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In human societies, people's willingness to compete and strive for better social status as well as being envious of those perceived in some way superior lead to social structures that are intrinsically hierarchical. Here we propose an…

Multiagent Systems · Computer Science 2021-04-28 Jan E. Snellman , Gerardo Iñiguez , Tzipe Govezensky , Rafael A. Barrio , Kimmo K. Kaski

The dynamics of network formation are generally very complex, making the study of distributions over the space of networks often intractable. Under a condition called conservativeness, I show that the stationary distribution of a network…

Theoretical Economics · Economics 2025-04-15 Jose M. Betancourt

We consider a nonlinear kinetic equation of Boltzmann type which takes into account the influence of conviction during the formation of opinion in a system of agents which interact through the binary exchanges introduced in [G. Toscani,…

Physics and Society · Physics 2015-12-09 Carlo Brugna , Giuseppe Toscani

We investigate a simple generative model for network formation. The model is designed to describe the growth of networks of kinship, trading, corporate alliances, or autocatalytic chemical reactions, where feedback is an essential element…

Disordered Systems and Neural Networks · Physics 2009-11-11 Douglas R. White , Natasa Kejzar , Constantino Tsallis , Doyne Farmer , Scott White

In our multi-agent model agents generate wealth from repeated interactions for which a prisoner's dilemma payoff matrix is assumed. Their gains are taxed by a government at a rate $\alpha$. The resulting budget is spent to cover…

Physics and Society · Physics 2021-06-30 Frank Schweitzer , Luca Verginer , Giacomo Vaccario

We present a simple dynamical model for describing trading interactions between agents in a social network by considering only two dynamical variables, namely money and goods or services, that are assumed conserved over the whole time span…

Physics and Society · Physics 2017-02-01 Rafael A. Barrio , Tzipe Govezensky , Élfego Ruiz-Gutiérrez , Kimmo K. Kaski

A simple model is proposed to simulate the evolution of interpersonal relationships in a class. The small social network is simply assumed as an undirected and weighted graph, in which students are represented by vertices, and the extent of…

Other Condensed Matter · Physics 2007-05-23 Bo Hu , Xin-Yu Jiang , Jun-Feng Ding , Yan-Bo Xie , Bing-Hong Wang

We consider a model of power distribution in a social system where a set of agents play a simple game on a graph: the probability of winning each round is proportional to the agent's current power, and the winner gets more power as a…

Physics and Society · Physics 2019-07-30 Silvia N. Santalla , Kostadin Koroutchev , Elka Korutcheva , Javier Rodriguez-Laguna

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

An equation for the evolution of the distribution of wealth in a population of economic agents making binary transactions with a constant total amount of "money" has recently been proposed by one of us (RLR). This equation takes the form of…

Adaptation and Self-Organizing Systems · Physics 2014-07-29 Yves Pomeau , Ricardo Lopez-Ruiz

We introduce an agent-based model for the spreading of technological developments in socio-economic systems where the technology is mainly used for the collaboration/interaction of agents. Agents use products of different technologies to…

Physics and Society · Physics 2009-11-13 Ferenc Kun , Gergely Kocsis , Janos Farkas

We introduce a minimal agent-based model to qualitatively conceptualize the allocation of limited wealth among more abundant opportunities. We study the interplay of power, satisfaction and frustration in distribution, concentration, and…

Physics and Society · Physics 2015-10-05 Benoit Mahault , Avadh Saxena , Cristiano Nisoli

We model a closed economic system with interactions that generates the features of empirical wealth distribution across all wealth brackets, namely a Gibbsian trend in the lower and middle wealth range and a Pareto trend in the higher…

General Finance · Quantitative Finance 2008-12-02 Marisciel L. Palima , Eduardo J. David

We introduce an agent-based acquaintance model in which social links are created by processes in which there is no explicit homophily. In spite of the homogeneous nature of the social interactions, highly-clustered social networks can…

Physics and Society · Physics 2014-11-26 Uttam Bhat , P. L. Krapivsky , S. Redner

The efficient use of available resources is a key factor in achieving success on both personal and organizational levels. One of the crucial resources in knowledge economy is time. The ability to force others to adapt to our schedule even…

Multiagent Systems · Computer Science 2017-06-06 Michal Kakol , Radoslaw Nielek , Adam Wierzbicki

We present an investment model integrated with trust-reputation mechanisms where agents interact with each other to establish investment projects. We investigate the establishment of investment projects, the influence of the interaction…

Social and Information Networks · Computer Science 2015-03-19 J. -Emeterio Navarro-Barrientos

Firm growth process in the developing economies is known to produce divergence in their growth path giving rise to bimodality in the size distribution. Similar bimodality has been observed in wealth distribution as well. Here, we introduce…

General Finance · Quantitative Finance 2015-06-15 Anindya S. Chakrabarti

Social and economic inequality is a plague of the XXI Century. It is continuously widening, as the wealth of a relatively small group increases and, therefore, the rest of the world shares a shrinking fraction of resources. This situation…

General Finance · Quantitative Finance 2021-02-03 José Roberto Iglesias , Ben-Hur Francisco Cardoso , Sebastián Gonçalves

We present a novel model to simulate real social networks of complex interactions, based in a granular system of colliding particles (agents). The network is build by keeping track of the collisions and evolves in time with correlations…

Physics and Society · Physics 2009-11-11 M. C. Gonzalez , P. G. Lind , H. J. Herrmann

We study a network formation game where agents receive benefits by forming connections to other agents but also incur both direct and indirect costs from the formed connections. Specifically, once the agents have purchased their…

Computer Science and Game Theory · Computer Science 2019-06-04 Yu Chen , Shahin Jabbari , Michael Kearns , Sanjeev Khanna , Jamie Morgenstern