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A network of agents interacting both with competitive and/or cooperative mechanisms is modeled by using fermionic ladder operators. The time evolution of the network is assumed to be governed by a Hermitian time-independent Hamiltonian…

Physics and Society · Physics 2025-05-30 G. Giunta , M. Gorgone , F. Oliveri

Yard-Sale (YS) is a stochastic multiplicative wealth-exchange model with two phases: a stable one where wealth is shared, and an unstable one where wealth condenses onto one agent. YS is here studied numerically on 1d rings, 2d square…

General Finance · Quantitative Finance 2015-06-11 R. Bustos-Guajardo , Cristian F. Moukarzel

Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly described by established random graph models. In this…

Physics and Society · Physics 2023-08-10 Chengyuan Han , Malte Schröder , Dirk Witthaut , Philipp C. Böttcher

We construct a model of an exchange economy in which agents trade assets contingent on an observable signal, the probability of which depends on public opinion. The agents in our model are replaced occasionally and each person updates…

Theoretical Economics · Economics 2022-04-28 Jean-Philippe Bouchaud , Roger Farmer

We consider a heterogeneous agent-based economic model where economic agents have strictly bounded rationality and where income allocation strategies evolve through selective imitation. Income is calculated by a Cobb-Douglas type production…

Trading and Market Microstructure · Quantitative Finance 2010-09-15 Volker Nannen

A model of distribution of the wealth in a society based on the properties of complex networks has been proposed. The wealth is interpreted as a consequence of communication possibilities and proportional to the number of connections…

Physics and Society · Physics 2010-10-12 D. Lande , A. Snarskii , M. Zhenirovskyy

We model a social network by a random graph whose nodes represent agents and links between two of them stand for a reciprocal interaction; each agent is also associated to a binary variable which represents a dichotomic opinion or…

Physics and Society · Physics 2009-11-06 Elena Agliari , Adriano Barra , Raffaella Burioni , Pierluigi Contucci

We propose a simple model of a social network based on so-called knights-and-knaves puzzles. The model describes the formation of networks between two classes of agents where links are formed by agents introducing their neighbours to others…

Physics and Society · Physics 2011-11-04 Charo I. Del Genio , Thilo Gross

The emergence of cooperation in the groups of interacting agents is one of the most fascinating phenomena observed in many complex systems studied in social science and ecology, even in the situations where one would expect the agent to use…

Physics and Society · Physics 2026-05-12 Jarosław Adam Miszczak

This paper investigates the interplay between information diffusion in social networks and its impact on financial markets with an Agent-Based Model (ABM). Agents receive and exchange information about an observable stochastic component of…

General Economics · Economics 2024-12-24 Tommaso Di Francesco , Daniel Torren Peraire

Different models to study the wealth distribution in an artificial society have considered a transactional dynamics as the driving force. Those models include a risk aversion factor, but also a finite probability of favoring the poorer…

Physics and Society · Physics 2009-11-11 M. A. Fuentes , M. N. Kuperman , J. R. Iglesias

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…

Statistical Mechanics · Physics 2009-11-10 S. Pianegonda , J. R. Iglesias

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

Excessive wealth concentration can undermine economic and social development. Random Asset Exchange (RAE) models provide valuable tools to investigate this phenomenon. Assuming that economic systems may operate optimally near the critical…

Statistical Mechanics · Physics 2025-09-10 Nicolás Vazquez Von Bibow , Juan I. Perotti

We model a system of networking agents that seek to optimize their centrality in the network while keeping their cost, the number of connections they are participating in, low. Unlike other game-theory based models for network evolution,…

Populations and Evolution · Quantitative Biology 2007-05-23 Petter Holme , Gourab Ghoshal

The question how social norms can emerge from microscopic interactions between individuals is a key problem in social sciences to explain collective behavior. In this paper we propose an agent-based model to show that randomly distributed…

Adaptation and Self-Organizing Systems · Physics 2008-09-07 Thomas Fent , Patrick Groeber , Frank Schweitzer

In our model, $n$ traders interact with each other and with a central bank; they are taxed on the money they make, some of which is dissipated away by corruption. A generic feature of our model is that the richest trader always wins by…

Physics and Society · Physics 2008-12-02 Anita Mehta , A. S. Majumdar , J. M. Luck

We consider a sharing economy network where agents embedded in a graph share their resources. This is a fundamental model that abstracts numerous emerging applications of collaborative consumption systems. The agents generate a random…

Computer Science and Game Theory · Computer Science 2017-03-29 Leonidas Georgiadis , George Iosifidis , Leandros Tassiulas

We consider a simple model of a closed economic system where the total money is conserved and the number of economic agents is fixed. In analogy to statistical systems in equilibrium, money and the average money per economic agent are…

Statistical Mechanics · Physics 2009-10-31 Anirban Chakraborti , Bikas K. Chakrabarti

We have developed an evolutionary game model, where agents can choose between two forms of social participation: interaction via online social networks and interaction by exclusive means of face-to-face encounters. We illustrate the…

Social and Information Networks · Computer Science 2016-03-21 Angelo Antoci , Fabio Sabatini , Francesco Sarracino
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