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Choice models for populations of agents on graphs are studied in terms of statistical thermodynamics. Equations of state are derived and discussed for different connectivity schemes, utility approximations, and temperature and volume…

Statistical Mechanics · Physics 2009-09-29 A. Majka , W. Wislicki

Models for spin systems known from statistical physics are applied by analogy in econometrics in the form of agent-based models. Researchers suggest that the state variable temperature $T$ corresponds to volatility $\sigma$ in capital…

Statistical Finance · Quantitative Finance 2023-03-28 Christoph J. Börner , Ingo Hoffmann , John H. Stiebel

Economy is demanding new models, able to understand and predict the evolution of markets. To this respect, Econophysics offers models of markets as complex systems, that try to comprehend macro-, system-wide states of the economy from the…

Trading and Market Microstructure · Quantitative Finance 2015-05-20 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We discuss the notion of nonequilibrium chemical potential in gases of non-interacting active particles filling two compartments separated by a potential energy barrier. Different types of active particles are considered: run-and-tumble…

Statistical Mechanics · Physics 2019-03-11 Jules Guioth , Eric Bertin

This paper develops generalizations of empowerment to continuous states. Empowerment is a recently introduced information-theoretic quantity motivated by hypotheses about the efficiency of the sensorimotor loop in biological organisms, but…

Artificial Intelligence · Computer Science 2012-02-01 Tobias Jung , Daniel Polani , Peter Stone

Despite their simplicity, quantum harmonic oscillators are ubiquitous in the modeling of physical systems. They are able to capture universal properties that serve as reference for the more complex systems found in nature. In this spirit,…

Quantum Physics · Physics 2025-03-04 Benedikt M. Reible , Ana Djurdjevac , Luigi Delle Site

In statistical physics, the conservation of particle number results in the equalization of the chemical potential throughout a system at equilibrium. In contrast, the homogeneity of utility in socio-economic models is usually thought to…

Physics and Society · Physics 2011-02-18 Rémi Lemoy , Eric Bertin , Pablo Jensen

Agent-based models have demonstrated their power and flexibility in Econophysics. However their major challenge is still to devise more realistic simulation scenarios. The complexity of Economy makes appealing the idea of introducing…

Chaotic Dynamics · Physics 2011-10-25 Carmen Pellicer-Lostao , Ricardo Lopez-Ruiz

We briefly review statistical models for the probability distribution of money developed in the econophysics literature since the late 1990s. In these models, economic transactions are modeled as random transfers of money between the agents…

Statistical Finance · Quantitative Finance 2011-03-14 Victor M. Yakovenko

Climate change is a major global challenge today. To assess how policies may lead to mitigation, economists have developed Integrated Assessment Models, however, most of the equilibrium based models have faced heavy critiques. Agent-based…

General Economics · Economics 2023-01-23 Karl Naumann-Woleske

Many recent models of trade dynamics use the simple idea of wealth exchanges among economic agents in order to obtain a stable or equilibrium distribution of wealth among the agents. In particular, a plain analogy compares the wealth in a…

General Finance · Quantitative Finance 2015-05-30 J. R. Iglesias , R. M. C. de Almeida

I present an overview of an equation of state, being developed in the chemical picture, and based on the very successful MHD equation of state. The flexibility of the chemical picture combined with the free-energy minimization procedure,…

Astrophysics · Physics 2009-11-10 Regner Trampedach

The enterprise of trying to explain different social and economic phenomena using concepts and ideas drawn from physics has a long history. Statistical mechanics, in particular, has been often seen as most likely to provide the means to…

Physics and Society · Physics 2019-06-28 Shakti N. Menon , V. Sasidevan , Sitabhra Sinha

We have used agent-based modeling as our numerical method to artificially simulate a dynamic real economy where agents are rational maximizers of an objective function of Cobb-Douglas type. The economy is characterised by heterogeneous…

Theoretical Economics · Economics 2024-01-17 Subhamon Supantha , Naresh Kumar Sharma

We discuss several multi-agent models that have their origin in the kinetic exchange theory of statistical mechanics and have been recently applied to a variety of problems in the social sciences. This class of models can be easily adapted…

Physics and Society · Physics 2013-06-18 Marco Patriarca , Anirban Chakraborti

We have considered a model of a small finite system with internal particles and surface degrees of freedom. All the main statistical distributions were explicitly obtained, on a pre thermodynamic limit basis. The concept of temperature or…

Statistical Mechanics · Physics 2025-08-11 D. M. Naplekov , V. V. Yanovsky

In this paper an econophysics model for the currency exchange operations with commission is proposed. With this purpose some analogies and similarities of the processes that take place in the frame of the electrochemical system made from…

Portfolio Management · Quantitative Finance 2010-05-04 Ion Spanulescu , Victor A. Stoica , Ion Popescu

This work investigates a modified Schelling model within the scope and aims of Social Physics. The main purpose is to see if how the concepts of potential and kinetic energy can be represented within a computational sociological system. A…

Physics and Society · Physics 2023-09-14 George-Rafael Domenikos , Tyler Laurie , Sahar Awaji , Alexander V. Mantzaris

Economic systems are similar with physic systems for their large number of individuals and the exist of equilibrium. In this paper, we present a model applying the equilibrium statistical model in economic systems. Consistent with…

General Finance · Quantitative Finance 2015-04-17 Zhiwu Zheng

Econophysics is a new area developed recently by the cooperation between economists, mathematicians and physicists. It's not a tool to predict future prices of stocks and exchange rates. It applies idea, method and models in Statistical…

Soft Condensed Matter · Physics 2007-05-23 Yougui Wang , Jinshan Wu , Zengru Di
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