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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

The dynamics of wealth distribution plays a critical role in the economic market, hence an understanding of its nonequilibrium statistical mechanics is of great importance to human society. For this aim, a simple and efficient…

Physics and Society · Physics 2020-10-28 Lijie Cui , Chuandong Lin

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

This paper investigates the dynamics of competition among organizations with unequal expertise. Multi-agent reinforcement learning has been used to simulate and understand the impact of various incentive schemes designed to offset such…

Computer Science and Game Theory · Computer Science 2022-01-06 Paramita Koley , Aurghya Maiti , Sourangshu Bhattacharya , Niloy Ganguly

Dissensus is a modeling framework for networks of dynamic agents in competition for scarce resources. Originally inspired by biological cells behaviors, it fits also marketing, finance and many other application areas. Competition is often…

Optimization and Control · Mathematics 2016-11-17 D. Bauso , L. Giarre' , R. Pesenti

The statistical mechanics approach to wealth distribution is based on the conservative kinetic multi-agent model for money exchange, where the local interaction rule between the agents is analogous to the elastic particle scattering…

General Finance · Quantitative Finance 2016-06-16 M. Andrecut

We propose some kinetic models of wealth exchange and investigate their behavior on directed networks though numerical simulations. We observe that network topology and directedness yields a variety of interesting features in these models.…

Physics and Society · Physics 2009-11-13 Arnab Chatterjee

We present a stochastic, agent-based, binary-transaction Asset-Exchange Model (AEM) for wealth distribution that allows for agents with negative wealth. This model retains certain features of prior AEMs such as redistribution and…

General Finance · Quantitative Finance 2018-02-16 Jie Li , Bruce M. Boghosian , Chengli Li

Large language model (LLM) agents trained using reinforcement learning has achieved superhuman performance in low-cost environments like games, mathematics, and coding. However, these successes have not translated to complex domains where…

Artificial Intelligence · Computer Science 2026-02-03 Sherry Yang

We consider a fully cooperative multi-agent system where agents cooperate to maximize a system's utility in a partial-observable environment. We propose that multi-agent systems must have the ability to (1) communicate and understand the…

Artificial Intelligence · Computer Science 2021-01-01 Jianyu Su , Stephen Adams , Peter A. Beling

As frontier language models are increasingly deployed as autonomous agents pursuing complex, long-term objectives, there is increased risk of scheming: agents covertly pursuing misaligned goals. Prior work has focused on showing agents are…

Artificial Intelligence · Computer Science 2026-03-31 Mia Hopman , Jannes Elstner , Maria Avramidou , Amritanshu Prasad , David Lindner

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

We consider continuous-time consensus seeking systems whose time-dependent interactions are cut-balanced, in the following sense: if a group of agents influences the remaining ones, the former group is also influenced by the remaining ones…

Systems and Control · Computer Science 2013-04-29 Julien M. Hendrickx , John N. Tsitsiklis

We study the effect of contingent movement on the persistence of cooperation on complex networks with empty nodes. Each agent plays Prisoner's Dilemma game with its neighbors and then it either updates the strategy depending on the payoff…

Populations and Evolution · Quantitative Biology 2018-04-18 Genki Ichinose , Yoshiki Satotani , Takashi Nagatani

Multi-agent models have been used in many contexts to study generic collective behavior. Similarly, complex networks have become very popular because of the diversity of growth rules giving rise to scale-free behavior. Here we study…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 Z. Burda , A. Krzywicki , O. C. Martin

We investigate the problem of wealth distribution from the viewpoint of asset exchange. Robust nature of Pareto's law across economies, ideologies and nations suggests that this could be an outcome of trading strategies. However, the simple…

Trading and Market Microstructure · Quantitative Finance 2009-11-13 M. Ali Saif , Prashant M. Gade

We develop a model for the evolution of wealth in a non-conservative economic environment, extending a theory developed earlier by the authors. The model considers a system of rational agents interacting in a game theoretical framework.…

General Finance · Quantitative Finance 2015-06-19 Pierre Degond , Jian-Guo Liu , Christian Ringhofer

We study a lattice model of ``commons'', where a resource is shared locally among the agents of various cooperative tendency. The payoff function of an agent is proportional to the fraction of his operation rate and the net output of the…

Statistical Mechanics · Physics 2007-05-23 Agha Afsar Ali

In recent years, there has been a proliferation of online gambling sites, which made gambling more accessible with a consequent rise in related problems, such as addiction. Hence, the analysis of the gambling behaviour at both the…

Physics and Society · Physics 2019-07-24 Giuseppe Toscani , Andrea Tosin , Mattia Zanella

We formulate a flexible micro-to-macro kinetic model which is able to explain the emergence of income profiles out of a whole of individual economic interactions. The model is expressed by a system of several nonlinear differential…

Economics · Quantitative Finance 2016-11-28 Maria Letizia Bertotti , Giovanni Modanese
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