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We propose an agent-based network formation model under uncertainty with the objective of relaxing the common assumption of complete information, calling attention to the role beliefs may play in segregation. We demonstrate that our model…

Social and Information Networks · Computer Science 2021-05-12 D. Kai Zhang , Alexander Carver

To explain the differentiation of stem cells in terms of dynamical systems theory, models of interacting cells with intracellular protein expression dynamics are analyzed and simulated. Simulations were carried out for all possible protein…

Cell Behavior · Quantitative Biology 2015-06-15 Yusuke Goto , Kunihiko Kaneko

We revisit the problem of introducing an external global field -- the mass media -- in Axelrod's model of social dynamics, where in addition to their nearest neighbors, the agents can interact with a virtual neighbor whose cultural features…

Physics and Society · Physics 2011-10-19 Lucas R. Peres , José F. Fontanari

Spatial statistics is dominated by spatial autocorrelation (SAC) based Kriging and BHM, and spatial local heterogeneity based hotspots and geographical regression methods, appraised as the first and second laws of Geography (Tobler 1970;…

Methodology · Statistics 2024-03-07 Jinfeng Wang , Robert Haining , Tonglin Zhang , Chengdong Xu , Maogui Hu

In this paper we analyze urban spatial segregation phenomenon in terms of the income distribution over a population, and inflationary parameter weighting the evolution of housing prices. For this, we develop a discrete, spatially extended…

Adaptation and Self-Organizing Systems · Physics 2007-08-29 Antonio Aguilera , Edgardo Ugalde

Agent-Based Models (ABMs) are powerful tools for studying emergent properties in complex systems. In ABMs, agent behaviors are governed by local interactions and stochastic rules. However, these rules are, in general, non-differentiable,…

Artificial Intelligence · Computer Science 2025-11-27 Francesco Cozzi , Marco Pangallo , Alan Perotti , André Panisson , Corrado Monti

We explore extensions of Schelling's model of social dynamics, in which two types of agents live on a checkerboard lattice and move in order to optimize their own satisfaction, which depends on how many agents among their neighbors are of…

Statistical Mechanics · Physics 2020-01-24 A. P. Vieira , E. Goles , H. J. Herrmann

In this paper, we study a model reduction technique for leader-follower networked multi-agent systems defined on weighted, undirected graphs with arbitrary linear multivariable agent dynamics. In the network graph of this network, nodes…

Optimization and Control · Mathematics 2016-10-11 Hidde-Jan Jongsma , Petar Mlinarić , Sara Grundel , Peter Benner , Harry L. Trentelman

Over the past decades, breakthroughs such as Reinforcement Learning (RL) and Agent-based modeling (ABM) have made simulations of economic models feasible. Recently, there has been increasing interest in applying ABM to study the impact of…

General Economics · Economics 2022-11-23 Xinyu Li

Collaboration networks provide a method for examining the highly heterogeneous structure of collaborative communities. However, we still have limited theoretical understanding of how individual heterogeneity relates to network…

Physics and Society · Physics 2016-07-27 Katharine A. Anderson

Collective or group intelligence is manifested in the fact that a team of cooperating agents can solve problems more efficiently than when those agents work in isolation. Although cooperation is, in general, a successful problem solving…

Multiagent Systems · Computer Science 2019-12-19 Sandro M. Reia , André C. Amado , José F. Fontanari

The dynamics of many socioeconomic systems is determined by the decision making process of agents. The decision process depends on agent's characteristics, such as preferences, risk aversion, behavioral biases, etc.. In addition, in some…

Statistical Finance · Quantitative Finance 2009-11-13 Gabriella Vaglica , Fabrizio Lillo , Esteban Moro , Rosario N. Mantegna

In the recently introduced model of fair partitioning of friends, there is a set of agents located on the vertices of an underlying graph that indicates the friendships between the agents. The task is to partition the graph into $k$…

Computer Science and Game Theory · Computer Science 2025-03-17 Argyrios Deligkas , Eduard Eiben , Stavros D. Ioannidis , Dušan Knop , Šimon Schierreich

In the Axelrod's model of cultural dissemination, we consider mobility of cultural agents through the introduction of a density of empty sites and the possibility that agents in a dissimilar neighborhood can move to them if their mean…

Physics and Society · Physics 2015-05-13 C. Gracia-Lazaro , L. F. Lafuerza , L. M. Floria , Y. Moreno

A novel theory for cell differentiation is proposed, based on simulations with interacting artificial cells which have metabolic networks within, and divide into two when the final product is accumulated. Results of simulations with coupled…

adap-org · Physics 2015-06-30 Kunihiko Kaneko , Tetsuya Yomo

Over the past decade, contrary to the early popular expectation that large-scale discourse in online communities would foster greater consensus, the large-scale structure of online discourse has been measured to be strongly polarized.…

Physics and Society · Physics 2025-01-28 Vince Campo , Sebastien Motsch , Dylan Weber

Self-organizing complex systems typically are comprised of a large number of frequently similar components or events. Through their process, a pattern at the global-level of a system emerges solely from numerous interactions among the…

Artificial Intelligence · Computer Science 2007-05-23 Vitorino Ramos , Ajith Abraham

We present a simple discrete model for the non-linear spatial interaction of different kinds of ``subpopulations'' composed of identical moving entities like particles, bacteria, individuals, etc. The model allows to mimic a variety of…

Statistical Mechanics · Physics 2007-05-23 Dirk Helbing , Tadeusz Platkowski

In the simplest game-theoretic formulation of Schelling's model of segregation on graphs, agents of two different types each select their own vertex in a given graph so as to maximize the fraction of agents of their type in their occupied…

Computer Science and Game Theory · Computer Science 2022-03-31 Luca Kreisel , Niclas Boehmer , Vincent Froese , Rolf Niedermeier

The dynamical origin of opinion polarization in the real world is an interesting topic physical scientists may help to understand. To properly model the dynamics, the theory must be fully compatible with findings by social psychologists on…

Adaptation and Self-Organizing Systems · Physics 2014-09-03 H. F. Chau , C. Y. Wong , F. K. Chow , C. -H. F. Fung