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In this paper we consider the problem of distributed Nash equilibrium (NE) seeking over networks, a setting in which players have limited local information. We start from a continuous-time gradient-play dynamics that converges to an NE…

Optimization and Control · Mathematics 2024-10-30 Dian Gadjov , Lacra Pavel

Motivated by empirical research on bias and opinion formation, we formulate a multidimensional nonlinear opinion-dynamical model where agents have individual biases, which are fixed, as well as opinions, which evolve. The dimensions…

Systems and Control · Electrical Eng. & Systems 2024-05-14 Luka Baković , David Ohlin , Giacomo Como , Emma Tegling

Human behavioural patterns exhibit selfish or competitive, as well as selfless or altruistic tendencies, both of which have demonstrable effects on human social and economic activity. In behavioural economics, such effects have…

Multiagent Systems · Computer Science 2021-04-28 Jan E. Snellman , Gerardo Iñiguez , János Kertész , R. A. Barrio , Kimmo K. Kaski

People choose their strategies through a trial-and-error learning process in which they gradually discover that some strategies work better than others. The process can be modelled as an evolutionary game dynamics system, which may be…

Theoretical Economics · Economics 2023-02-21 Wang Zhijian

We study a DeGroot-like opinion dynamics model in which agents may oppose other agents. As an underlying motivation, in our setup, agents want to adjust their opinions to match those of the agents of their 'in-group' and, in addition, they…

Multiagent Systems · Computer Science 2016-11-02 Steffen Eger

Consider discrete-time linear distributed averaging dynamics, whereby agents in a network start with uncorrelated and unbiased noisy measurements of a common underlying parameter (state of the world) and iteratively update their estimates…

Optimization and Control · Mathematics 2023-03-21 Giacomo Como , Fabio Fagnani , Anton V. Proskurnikov

In response to a change, individuals may choose to follow the responses of their friends or, alternatively, to change their friends. To model these decisions, consider a game where players choose their behaviors and friendships. In…

Social and Information Networks · Computer Science 2020-06-23 Anton Badev

In modern interconnected societies, opinions and beliefs can quickly spread across large populations, giving rise to collective behaviors such as the adoption of social norms or polarization. These phenomena have motivated many models aimed…

Physics and Society · Physics 2026-05-27 Cosimo Agostinelli , Marco Mancastroppa , Alain Barrat

This paper aims to design a distributed coordination algorithm for solving a multi-agent decision problem with a hierarchical structure. The primary goal is to search the Nash equilibrium of a noncooperative game such that each player has…

Optimization and Control · Mathematics 2022-05-17 Xiaoyu Ma , Jinlong Lei , Peng Yi , Jie Chen

Starting from a heuristic learning scheme for N-person games, we derive a new class of continuous-time learning dynamics consisting of a replicator-like drift adjusted by a penalty term that renders the boundary of the game's strategy space…

Optimization and Control · Mathematics 2014-04-08 Pierre Coucheney , Bruno Gaujal , Panayotis Mertikopoulos

It is interesting and of significant importance to investigate how network structures co-evolve with opinions. The existing models of such co-evolution typically lead to the final states where network nodes either reach a global consensus…

Physics and Society · Physics 2017-10-25 Yi Yu , Gaoxi Xiao , Guoqi Li , Wee Peng Tay , Hao Fatt Teoh

Most people simultaneously belong to several distinct social networks, in which their relations can be different. They have opinions about certain topics, which they share and spread on these networks, and are influenced by the opinions of…

Social and Information Networks · Computer Science 2017-06-12 Alexandre Reiffers-Masson , Vincent Labatut

We propose a consensus opinion model based on the evolutionary game. In our model, both of the two connected agents receive a benefit if they have the same opinion, otherwise they both pay a cost. Agents update their opinions by comparing…

Physics and Society · Physics 2018-02-14 Han-Xin Yang

Learning problems commonly exhibit an interesting feedback mechanism wherein the population data reacts to competing decision makers' actions. This paper formulates a new game theoretic framework for this phenomenon, called "multi-player…

Computer Science and Game Theory · Computer Science 2022-04-08 Adhyyan Narang , Evan Faulkner , Dmitriy Drusvyatskiy , Maryam Fazel , Lillian J. Ratliff

Opinion dynamics has recently been modeled from a game-theoretic perspective, where opinion updates are captured by individuals' cost functions representing their motivations. Conventional formulations aggregate multiple motivations into a…

Systems and Control · Electrical Eng. & Systems 2025-11-11 Yuheng Luo , Chuanzhe Zhang , Qingsong Liu , Hai Zhu , Wenjun Mei

In this paper we consider the modeling of opinion dynamics over time dependent large scale networks. A kinetic description of the agents' distribution over the evolving network is considered which combines an opinion update based on binary…

Numerical Analysis · Mathematics 2016-04-05 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

A recently introduced concept of "cooperative equilibrium", based on the assumption that players have a natural attitude to cooperation, has been proven a powerful tool in predicting human behaviour in social dilemmas. In this paper, we…

Computer Science and Game Theory · Computer Science 2015-09-28 Valerio Capraro , Maria Polukarov , Matteo Venanzi , Nicholas R. Jennings

Opinion dynamics, the evolution of individuals through social interactions, is an important area of research with applications ranging from politics to marketing. Due to its interdisciplinary relevance, studies of opinion dynamics remain…

Social and Information Networks · Computer Science 2025-11-04 Mohammad Shirzadi , Emilio Cruciani , Ahad N. Zehmakan

We consider a constrained hierarchical opinion dynamics in the case of leaders' competition and with complete information among leaders. Each leaders' group tries to drive the followers' opinion towards a desired state accordingly to a…

Optimization and Control · Mathematics 2017-12-12 Giacomo Albi , Lorenzo Pareschi , Mattia Zanella

The Hegselmann-Krause (HK) model of opinion dynamics describes how opinions held by individuals in a community change over time in response to the opinions of others and their access to the true value, T, to which these opinions relate.…

Social and Information Networks · Computer Science 2025-02-28 Allen G. Rodrigo