How mutation alters the evolutionary dynamics of cooperation on networks
Cooperation is ubiquitous at every level of living organisms. It is known that spatial (network) structure is a viable mechanism for cooperation to evolve. A recently proposed numerical metric, average gradient of selection (AGoS), a useful tool for interpreting and visualizing evolutionary dynamics...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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IOP Publishing
2018-01-01
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| Series: | New Journal of Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/1367-2630/aac2a7 |
| _version_ | 1797750692426809344 |
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| author | Genki Ichinose Yoshiki Satotani Hiroki Sayama |
| author_facet | Genki Ichinose Yoshiki Satotani Hiroki Sayama |
| author_sort | Genki Ichinose |
| collection | DOAJ |
| description | Cooperation is ubiquitous at every level of living organisms. It is known that spatial (network) structure is a viable mechanism for cooperation to evolve. A recently proposed numerical metric, average gradient of selection (AGoS), a useful tool for interpreting and visualizing evolutionary dynamics on networks, allows simulation results to be visualized on a one-dimensional phase space. However, stochastic mutation of strategies was not considered in the analysis of AGoS. Here we extend AGoS so that it can analyze the evolution of cooperation where mutation may alter strategies of individuals on networks. We show that our extended AGoS correctly visualizes the final states of cooperation with mutation in the individual-based simulations. Our analyses revealed that mutation always has a negative effect on the evolution of cooperation regardless of the payoff functions, fraction of cooperators, and network structures. Moreover, we found that scale-free networks are the most vulnerable to mutation and thus the dynamics of cooperation are altered from bistability to coexistence on those networks, undergoing an imperfect pitchfork bifurcation. |
| first_indexed | 2024-03-12T16:36:32Z |
| format | Article |
| id | doaj.art-86a66cecadb7425faa6bf8558ce52035 |
| institution | Directory Open Access Journal |
| issn | 1367-2630 |
| language | English |
| last_indexed | 2024-03-12T16:36:32Z |
| publishDate | 2018-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | New Journal of Physics |
| spelling | doaj.art-86a66cecadb7425faa6bf8558ce520352023-08-08T14:50:57ZengIOP PublishingNew Journal of Physics1367-26302018-01-0120505304910.1088/1367-2630/aac2a7How mutation alters the evolutionary dynamics of cooperation on networksGenki Ichinose0Yoshiki Satotani1Hiroki Sayama2Department of Mathematical and Systems Engineering, Shizuoka University , 3-5-1 Johoku, Naka-ku, Hamamatsu, 432-8561, JapanDepartment of Information Technology, Okayama University , Okayama, 700-8530, JapanCenter for Collective Dynamics of Complex Systems, Department of Systems Science and Industrial Engineering, Binghamton University, State University of New York , Binghamton, NY 13902-6000, United States of AmericaCooperation is ubiquitous at every level of living organisms. It is known that spatial (network) structure is a viable mechanism for cooperation to evolve. A recently proposed numerical metric, average gradient of selection (AGoS), a useful tool for interpreting and visualizing evolutionary dynamics on networks, allows simulation results to be visualized on a one-dimensional phase space. However, stochastic mutation of strategies was not considered in the analysis of AGoS. Here we extend AGoS so that it can analyze the evolution of cooperation where mutation may alter strategies of individuals on networks. We show that our extended AGoS correctly visualizes the final states of cooperation with mutation in the individual-based simulations. Our analyses revealed that mutation always has a negative effect on the evolution of cooperation regardless of the payoff functions, fraction of cooperators, and network structures. Moreover, we found that scale-free networks are the most vulnerable to mutation and thus the dynamics of cooperation are altered from bistability to coexistence on those networks, undergoing an imperfect pitchfork bifurcation.https://doi.org/10.1088/1367-2630/aac2a7evolution of cooperationprisoner’s dilemma gamenetwork structureaverage gradient of selectionequilibrium pointbifurcation |
| spellingShingle | Genki Ichinose Yoshiki Satotani Hiroki Sayama How mutation alters the evolutionary dynamics of cooperation on networks New Journal of Physics evolution of cooperation prisoner’s dilemma game network structure average gradient of selection equilibrium point bifurcation |
| title | How mutation alters the evolutionary dynamics of cooperation on networks |
| title_full | How mutation alters the evolutionary dynamics of cooperation on networks |
| title_fullStr | How mutation alters the evolutionary dynamics of cooperation on networks |
| title_full_unstemmed | How mutation alters the evolutionary dynamics of cooperation on networks |
| title_short | How mutation alters the evolutionary dynamics of cooperation on networks |
| title_sort | how mutation alters the evolutionary dynamics of cooperation on networks |
| topic | evolution of cooperation prisoner’s dilemma game network structure average gradient of selection equilibrium point bifurcation |
| url | https://doi.org/10.1088/1367-2630/aac2a7 |
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