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Like other social animals and biological systems, human groups constantly exchange information. Network models provide a way of quantifying this process by representing the pathways of information propagation between individuals. Existing…

Social and Information Networks · Computer Science 2024-10-18 Niek Kerssies , Jose Segovia Martin , James Winters

We introduce and solve a model that mimics the herding effect in financial markets when groups of agents share information. The number of agents in the model is growing and at each time step either (i) with probability $p$ an incoming agent…

Disordered Systems and Neural Networks · Physics 2009-11-07 G. J. Rodgers , Dafang Zheng

Current societal challenges exceed the capacity of humans operating either alone or collectively. As AI evolves, its role within human collectives will vary from an assistive tool to a participatory member. Humans and AI possess…

Computers and Society · Computer Science 2024-11-26 Hao Cui , Taha Yasseri

Here we present an agent-based model where agents interact with other agents by playing a hybrid of dictator and ultimatum games in a co-evolving social network. The basic assumption about the behaviour of the agents in both games is that…

Physics and Society · Physics 2020-08-20 Jan E. Snellman , Rafael Barrio , Kimmo Kaski

We consider a community detection problem for gossip dynamics with stubborn agents in this paper. It is assumed that the communication probability matrix for agent pairs has a block structure. More specifically, we assume that the network…

Systems and Control · Electrical Eng. & Systems 2020-12-01 Yu Xing , Xingkang He , Haitao Fang , Karl Henrik Johansson

Many scientific collaboration networks exhibit clear community and small world structures. However, the studies on the underlying mechanisms for the formation and evolution of community and small world structures are still insufficient. The…

Physics and Society · Physics 2015-10-28 Peng Liu , Shuangling Luo , Haoxiang Xia

Large Language Models (LLMs) can be deployed in situations where they process positive/negative interactions with other agents. We study how this is done under the sociological framework of social balance, which explains the emergence of…

Computation and Language · Computer Science 2026-01-07 Pedro Cisneros-Velarde

The emerging collective motions of swarms of interacting agents are a subject of great interest in application areas ranging from biology to physics and robotics. In this paper, we conduct a careful analysis of the collective dynamics of a…

Adaptation and Self-Organizing Systems · Physics 2014-09-04 Klementyna Szwaykowska , Luis Mier-y-Teran Romero , Ira B. Schwartz

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

Self-organization is a process where a stable pattern is formed by the cooperative behavior between parts of an initially disordered system without external control or influence. It has been introduced to multi-agent systems as an internal…

Artificial Intelligence · Computer Science 2021-05-27 Jieting Luo , Beishui Liao , John-Jules Meyer

A deterministic system of interacting agents is considered as a model for economic dynamics. The dynamics of the system is described by a coupled map lattice with near neighbor interactions. The evolution of each agent results from the…

General Finance · Quantitative Finance 2009-11-13 J. Gonzalez-Estevez , M. G. Cosenza , R. Lopez-Ruiz , J. R. Sanchez

In two-sided matching markets, the agents are partitioned into two sets. Each agent wishes to be matched to an agent in the other set and has a strict preference over these potential matches. A matching is stable if there are no blocking…

Computer Science and Game Theory · Computer Science 2013-02-26 Georgios Askalidis , Nicole Immorlica , Emmanouil Pountourakis

It is not uncommon for certain social networks to divide into two opposing camps in response to stress. This happens, for example, in networks of political parties during winner-takes-all elections, in networks of companies competing to…

Adaptation and Self-Organizing Systems · Physics 2015-05-20 Seth A. Marvel , Jon M. Kleinberg , Robert D. Kleinberg , Steven H. Strogatz

In this paper, a new framework to study weighed networks is introduced. The idea behind this methodology is to consider that each node of the network is an agent that desires to satisfy his/her preferences in an economic sense. Moreover,…

Physics and Society · Physics 2009-11-11 Daniel O. Cajueiro

We consider the problem of efficiently simulating population protocols. In the population model, we are given a distributed system of $n$ agents modeled as identical finite-state machines. In each time step, a pair of agents is selected…

Data Structures and Algorithms · Computer Science 2020-05-08 Petra Berenbrink , David Hammer , Dominik Kaaser , Ulrich Meyer , Manuel Penschuck , Hung Tran

Communities are an important feature of social networks. The goal of this paper is to propose a mathematical model to study the community structure in social networks. For this, we consider a particular case of a social network, namely…

Social and Information Networks · Computer Science 2020-04-14 Peter Marbach

Learning to communicate is considered an essential task to develop a general AI. While recent literature in language evolution has studied emergent language through discrete or continuous message symbols, there has been little work in the…

Multiagent Systems · Computer Science 2021-09-17 Shresth Verma , Joydip Dhar

Two mobile agents represented by points freely moving in the plane and starting at two distinct positions, have to meet. The meeting, called rendezvous, occurs when agents are at distance at most $r$ of each other and never move after this…

Data Structures and Algorithms · Computer Science 2020-05-05 Sébastien Bouchard , Yoann Dieudonné , Andrzej Pelc , Franck Petit

Evolutionary Game Theory (EGT) and Artificial Intelligence (AI) are two fields that, at first glance, might seem distinct, but they have notable connections and intersections. The former focuses on the evolution of behaviors (or strategies)…

Physics and Society · Physics 2024-03-13 Long Wang , Feng Fu , Xingru Chen

This study examines how interactions among artificially intelligent (AI) agents, guided by large language models (LLMs), drive the evolution of collective network structures. We ask LLM-driven agents to grow a network by informing them…

Physics and Society · Physics 2025-10-06 Aliakbar Mehdizadeh , Martin Hilbert
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