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Motivated by the current fears of a potentially stagflationary global economic environment, this paper uses new and recently introduced mathematical techniques to study multivariate time series pertaining to country inflation (CPI),…

Statistical Finance · Quantitative Finance 2022-09-22 Nick James , Max Menzies , Kevin Chin

For a sequence of dynamic optimization problems, we aim at discussing a notion of consistency over time. This notion can be informally introduced as follows. At the very first time step $t_0$, the decision maker formulates an optimization…

Optimization and Control · Mathematics 2010-05-21 Pierre Carpentier , Jean-Philippe Chancelier , Guy Cohen , Michel De Lara , Pierre Girardeau

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

The methods of statistical physics of open systems are used for describing the time dependence of economic characteristics (income, profit, cost, supply, currency etc.) and their correlations with each other. Nonlinear equations (analogies…

General Physics · Physics 2007-05-23 L. Ya. Kobelev , O. L. Kobeleva , Ya. L. Kobelev

In economics, construction of perfect models in a way that would be comparable to the standards customary in physical sciences is generally not feasible. In particular, the observed value for an economic equilibrium may deviate…

Probability · Mathematics 2026-01-05 Esa Nummelin , Elja Arjas

Cooperation and competition are fundamental forces shaping both natural and human systems, yet their interplay remains poorly understood. The Prisoner's Dilemma Game (PDG) has long served as a foundational framework in Game Theory for…

Physics and Society · Physics 2025-08-01 Alfonso de Miguel-Arribas , Chengbin Sun , Carlos Gracia-Lázaro , Yamir Moreno

In the framework of evolutionary games with institutional reciprocity, limited incentives are at disposal for rewarding cooperators and punishing defectors. In the simplest case, it can be assumed that, depending on their strategies, all…

Populations and Evolution · Quantitative Biology 2014-09-05 Xiaojie Chen , Matjaz Perc

The governance of common-pool resources-resource systems characterized by high subtractability of yield and difficulty of exclusion-constitutes one of the most persistent and intricate challenges in the fields of economics, ecology, and…

General Economics · Economics 2026-02-04 Zebiao Li , Rui Liu , Chengyi Tu

With rapid growth in the amount of unstructured data produced by memory-intensive applications, large scale data analytics has recently attracted increasing interest. Processing, managing and analyzing this huge amount of data poses several…

Distributed, Parallel, and Cluster Computing · Computer Science 2016-08-29 Farshid Farhat , Diman Zad Tootaghaj , Mohammad Arjomand

Data describing historical growth of income per capita [Gross Domestic Product per capita (GDP/cap)] for the world economic growth and for the growth in Western Europe, Eastern Europe, Asia, former USSR, Africa and Latin America are…

Economics · Quantitative Finance 2016-05-03 Ron W Nielsen

Public organizations need innovative approaches for managing common goods and to explain the dynamics linking the (re)generation of common goods and organizational performance. Although system dynamics is recognised as a useful approach for…

General Economics · Economics 2021-02-09 A. Sardi , E. Sorano

Evolutionary game theory has traditionally employed deterministic models to describe population dynamics. These models, due to their inherent nonlinearities, can exhibit deterministic chaos, where population fluctuations follow complex,…

Populations and Evolution · Quantitative Biology 2025-04-02 Maria Alejandra Ramirez , George Datseris , Arne Traulsen

Age-structured models capture the dynamic behavior of populations over time and result in nonlinear integro-partial differential equations (IPDEs). These processes arise in various fields such as biotechnology, economics, or demography.…

Systems and Control · Electrical Eng. & Systems 2025-12-08 Carina Veil , Miroslav Krstić , Patrick McNamee , Oliver Sawodny

P.W. Anderson proposed the concept of complexity in order to describe the emergence and growth of macroscopic collective patterns out of the simple interactions of many microscopic agents. In the physical sciences this paradigm was…

General Finance · Quantitative Finance 2009-11-13 Gur Yaari , Andrzej Nowak , Kamil Rakocy , Sorin Solomon

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

Our computational economic analysis investigates the relationship between inequality, mobility and the financial accumulation process. Extending the baseline model by Levy et al., we characterise the economic process through stylised return…

General Economics · Economics 2020-02-20 Simone Righi , Yuri Biondi

Scale independence is a ubiquitous feature of complex systems which implies a highly skewed distribution of resources with no characteristic scale. Research has long focused on why systems as varied as protein networks, evolution and stock…

Physics and Society · Physics 2016-02-08 Laurent Hébert-Dufresne , Antoine Allard , Jean-Gabriel Young , Louis J. Dubé

The sustainability of cooperation is crucial for understanding the progress of societies. We study a repeated game in which individuals decide the share of their income to transfer to other group members. A central feature of our model is…

General Economics · Economics 2025-10-31 Pau Juan-Bartroli , Esteban Muñoz-Sobrado

Ergodicity economics is a new branch of economic theory that notes the conceptual difference between time averages and expectation values, which coincide only for ergodic observables. It postulates that individual agents maximise the time…

Economics · Quantitative Finance 2021-03-02 Ole Peters , Alexander Adamou

India's urbanization is often characterized as particularly challenging and very unequal but systematic empirical analyses, comparable to other nations, have largely been lacking. Here, we characterize India's economic and human development…

Physics and Society · Physics 2024-10-08 Anand Sahasranaman , Nishanth Kumar , Luis M. A. Bettencourt
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