2016/07/01 by Aylin Aydogdu, Aydogdu, Aylin, Marco Caponigro +11
Economics, Econometrics and Finance · Physics and Astronomy · Social Sciences · #Complex Systems and Time Series Analysis #Dynamical Systems (math.DS) #Evolutionary Game Theory and Cooperation #FOS: Mathematics #FOS: Physical sciences #Opinion Dynamics and Social Influence #Physics and Society (physics.soc-ph)
paper · doi:10.48550/arxiv.1607.00397
openalex publication_date 2016/07/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In the present chapter we study the emergence of global patterns in large groups in first and second-order multi-agent systems, focusing on two ingredients that influence the dynamics: the interaction network and the state space. The state space determines the types of equilibrium that can be reached by the system. Meanwhile, convergence to specific equilibria depends on the connectivity of the interaction network and on the interaction potential. When the system does not satisfy the necessary conditions for convergence to the desired equilibrium, control can be exerted, both on finite-dimensional systems and on their mean-field limit.