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2016-08-01

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Please use this identifier to cite or link to this item: https://hdl.handle.net/2445/105540

Replicator dynamics with diffusion on multiplex networks

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Abstract

In this study we present an extension of the dynamics of diffusion in multiplex graphs, which makes the equations compatible with the replicator equation with mutations. We derive an exact formula for the diffusion term, which shows that, while diffusion is linear for numbers of agents, it is necessary to account for nonlinear terms when working with fractions of individuals. We also derive the transition probabilities that give rise to such macroscopic behavior, completing the bottom-up description. Finally, it is shown that the usual assumption of constant population sizes induces a hidden selective pressure due to the diffusive dynamics, which favors the increase of fast diffusing strategies.

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https://doi.org/10.1103/PhysRevE.94.022301

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Xarxes d'ordinadors, Teoria de grafs, Difusió

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Computer networks, Graph theory, Diffusion

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Articles publicats en revistes (Física de la Matèria Condensada)
Publicacions de projectes de recerca finançats per la UE

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REQUEJO, Ruben J. and DÍAZ GUILERA, Albert. Replicator dynamics with diffusion on multiplex networks. Physical Review E. 2016. Vol. 94, num. 022301. ISSN 1539-3755. [consulted: 7 of October of 2026]. Available at: https://hdl.handle.net/2445/105540

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