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Complex networks in different areas exhibit degree distributions with heavy upper tail. A preferential attachment mechanism in a growth process produces a graph with this feature. We herein investigate a variant of the simple preferential…

Probability · Mathematics 2018-04-18 Angelica Pachon , Laura Sacerdote , Shuyi Yang

Understanding the structure and formation of networks is a central topic in complexity science. Economic networks are formed by decisions of individual agents and thus not properly described by established random graph models. In this…

Physics and Society · Physics 2023-08-10 Chengyuan Han , Malte Schröder , Dirk Witthaut , Philipp C. Böttcher

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

The mechanism of preferential attachment underpins most recent social network formation models. Yet few authors attempt to check or quantify assumptions on this mechanism. We call generalized preferential attachment any kind of preference…

Adaptation and Self-Organizing Systems · Physics 2007-05-23 Camille Roth

Cooperation between individuals is emergent in all parts of society, yet mechanistic reasons for this emergence is ill understood in the literature. A specific example of this is insurance. Recent work has, though, shown that assuming the…

Physics and Society · Physics 2024-03-20 Tobias Wand , Oliver Kamps , Benjamin Skjold

We propose a novel network formation game that explains the emergence of various hierarchical structures in groups where self-interested or utility-maximizing individuals decide to establish or severe relationships of authority or…

Computer Science and Game Theory · Computer Science 2021-09-15 Pedro Cisneros-Velarde , Francesco Bullo

We develop a theory of intelligent agency grounded in probabilistic modeling for neural models. Agents are represented as outcome distributions with epistemic utility given by log score, and compositions are defined through weighted…

Machine Learning · Computer Science 2026-05-13 Su Hyeong Lee , Risi Kondor , Richard Ngo

We review the recent fast progress in statistical physics of evolving networks. Interest has focused mainly on the structural properties of random complex networks in communications, biology, social sciences and economics. A number of giant…

Statistical Mechanics · Physics 2015-06-24 S. N. Dorogovtsev , J. F. F. Mendes

A model of Boolean agents competing in a market is presented where each agent bases his action on information obtained from a small group of other agents. The agents play a competitive game that rewards those in the minority. After a long…

Statistical Mechanics · Physics 2009-10-31 Maya Paczuski , Kevin E. Bassler , Alvaro Corral

In the celebrated stable-matching problem, there are two sets of agents M and W, and the members of M only have preferences over the members of W and vice versa. It is usually assumed that each member of M and W is a single entity. However,…

Computer Science and Game Theory · Computer Science 2024-08-21 Leora Schmerler , Noam Hazon , Sarit Kraus

Pattern forming systems allow for a wealth of states, where wavelengths and orientation of patterns varies and defects disrupt patches of monocrystalline regions. Growth of patterns has long been recognized as a strong selection mechanism.…

Pattern Formation and Solitons · Physics 2023-02-28 Ryan Goh , Arnd Scheel

In order to represent the preferences of a group of individuals, we introduce Probabilistic CP-nets (PCP-nets). PCP-nets provide a compact language for representing probability distributions over preference orderings. We argue that they are…

Artificial Intelligence · Computer Science 2013-09-27 Damien Bigot , Bruno Zanuttini , Helene Fargier , Jerome Mengin

Many real-world networks such as social networks consist of strategic agents. The topology of these networks often plays a crucial role in determining the ease and speed with which certain information driven tasks can be accomplished.…

Social and Information Networks · Computer Science 2017-07-03 Swapnil Dhamal , Y. Narahari

Agent-based models help explain stock price dynamics as emergent phenomena driven by interacting investors. In this modeling tradition, investor behavior has typically been captured by two distinct mechanisms -- learning and heterogeneous…

Computers and Society · Computer Science 2025-11-12 Ryuji Hashimoto , Ryosuke Takata , Masahiro Suzuki , Yuki Tanaka , Kiyoshi Izumi

The society has a multi-layered structure, where the layers represent the different contexts. To model this structure we begin with a single-layer weighted social network (WSN) model showing the Granovetterian structure. We find that when…

Physics and Society · Physics 2016-09-28 Janos Kertesz , Janos Torok , Yohsuke Murase , Hang-Hyun Jo , Kimmo Kaski

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

Social groups with widely different music tastes, political convictions, and religious beliefs emerge and disappear on scales from extreme subcultures to mainstream mass-cultures. Both the underlying social structure and the formation of…

Physics and Society · Physics 2007-11-12 M. Rosvall , K. Sneppen

We consider an opinion dynamics model where, during random pair interactions, each agent modifies her opinions about both agents of the random pair and also about some other agents, chosen randomly. Moreover, each agent belongs to a single…

Multiagent Systems · Computer Science 2023-01-25 Guillaume Deffuant , Thibaut Roubin

We study the evolution of preferences in multi-population settings that allow matches across distinct populations. Each individual has subjective preferences over potential outcomes, and chooses a best response based on his preferences and…

Computer Science and Game Theory · Computer Science 2024-09-20 Yu-Sung Tu , Wei-Torng Juang

We present an extensive study of the joint effects of heterogeneous social agents and their heterogeneous social links in a bounded confidence opinion dynamics model. The full phase diagram of the model is explored for two different…

Physics and Society · Physics 2023-01-24 Rémi Perrier , Hendrik Schawe , Laura Hernández