maria Moşneagu

Human dynamics and sociophysics suggest statistical models that may explain and provide us with better insight into social phenomena. Here we tackle the problem of determining the distribution of the population density of a social space…

Physics and Society · Physics 2020-02-18 Mark Levene , Trevor Fenner

Generative control policies have recently unlocked major progress in robotics. These methods produce action sequences via diffusion or flow matching, with training data provided by demonstrations. But existing methods come with two key…

Robotics · Computer Science 2026-03-09 Vince Kurtz , Joel W. Burdick

We develop a continuous mathematical model of population dynamics that describes the sequential emergence of new genotypes under limited resources. The framework models genotype density as a nonlinear flow in mutation space, combining…

Populations and Evolution · Quantitative Biology 2025-12-10 Alexander Bratus , Tatiana Yakushkina , Vladimir Posvyanski

Solomon and Golo [1] have recently proposed an autocatalytic (self-reinforcing) feedback model which couples a macroscopic system parameter (the interest rate), a microscopic parameter that measures the distribution of the states of the…

General Finance · Quantitative Finance 2015-07-14 Natasa Golo , David S. Bree , Guy Kelman , Leanne Usher , Marco Lamieri , Sorin Solomon

By borrowing methods from complex system analysis, in this paper we analyze the features of the complex relationship that links the development and the industrialization of a country to economic inequality. In order to do this, we identify…

General Economics · Economics 2019-09-10 Angelica Sbardella , Emanuele Pugliese , Luciano Pietronero

The population size has far-reaching effects on the fitness of the population, that, in its turn influences the population extinction or persistence. Understanding the density- and age-dependent factors will facilitate more accurate…

Dynamical Systems · Mathematics 2021-02-12 Jonathan Andersson , Vladimir Kozlov , Vladimir G. Tkachev , Sonja Radosavljevic , Uno Wennergren

Previous studies show that natural disasters decelerate economic growth, and more so in countries with lower financial development. We confirm these results with more recent data. We are the first to show that fiscal stability reduces the…

General Economics · Economics 2022-11-16 Valeria Terrones , Richard S. J. Tol