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We offer a solution to a long-standing problem in the physics of networks, the creation of a plausible, solvable model of a network that displays clustering or transitivity -- the propensity for two neighbors of a network node also to be…

统计力学 · 物理学 2009-08-13 M. E. J. Newman

We consider a countable system of interacting (possibly non-Markovian) stochastic differential equations driven by independent Brownian motions and indexed by the vertices of a locally finite graph $G = (V,E)$. The drift of the process at…

概率论 · 数学 2020-09-28 Daniel Lacker , Kavita Ramanan , Ruoyu Wu

The behavior of interacting populations typically displays irregular temporal and spatial patterns that are difficult to reconcile with an underlying deterministic dynamics. A classical example is the heterogeneous distribution of plankton…

种群与进化 · 定量生物学 2009-11-13 M. H. Vainstein , J. M. Rubi , J. M. G. Vilar

Many studies investigated the application of statistical mechanics to damage phenomena. However, so far the association of damage with statistical mechanics is far from completely developed. One of the most successful approaches maps the…

统计力学 · 物理学 2009-12-28 S. G. Abaimov

The collective behavior of a coupled map lattice having {\it unbounded} chaotic local dynamics is investigated through the properties of its mean field. The presence of unstable periodic orbits in the local maps determines the emergence of…

chao-dyn · 物理学 2009-10-28 M. G. Cosenza

This paper introduces a novel approach of clustering, which is based on group consensus of dynamic linear high-order multi-agent systems. The graph topology is associated with a selected multi-agent system, with each agent corresponding to…

系统与控制 · 计算机科学 2017-06-13 Ning Cai , Chen Diao , M. Junaid Khan

In the last years the Prisoner Dilemma (PD) has become a paradigm for the study of the emergence of cooperation in spatially structured populations. Such structure is usually assumed to be given by a graph. In general, the success of…

适应与自组织系统 · 物理学 2011-03-28 M. N. Kuperman , S. Risau-Gusman

Community detection is an important tool for analyzing the social graph of mobile phone users. The problem of finding communities in static graphs has been widely studied. However, since mobile social networks evolve over time, static graph…

社会与信息网络 · 计算机科学 2013-12-04 Carlos Sarraute , Gervasio Calderon

The formal study of coalition formation in multi-agent systems is typically realized in the framework of hedonic games, which originate from economic theory. The main focus of this branch of research has been on the existence and the…

计算机科学与博弈论 · 计算机科学 2022-11-18 Felix Brandt , Martin Bullinger , Anaëlle Wilczynski

Human mobility and activity patterns mediate contagion on many levels, including the spatial spread of infectious diseases, diffusion of rumors, and emergence of consensus. These patterns however are often dominated by specific locations…

物理与社会 · 物理学 2011-07-05 Duygu Balcan , Alessandro Vespignani

The Schelling model is a simple agent based model that demonstrates how individuals' relocation decisions generate residential segregation in cities. Agents belong to one of two groups and occupy cells of rectangular space. Agents react to…

物理与社会 · 物理学 2014-06-25 Erez Hatna , Itzhak Benenson

There is discussion if traffic displays multiple phases (e.g. laminar, jammed, synchronized) or not. This paper presents evidence that a stochastic car following model, by changing one of its parameters, can be moved from showing two phases…

统计力学 · 物理学 2007-05-23 Dominic Jost , Kai Nagel

We introduce a simple lattice model of traffic flow in a city where drivers optimize their route-selection in time in order to avoid traffic jams, and study its phase structure as a function of the density of vehicles and of the drivers'…

统计力学 · 物理学 2015-06-24 A. De Martino , M. Marsili , R. Mulet

We construct and analyze a random graph model for discrete choice with social interaction and several groups of equal size. We concentrate on the case of two groups of equal sizes and we allow the interaction strength within a group to…

概率论 · 数学 2020-07-15 Matthias Löwe , Kristina Schubert , Franck Vermet

Starting from the instability diagram of a traffic flow model, we derive conditions for the occurrence of congested traffic states, their appearance, their spreading in space and time, and the related increase in travel times. We discuss…

物理与社会 · 物理学 2009-10-26 Dirk Helbing , Martin Treiber , Arne Kesting , Martin Schönhof

We define and analyze a multi-agent multi-armed bandit problem in which decision-making agents can observe the choices and rewards of their neighbors. Neighbors are defined by a network graph with heterogeneous and stochastic…

最优化与控制 · 数学 2019-05-22 Udari Madhushani , Naomi Ehrich Leonard

We study communities emerging from generalised random Lotka--Volterra dynamics with a large number of species with interactions determined by the degree of niche overlap. Each species is endowed with a number of traits, and competition…

种群与进化 · 定量生物学 2023-11-30 Enrique Rozas Garcia , Mark J. Crumpton , Tobias Galla

This paper develops a game-theoretic model and an agent-based model to study group formation driven by resource pooling, spatial cohesion, and heterogeneity. We focus on cross-sector partnerships (CSPs) involving public, private, and…

计算机科学与博弈论 · 计算机科学 2025-09-24 Chenlan Wang , Jimin Han , Diana Jue-Rajasingh

This paper provides a general method to translate a standard economic model with a large number of agents into a field-formalism model. This formalism preserves the system's interactions and microeconomic features at the individual level…

综合金融 · 定量金融 2023-12-29 Pierre Gosselin , Aïleen Lotz

We propose a statistical mechanics approach to a coevolving spin system with an adaptive network of interactions. The dynamics of node states and network connections is driven by both spin configuration and network topology. We consider a…

物理与社会 · 物理学 2018-10-03 Tomasz Raducha , Mateusz Wiliński , Tomasz Gubiec , H. Eugene Stanley