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Assaf, M and Mobilia, M (2012) Metastability and anomalous fixation in evolutionary games on scale-free networks. Physical Review Letters, 109 (18). 188701. ISSN 0031-9007
Abstract
We study the influence of complex graphs on the metastability and fixation properties of a set of evolutionary processes. In the framework of evolutionary game theory, where the fitness and selection are frequency dependent and vary with the population composition, we analyze the dynamics of snowdrift games (characterized by a metastable coexistence state) on scale-free networks. Using an effective diffusion theory in the weak selection limit, we demonstrate how the scale-free structure affects the system's metastable state and leads to anomalous fixation. In particular, we analytically and numerically show that the probability and mean time of fixation are characterized by stretched- exponential behaviors with exponents depending on the network's degree distribution.
Metadata
Item Type: | Article |
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Authors/Creators: |
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Copyright, Publisher and Additional Information: | (c) 2012 American Physical Society. Reproduced in accordance with the publishers self archiving policy. Both authors (MA and MM) contributed equally to this work, as explicitly acknowledged in the paper (acknowledgment section) and in its preprint on arXiv (http://arxiv.org/abs/1202.3231) |
Keywords: | complex networks; evolutionary dynamics; metastability; scale-free graphs; fixation; complex systems; diffusion theory; cooperation dilemma |
Dates: |
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Institution: | The University of Leeds |
Academic Units: | The University of Leeds > Faculty of Engineering & Physical Sciences (Leeds) > School of Mathematics (Leeds) > Applied Mathematics (Leeds) |
Depositing User: | Symplectic Publications |
Date Deposited: | 22 Oct 2015 09:28 |
Last Modified: | 26 Oct 2016 06:30 |
Published Version: | http://dx.doi.org/10.1103/PhysRevLett.109.188701 |
Status: | Published |
Publisher: | American Physical Society |
Identification Number: | 10.1103/PhysRevLett.109.188701 |
Related URLs: | |
Open Archives Initiative ID (OAI ID): | oai:eprints.whiterose.ac.uk:87672 |
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Metastability and anomalous fixation in evolutionary games on scale-free networks. (deposited 28 Feb 2013 12:27)
- Metastability and anomalous fixation in evolutionary games on scale-free networks. (deposited 22 Oct 2015 09:28) [Currently Displayed]