Evolutionary Games on Networks: Phase Transition, Quasi-equilibrium, and Mathematical Principles

no code implementations • 26 Apr 2023 • Jiangjiang Cheng, Wenjun Mei, Wei Su, Ge Chen

The stable cooperation ratio of spatial evolutionary games has been widely studied using simulations or approximate analysis methods.

Convergence, Consensus and Dissensus in the Weighted-Median Opinion Dynamics

no code implementations • 17 Dec 2022 • Wenjun Mei, Julien M. Hendrickx, Ge Chen, Francesco Bullo, Florian Dörfler

Moreover, we prove a necessary and sufficient graph-theoretic condition for the almost-sure convergence to consensus, as well as a sufficient graph-theoretic condition for almost-sure persistent dissensus.

Structural Balance and Interpersonal Appraisals Dynamics: Beyond All-to-All and Two-Faction Networks

no code implementations • 18 Dec 2020 • Wenjun Mei, Ge Chen, Noah E. Friedkin, Florian Dörfler

structural balance configurations of the appraisal networks.

Social and Information Networks Discrete Mathematics Systems and Control Systems and Control 93-10, 91D30, 68R10