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We present and analyze a model for the evolution of the wealth distribution within a heterogeneous economic environment. The model considers a system of rational agents interacting in a game theoretical framework, through fairly general…

综合金融 · 定量金融 2015-06-16 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

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…

统计力学 · 物理学 2021-08-26 Kang K. L. Liu , N. Lubbers , W. Klein , J. Tobochnik , B. M. Boghosian , Harvey Gould

We present an agent-based model of microscopic wealth exchange in a dynamic network to study the topological features associated with economic inequality. The model evolves through two alternating processes, the conservative exchange of…

物理与社会 · 物理学 2024-08-30 Gustavo Kohlrausch , Sebastián Gonçalves

We study an agent-based model of evolution of wealth distribution in a macro-economic system. The evolution is driven by multiplicative stochastic fluctuations governed by the law of proportionate growth and interactions between agents. We…

物理与社会 · 物理学 2019-11-22 Zdzislaw Burda , Pawel Wojcieszak , Konrad Zuchniak

We present a minimal agent-based model of interacting agents characterized by their wealth to study taxation and inequality in a non-conservative economy. Wealth evolves through an extremal stochastic replacement process in which the…

We develop a statistical framework for wealth allocation in which agents hold discrete units of wealth and macrostates are defined by how wealth is distributed across agents. The structure of the economic state space is characterized…

物理与社会 · 物理学 2026-02-04 Korak Biswas

We discuss a possibility of deriving an H-theorem for nonlinear discrete time evolution equation that describes random wealth exchanges. In such kinetic models economical agents exchange wealth in pairwise collisions just as particles in a…

统计力学 · 物理学 2014-08-04 S. M. Apenko

We study the dynamics of individual agents in some kinetic models of wealth exchange, particularly, the models with savings. For the model with uniform savings, agents perform simple random walks in the "wealth space". On the other hand, we…

物理与社会 · 物理学 2011-01-04 Arnab Chatterjee , Parongama Sen

Based on the stochastic model proposed by Patriarca-Kaski-Chakraborti that describes the exchange of wealth between $n$ economic agents, we analyze the evolution of the corresponding economies under the assumption of a Gaussian background,…

综合金融 · 定量金融 2011-02-25 J. M. Pellon-Diaz , A. Aragones-Munoz , A. Sandoval-Villalbazo , A. Diaz-Reynoso

We propose a stochastic model of evolution of wealth in a society of economic agents. In the model, an agent can be in two states: inactive and active. Transitions between the states occur at random time intervals. In the active state, the…

物理与社会 · 物理学 2007-05-23 Indrani Bose , Subhasis Banerjee

The addition of wealth-attained advantage (WAA) to the Yard-Sale Model (YSM) of asset exchange has been demonstrated to induce wealth condensation. In a model of WAA for which the bias is a continuous function of the wealth difference of…

综合金融 · 定量金融 2016-08-23 Bruce M. Boghosian , Adrian Devitt-Lee , Hongyan Wang

We study a system of $N$ agents, whose wealth grows linearly, under the effect of stochastic resetting and interacting via a tax-like dynamics -- all agents donate a part of their wealth, which is, in turn, redistributed equally among all…

物理与社会 · 物理学 2022-05-11 Ion Santra

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…

物理与社会 · 物理学 2015-06-22 Sanchari Goswami , Parongama Sen

Various social contexts ranging from public goods provision to information collection can be depicted as games of strategic interactions, where a player's well-being depends on her own action as well as on the actions taken by her…

物理与社会 · 物理学 2015-04-01 Giulio Cimini , Claudio Castellano , Angel Sánchez

We analyze the stability of a nonlinear dynamical model describing the noncooperative strategic interactions among the agents of a finite collection of populations. Each agent selects one strategy at a time and revises it repeatedly…

系统与控制 · 电气工程与系统科学 2020-10-21 Murat Arcak , Nuno C. Martins

The aim of this paper is to formulate and study a stochastic model for the management of environmental assets in a geographical context where in each place the local authorities take their policy decisions maximizing their own welfare,…

最优化与控制 · 数学 2025-10-27 Emmanuelle Augeraud-Véron , Daria Ghilli , Fausto Gozzi , Marta Leocata

We consider multi-agent decision making where each agent optimizes its convex cost function subject to individual and coupling constraints. The constraint sets are compact convex subsets of a Euclidean space. To learn Nash equilibria, we…

最优化与控制 · 数学 2018-10-16 Tatiana Tatarenko , Maryam Kamgarpour

We analyze a conservative market model for the competition among economic agents in a close society. A minimum dynamics ensures that the poorest agent has a chance to improve its economic welfare. After a transient, the system…

统计力学 · 物理学 2009-11-10 S. Pianegonda , J. R. Iglesias

We discuss the equivalence between kinetic wealth-exchange models, in which agents exchange wealth during trades, and mechanical models of particles, exchanging energy during collisions. The universality of the underlying dynamics is shown…

综合金融 · 定量金融 2009-11-13 Anirban Chakraborti , Marco Patriarca

We present a model in which we investigate the structure and evolution of a random network that connects agents capable of exchanging wealth. Economic interactions between neighbors can occur only if the difference between their wealth is…

物理与社会 · 物理学 2015-06-19 A. Agreda , K. Tucci
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