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A deterministic system of interacting agents is considered as a model for economic dynamics. The dynamics of the system is described by a coupled map lattice with near neighbor interactions. The evolution of each agent results from the…

General Finance · Quantitative Finance 2009-11-13 J. Gonzalez-Estevez , M. G. Cosenza , R. Lopez-Ruiz , J. R. Sanchez

A deterministic system of coupled maps is proposed as a model for economic activity among interacting agents. The values of the maps represent the wealth of the agents. The dynamics of the system is controlled by two parameters. One…

Chaotic Dynamics · Physics 2008-12-02 J. R. Sanchez , J. Gonzalez-Estevez , R. Lopez-Ruiz , M. G. Cosenza

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

The one-dimensional deterministic economic model recently studied by Gonzalez-Estevez et al. [Physica A 387, 4367 (2008)] is considered on a two-dimensional square lattice with periodic boundary conditions. In this model, the evolution of…

General Finance · Quantitative Finance 2015-05-13 J. Gonzalez-Estevez , M. G. Cosenza , O. Alvarez-Llamoza , R. Lopez-Ruiz

We study systems of interacting reinforced stochastic processes, where agents' decisions evolve under reinforcement, network-mediated interactions, and environmental influences. In competitive environments with irreducible networks, we…

Probability · Mathematics 2025-09-18 Michele Aleandri , Paolo Dai Pra , Ida Germana Minelli

We propose a Statistical-Mechanics inspired framework for modeling economic systems. Each agent composing the economic system is characterized by a few variables of distinct nature (e.g. saving ratio, expectations, etc.). The agents…

Statistical Mechanics · Physics 2007-05-23 Tom Erez , Martin Hohnisch , Sorin Solomon

Models in econophysics, i.e., the emerging field of statistical physics that applies the main concepts of traditional physics to economics, typically consist of large systems of economic agents who are characterized by the amount of money…

Probability · Mathematics 2017-03-08 Nicolas Lanchier

An agent-based model for firms' dynamics is developed. The model consists of firm agents with identical characteristic parameters and a bank agent. Dynamics of those agents is described by their balance sheets. Each firm tries to maximize…

General Finance · Quantitative Finance 2009-01-14 Hiroshi Iyetomi , Hideaki Aoyama , Yoshi Fujiwara , Yuichi Ikeda , Wataru Souma

We propose a model for co-evolving ecosystems that takes into account two levels of description of an organism, for instance genotype and phenotype. Performance at the macroscopic level forces mutations at the microscopic level. These, in…

adap-org · Physics 2007-05-23 Guillermo Abramson , Jose Luis Vega

The random map model is a deterministic dynamical system in a finite phase space with n points. The map that establishes the dynamics of the system is constructed by randomly choosing, for every point, another one as being its image. We…

Biological Physics · Physics 2009-11-07 David Romero , Federico Zertuche

In this paper, we propose a novel approach that employs kinetic equations to describe the collective dynamics emerging from graph-mediated pairwise interactions in multi-agent systems. We formally show that for large graphs and specific…

Physics and Society · Physics 2026-05-15 Marco Nurisso , Matteo Raviola , Andrea Tosin

The agent-based Yard-Sale model of wealth inequality is generalized to incorporate exponential economic growth and its distribution. The distribution of economic growth is nonuniform and is determined by the wealth of each agent and a…

Statistical Mechanics · Physics 2021-08-26 Kang K. L. Liu , N. Lubbers , W. Klein , J. Tobochnik , B. M. Boghosian , Harvey Gould

One dimensional stylized model taking into account spatial activity of firms with uniformly distributed customers is proposed. The spatial selling area of each firm is defined by a short interval cut out from selling space (large interval).…

General Finance · Quantitative Finance 2008-12-02 Zoltan Kuscsik , Denis Horvath

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 propose a set of conservative models in which agents exchange wealth with a preference in the choice of interacting agents in different ways. The common feature in all the models is that the temporary values of financial status of agents…

Physics and Society · Physics 2015-06-22 Sanchari Goswami , Parongama Sen

There are insights of chaotic properties in economic systems and data. To prove the existence of chaotic dynamics, the establishment of a deterministic model is mandatory. A global modelling tool (GPoM) is used to search for mathematical…

Chaotic Dynamics · Physics 2025-10-24 Alexandre Meneceur , Vincent Lignon , Martin Rosalie

This paper presents a model of capital accumulation for a large number of heterogenous producer-consumers in an exchange space in which interactions depend on agents' positions. Each agent is described by his production, consumption, stock…

General Finance · Quantitative Finance 2019-09-26 Pierre Gosselin , Aïleen Lotz , Marc Wambst

The dynamics of competing opinions in social network play an important role in society, with many applications in diverse social contexts as consensus, elections, morality and so on. Here we study a model of interacting agents connected in…

Physics and Society · Physics 2022-09-29 Antonio Mihara , Anderson A. Ferreira , André C. R. Martins , Fernando F. Ferreira

A generalized continuous economic model is proposed for random markets. In this model, agents interact by pairs and exchange their money in a random way. A parameter controls the effectiveness of the transactions between the agents. We show…

General Finance · Quantitative Finance 2011-05-11 R. Lopez-Ruiz , E. Shivanian , S. Abbasbandy , J. L. Lopez

Agents are systems that optimize an objective function in an environment. Together, the goal and the environment induce secondary objectives, incentives. Modeling the agent-environment interaction using causal influence diagrams, we can…

Artificial Intelligence · Computer Science 2022-01-21 Tom Everitt , Pedro A. Ortega , Elizabeth Barnes , Shane Legg
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