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We investigate the equilibria of a random model network exhibiting extensive chaos. In this regime, a large number of equilibria is present. They are all saddles with low-dimensional unstable manifolds. Surprisingly, despite network's…

Disordered Systems and Neural Networks · Physics 2025-10-23 Xiaoyu Yang , Giancarlo La Camera , Gianluigi Mongillo

This paper investigates the impact of link formation between a pair of agents on the resource availability of other agents (that is, externalities) in a social cloud network, a special case of endogenous sharing economy networks.…

Computer Science and Game Theory · Computer Science 2019-10-21 Pramod C. Mane , Kapil Ahuja , Nagarajan Krishnamurthy

This essay discusses the advantages of a probabilistic agent-based approach to questions in theoretical economics, from the nature of economic agents, to the nature of the equilibria supported by their interactions. One idea we propose is…

General Finance · Quantitative Finance 2013-11-05 Ted Theodosopoulos

The evolution of leadership in migratory populations depends not only on costs and benefits of leadership investments but also on the opportunities for individuals to rely on cues from others through social interactions. We derive an…

Adaptation and Self-Organizing Systems · Physics 2013-05-17 Darren Pais , Naomi Ehrich Leonard

Resource allocation takes place in various kinds of real-world complex systems, such as the traffic systems, social services institutions or organizations, or even the ecosystems. The fundamental principle underlying complex…

Physics and Society · Physics 2013-08-06 Ji-Qiang Zhang , Zi-Gang Huang , Zi-Gang Huang , Liang Huang , Tie-Qiao Huang , Ying-Cheng Lai

Studies on social networks highlight the importance of network structure or structural properties of a given network and its impact on performance outcome. One of the important properties of this network structure is referred as "social…

Social and Information Networks · Computer Science 2011-12-13 Alireza Abbasi , Liaquat Hossain , Rolf Wigand

Mechanisms of pattern formation---of which the Turing instability is an archetype---constitute an important class of dynamical processes occurring in biological, ecological and chemical systems. Recently, it has been shown that the Turing…

Disordered Systems and Neural Networks · Physics 2019-06-19 Sayat Mimar , Mariamo Mussa Juane , Juyong Park , Alberto P. Munuzuri , Gourab Ghoshal

Redistribution of resources within a group as a method to reduce wealth inequality is a current area of debate. The evolutionary path to or away from wealth sharing is also a subject of active research. In order to investigate effects and…

Physics and Society · Physics 2023-05-30 John C. Stevenson

How do networks of relationships evolve over time? We analyse a dataset tracking the social interactions of 900 individuals over four years. Despite continuous shifts in individual relationships, the macroscopic structural properties of the…

Physics and Society · Physics 2025-06-04 Miguel A. González-Casado , Andreia Sofia Teixeira , Angel Sánchez

Several populational networks present complex topologies when implemented in evolutionary algorithms. A common feature of these topologies is the emergence of a power law. Power law behavior with different scaling factors can also be…

Computation · Statistics 2022-03-08 Francisco Leonardo Bezerra Martins , José Cláudio do Nascimento

We present an empirical analysis of the network formed by the trade relationships between all world countries, or World Trade Web (WTW). Each (directed) link is weighted by the amount of wealth flowing between two countries, and each…

Physics and Society · Physics 2009-02-06 D. Garlaschelli , T. Di Matteo , T. Aste , G. Caldarelli , M. I. Loffredo

Recent research has shown the deep impact of the dynamics of human interactions (or temporal social networks) on the spreading of information, opinion formation, etc. In general, the bursty nature of human interactions lowers the…

Physics and Society · Physics 2015-06-16 Giovanna Miritello , Rubén Lara , Esteban Moro

Node centrality is one of the most important and widely used concepts in the study of complex networks. Here, we extend the paradigm of node centrality in financial and economic networks to consider the changes of node "importance" produced…

Mathematical Finance · Quantitative Finance 2020-06-05 Paolo Bartesaghi , Michele Benzi , Gian Paolo Clemente , Rosanna Grassi , Ernesto Estrada

We study the effect of adaptivity on a social model of opinion dynamics and consensus formation. We analyze how the adaptivity of the network of contacts between agents to the underlying social dynamics affects the size and topological…

Physics and Society · Physics 2008-05-23 Balazs Kozma , Alain Barrat

Agents often have individual goals which depend on a group's actions. If agents trust a forecast of collective action and adapt strategically, such prediction can influence outcomes non-trivially, resulting in a form of performative…

Machine Learning · Computer Science 2025-02-18 António Góis , Mehrnaz Mofakhami , Fernando P. Santos , Gauthier Gidel , Simon Lacoste-Julien

Understanding the emergence of prosocial behaviours (e.g., cooperation and trust) among self-interested agents is an important problem in many disciplines. Network structure and institutional incentives (e.g., punishing antisocial agents)…

Physics and Society · Physics 2022-03-29 Ik Soo Lim , Valerio Capraro

In the manuscript, we are interested in using kinetic theory to better understand the time evolution of wealth distribution and their large scale behavior such as the evolution of inequality (e.g. Gini index). We investigate three type of…

Probability · Mathematics 2021-05-18 Fei Cao , Sebastien Motsch

Many societal challenges, such as climate change or disease outbreaks, require coordinated behavioral changes. For many behaviors, the tendency of individuals to adhere to social norms can reinforce the status quo. However, these same…

We show, both numerically and analytically, that the consequences of 'wiring up' a competitive population depend quite dramatically on the interplay between the local connectivity and the global resources. With modest global resources,…

Disordered Systems and Neural Networks · Physics 2007-05-23 S. Gourley , S. C. Choe , P. M. Hui , N. F. Johnson

Wealth distribution is a complex and critical aspect of any society. Information exchange is considered to have played a role in shaping wealth distribution patterns, but the specific dynamic mechanism is still unclear. In this research, we…

Computer Vision and Pattern Recognition · Computer Science 2023-04-04 Yang Shao , Hirokazu Atsumori , Tadayuki Matsumura , Kanako Esaki , Shunsuke Minusa , Hiroyuki Mizuno