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Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games
The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable depending on the interactive environment in realistic situatio...
Autores principales: | , , , , |
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Formato: | Online Artículo Texto |
Lenguaje: | English |
Publicado: |
Public Library of Science
2012
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Materias: | |
Acceso en línea: | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3353963/ https://www.ncbi.nlm.nih.gov/pubmed/22615836 http://dx.doi.org/10.1371/journal.pone.0036895 |
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author | Chen, Xiaojie Liu, Yongkui Zhou, Yonghui Wang, Long Perc, Matjaž |
author_facet | Chen, Xiaojie Liu, Yongkui Zhou, Yonghui Wang, Long Perc, Matjaž |
author_sort | Chen, Xiaojie |
collection | PubMed |
description | The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable depending on the interactive environment in realistic situations. Instead of using the same universal value, here we consider that the multiplication factor in each group is updated based on the differences between the local and global interactive environments in the spatial public goods game, but meanwhile limited to within a certain range. We find that the adaptive and bounded investment returns can significantly promote cooperation. In particular, full cooperation can be achieved for high feedback strength when appropriate limitation is set for the investment return. Also, we show that the fraction of cooperators in the whole population can become larger if the lower and upper limits of the multiplication factor are increased. Furthermore, in comparison to the traditionally spatial public goods game where the multiplication factor in each group is identical and fixed, we find that cooperation can be better promoted if the multiplication factor is constrained to adjust between one and the group size in our model. Our results highlight the importance of the locally adaptive and bounded investment returns for the emergence and dominance of cooperative behavior in structured populations. |
format | Online Article Text |
id | pubmed-3353963 |
institution | National Center for Biotechnology Information |
language | English |
publishDate | 2012 |
publisher | Public Library of Science |
record_format | MEDLINE/PubMed |
spelling | pubmed-33539632012-05-21 Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games Chen, Xiaojie Liu, Yongkui Zhou, Yonghui Wang, Long Perc, Matjaž PLoS One Research Article The public goods game is one of the most famous models for studying the evolution of cooperation in sizable groups. The multiplication factor in this game can characterize the investment return from the public good, which may be variable depending on the interactive environment in realistic situations. Instead of using the same universal value, here we consider that the multiplication factor in each group is updated based on the differences between the local and global interactive environments in the spatial public goods game, but meanwhile limited to within a certain range. We find that the adaptive and bounded investment returns can significantly promote cooperation. In particular, full cooperation can be achieved for high feedback strength when appropriate limitation is set for the investment return. Also, we show that the fraction of cooperators in the whole population can become larger if the lower and upper limits of the multiplication factor are increased. Furthermore, in comparison to the traditionally spatial public goods game where the multiplication factor in each group is identical and fixed, we find that cooperation can be better promoted if the multiplication factor is constrained to adjust between one and the group size in our model. Our results highlight the importance of the locally adaptive and bounded investment returns for the emergence and dominance of cooperative behavior in structured populations. Public Library of Science 2012-05-16 /pmc/articles/PMC3353963/ /pubmed/22615836 http://dx.doi.org/10.1371/journal.pone.0036895 Text en Chen et al. http://creativecommons.org/licenses/by/4.0/ This is an open-access article distributed under the terms of the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original author and source are properly credited. |
spellingShingle | Research Article Chen, Xiaojie Liu, Yongkui Zhou, Yonghui Wang, Long Perc, Matjaž Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title | Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title_full | Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title_fullStr | Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title_full_unstemmed | Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title_short | Adaptive and Bounded Investment Returns Promote Cooperation in Spatial Public Goods Games |
title_sort | adaptive and bounded investment returns promote cooperation in spatial public goods games |
topic | Research Article |
url | https://www.ncbi.nlm.nih.gov/pmc/articles/PMC3353963/ https://www.ncbi.nlm.nih.gov/pubmed/22615836 http://dx.doi.org/10.1371/journal.pone.0036895 |
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