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The processes leading to change in languages are manifold. In order to reduce ambiguity in the transmission of information, agreement on a set of conventions for recurring problems is favored. In addition to that, speakers tend to use…

Physics and Society · Physics 2015-06-17 Cristina-Maria Pop , Erwin Frey

In certain parliamentary democracies, there are two major parties that move in and out of power every few elections, and a third minority party that essentially never governs. We present a simple model to account for this phenomenon, in…

Physics and Society · Physics 2009-03-09 D. Volovik , M. Mobilia , S. Redner

The population protocol model describes a network of $n$ anonymous agents who cannot control with whom they interact. The agents collectively solve some computational problem through random pairwise interactions, each agent updating its own…

Distributed, Parallel, and Cluster Computing · Computer Science 2021-10-25 David Doty , Mahsa Eftekhari

Understanding cooperation in social systems is challenging because the ever-changing rules that govern societies interact with individual actions, resulting in intricate collective outcomes. In virtual-world experiments, we allowed people…

Neurons and Cognition · Quantitative Biology 2025-02-25 Ofer Tchernichovski , Seth Frey , Dalton C. Conley , Nori Jacoby

The mathematical study of voting, social choice theory, has traditionally only been applicable to choices among a few predetermined alternatives, but not to open-ended decisions such as collectively selecting a textual statement. We…

Computer Science and Game Theory · Computer Science 2025-03-07 Sara Fish , Paul Gölz , David C. Parkes , Ariel D. Procaccia , Gili Rusak , Itai Shapira , Manuel Wüthrich

We investigate a voting scenario with two groups of agents whose preferences depend on a ground truth that cannot be directly observed. The majority's preferences align with the ground truth, while the minorities disagree. Focusing on…

Computer Science and Game Theory · Computer Science 2025-05-16 Qishen Han , Grant Schoenebeck , Biaoshuai Tao , Lirong Xia

We consider several one-species population dynamics model with finite and infinite carrying capacity, time dependent growth and effort rates and solve them analytically. We show that defining suitable scaling functions for a given time, one…

Disordered Systems and Neural Networks · Physics 2011-11-14 Alexandre Souto Martinez , Brenno Caetano Trocca Cabella , Fabiano Ribeiro

We investigate a group choice problem of agents pursuing social status. We assume heterogeneous agents want to signal their private information (ability, income, patience, altruism, etc.) to others, facing tradeoff between "outside status"…

General Economics · Economics 2020-08-25 Takaaki Hamada

The paper analyzes the problem of judgments or preferences subsequent to initial analysis by autonomous agents in a hierarchical system where the higher level agents does not have access to group size information. We propose methods that…

Artificial Intelligence · Computer Science 2018-02-13 Subhash Kak

We experimentally study voter turnout in two-tier elections when the electorate consists of multiple groups, such as states. Votes are aggregated within the groups by the winner-take-all rule or the proportional rule, and the group-level…

General Economics · Economics 2024-08-19 Yoichi Hizen , Kazuya Kikuchi , Yukio Koriyama , Takehito Masuda

In this work, it is pointed out that in the mean-field version of majority-rule opinion dynamics, the dependence of the consensus time on the population size exhibits two regimes. This is determined by the size distribution of the groups…

Physics and Society · Physics 2009-10-16 Damián H. Zanette

We consider a dynamic collective choice problem where a large number of players are cooperatively choosing between multiple destinations while being influenced by the behavior of the group. For example, in a robotic swarm exploring a new…

Systems and Control · Computer Science 2016-06-17 Rabih Salhab , Jerome Le Ny , Roland P. Malhamé

The power law is ubiquitous in natural and social phenomena, and is considered as a universal relationship between the frequency and its rank for diverse social systems. However, a general model is still lacking to interpret why these…

Computation and Language · Computer Science 2016-09-27 Shuiyuan Yu , Junying Liang , Haitao Liu

A set of many identical interacting agents obeying a global additive constraint is considered. Under the hypothesis of equiprobability in the high-dimensional volume delimited in phase space by the constraint, the statistical behavior of a…

Chaotic Dynamics · Physics 2007-09-03 Ricardo Lopez-Ruiz , Jaime Sanudo , Xavier Calbet

Multilevel selection and the evolution of cooperation are fundamental to the formation of higher-level organisation and the evolution of biocomplexity, but such notions are controversial and poorly understood in natural populations. The…

Populations and Evolution · Quantitative Biology 2012-08-03 Simon T. Powers , Christopher Heys , Richard A. Watson

A collective of identical agents in a multi-agent system often works together towards the common goal. In situations where no supervisor agents are present to make decisions for the group, these agents must achieve some consensus via…

Multiagent Systems · Computer Science 2021-04-27 Marcin Maleszka

The adaptive voter model is widely used to model opinion dynamics in social complex networks. However, existing adaptive voter models are limited to only pairwise interactions and fail to capture the intricate social dynamics that arises in…

Physics and Society · Physics 2025-02-04 Anastasia Golovin , Jan Mölter , Christian Kuehn

A method for studying exact properties of a class of {\it inhomogeneous} stochastic many-body systems is developed and presented in the framework of a voter model perturbed by the presence of a ``zealot'', an individual allowed to favour an…

Statistical Mechanics · Physics 2007-05-23 Mauro Mobilia

Examination of precinct level data in US presidential elections reveals a correlation of large precincts and increased fraction of Republican votes. The large precinct bias is analyzed with respect to voter heterogeneity and voter…

Other Statistics · Statistics 2014-11-03 Glenn Webb

In a context where a decision has to be taken collectively by several agents, the social choice problem consists in deciding whether there exists a socially acceptable rule that aggregates the individual preferences of the agents into a…

Optimization and Control · Mathematics 2017-07-20 J. A. Crespo , J. J. Sánchez-Gabites