Aurachman, R. orcid.org/0000-0001-6093-2190 and Punzo, G. orcid.org/0000-0003-4246-9045 (2025) Strategy diffusion and conformity in evolutionary dynamics on general networks. IEEE Control Systems Letters, 8. pp. 3398-3403. ISSN 2475-1456
Abstract
Networks of social interactions can drive the dynamics of socio-technical systems. In groups, where strategic decisions are shaped by the tension between cooperation and defection, the replicator equation serves as a valuable tool underpinning the modelling of evolutionary dynamics of strategies. In this work, we integrate the replicator dynamics with an SI (Susceptible-Infected) model for information diffusion in general networks. Considering also conformity, we model the evolution of cooperation in a public good game. The trajectories of the resulting dynamical systems converge to consensus about an internal point solution in the snowdrift setting and boundary solutions of full cooperation or full defection in social dilemmas, asymmetric games and stag hunt settings. Through the application of the Lyapunov stability theorem, we establish the stability of the internal equilibrium point. We then examine the basin of attraction obtaining the conditions leading to full cooperation. This work is relevant for the study of social dynamics in groups where strategic interactions are mediated by conformity.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | © 2025 The Authors. Except as otherwise noted, this author-accepted version of a journal article published in IEEE Control Systems Letters is made available via the University of Sheffield Research Publications and Copyright Policy under the terms of the Creative Commons Attribution 4.0 International License (CC-BY 4.0), which permits unrestricted use, distribution and reproduction in any medium, provided the original work is properly cited. To view a copy of this licence, visit http://creativecommons.org/licenses/by/4.0/ |
Keywords: | Games; Mathematical models; Vectors; Laplace equations; Stability criteria; Network topology; Information diffusion; Education; Diffusion processes; Topology; Game theory; Network analysis and control; Stability of nonlinear systems |
Dates: |
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Institution: | The University of Sheffield |
Academic Units: | The University of Sheffield > Faculty of Engineering (Sheffield) > School of Electrical and Electronic Engineering |
Depositing User: | Symplectic Sheffield |
Date Deposited: | 29 Jan 2025 09:15 |
Last Modified: | 12 Mar 2025 16:59 |
Status: | Published |
Publisher: | Institute of Electrical and Electronics Engineers (IEEE) |
Refereed: | Yes |
Identification Number: | 10.1109/lcsys.2025.3535301 |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:222529 |