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Competition between alternative states is an essential process in social and biological networks. Neutral competition can be represented by an unbiased random drift process in which the states of vertices (e.g., opinions, genotypes, or…

Physics and Society · Physics 2021-08-18 Kota Ishida , Beata Oborny , Michael T. Gastner

Resources are often limited, therefore it is essential how convincingly competitors present their claims for them. Beside a player's natural capacity, here overconfidence and bluffing may also play a decisive role and influence how to share…

Physics and Society · Physics 2016-12-06 Kun Li , Attila Szolnoki , Rui Cong , Long Wang

The wisdom of crowds is an umbrella term for phenomena suggesting that the collective judgment or decision of a large group can be more accurate than the individual judgments or decisions of the group members. A well-known example…

Optimization and Control · Mathematics 2025-06-24 Giacomo Como , Fabio Fagnani , Anton Proskurnikov

We study the dynamics of the batch minority game, with random external information, using generating functional techniques a la De Dominicis. The relevant control parameter in this model is the ratio $\alpha=p/N$ of the number $p$ of…

Disordered Systems and Neural Networks · Physics 2009-10-31 J. A. F. Heimel , A. C. C. Coolen

Recent empirical observations suggest that network transitivity is highly correlated with community structure in many real-world networks. In this paper, we theoretically investigate this relationship by deriving the limits of the global…

Statistics Theory · Mathematics 2026-04-22 Mingao Yuan , Irin Rahman , Chengay S Wangchuk

We introduce a simple extension of the minority game in which the market rewards contrarian (resp. trend-following) strategies when it is far from (resp. close to) efficiency. The model displays a smooth crossover from a regime where…

Disordered Systems and Neural Networks · Physics 2009-11-10 A. De Martino , I. Giardina , M. Marsili , A. Tedeschi

We study a version of the minority game in which one agent is allowed to join the game in a random fashion. It is shown that in the crowded regime, i.e., for small values of the memory size $m$ of the agents in the population, the agent…

Statistical Mechanics · Physics 2009-11-10 K. F. Yip , T. S. Lo , P. M. Hui , N. F. Johnson

We report numerical evidence that an epidemic-like model, which can be interpreted as the propagation of a rumor, exhibits critical behavior at a finite randomness of the underlying small-world network. The transition occurs between a…

Statistical Mechanics · Physics 2009-11-07 Damian H. Zanette

This dissertation highlights connections between the fields of neural networks, game theory and time series generation. The concept of antipredictability is explained, and the properties of time series that are antipredictable for several…

Disordered Systems and Neural Networks · Physics 2007-05-23 Richard Metzler

We formulate a theory of agent-based models in which agents compete to be in a winning group. The agents may be part of a network or not, and the winning group may be a minority group or not. The novel feature of the present formalism is…

Disordered Systems and Neural Networks · Physics 2009-11-10 T. S. Lo , H. Y. Chan , P. M. Hui , N. F. Johnson

Consider a network consisting of two subnetworks (communities) connected by some external edges. Given the network topology, the community detection problem can be cast as a graph partitioning problem that aims to identify the external…

Social and Information Networks · Computer Science 2023-07-19 Pin-Yu Chen , Alfred O. Hero

Machine learning models in dynamic environments often suffer from concept drift, where changes in the data distribution degrade performance. While detecting this drift is a well-studied topic, explaining how and why the model's…

Machine Learning · Computer Science 2025-09-12 Ignacy Stępka , Jerzy Stefanowski

The generic feature of traffic in a network of flowing electronic data packets is a phase transition from a stationary free-flow phase to a continuously growing congested non-stationary phase. In the most simple network of directed oriented…

Statistical Mechanics · Physics 2009-11-11 G. Mukherjee , S. S. Manna

We study probabilistic protocols for concurrent threshold-based load balancing in networks. There are n resources or machines represented by nodes in an undirected graph and m >> n users that try to find an acceptable resource by moving…

Data Structures and Algorithms · Computer Science 2013-06-07 Martin Hoefer , Thomas Sauerwald

Large-scale human mobility data is a key resource in data-driven policy making and across many scientific fields. Most recently, mobility data was extensively used during the COVID-19 pandemic to study the effects of governmental policies…

Physics and Society · Physics 2021-12-24 Frank Schlosser , Vedran Sekara , Dirk Brockmann , Manuel Garcia-Herranz

We present analytic and numerical results for two models, namely the minority model and the bar-attendance model, which offer simple paradigms for a competitive marketplace. Both models feature heterogeneous agents with bounded rationality…

Condensed Matter · Physics 2007-05-23 Neil F. Johnson , Michael Hart , Pak Ming Hui

In real-world systems, phase transitions often materialize abruptly, making it difficult to design appropriate controls that help uncover underlying processes. Some agent-based computational models display transformations similar to phase…

Physics and Society · Physics 2018-10-10 S. S. Chanda , B. McKelvey

The emergence of collective decision in swarms and their coordinated response to complex environments underscore the central role played by social transmission of information. Here, the different possible origins of information flow…

Adaptation and Self-Organizing Systems · Physics 2017-05-23 Mohammad Komareji , Yilun Shang , Roland Bouffanais

We develop a sequence of models describing information transmission and decision dynamics for a network of individual agents subject to multiple sources of influence. Our general framework is set in the context of an impending natural…

Physics and Society · Physics 2015-06-05 Danielle S. Bassett , David L. Alderson , Jean M. Carlson

We study an influence network of voters subjected to correlated disordered external perturbations, and solve the dynamical equations exactly for fully connected networks. The model has a critical phase transition between disordered unimodal…

Physics and Society · Physics 2018-09-26 Marlon Ramos , Marcus A. M. de Aguiar , Dan Braha