Effects of group size and noise on cooperation in population evolution of dynamic groups.
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| Title: | Effects of group size and noise on cooperation in population evolution of dynamic groups. |
|---|---|
| Authors: | Zhang, Hong-Bin1 (AUTHOR) zhanghb@suda.edu.cn, Tang, Deng-Ping1 (AUTHOR) |
| Source: | European Physical Journal B: Condensed Matter. Oct2024, Vol. 97 Issue 10, p1-6. 6p. |
| Subjects: | Public goods, Defectors, Hysteresis, Multiplication, Cooperation |
| Abstract: | We consider a large population of M agents, who are randomly selected to form size-distributed groups from time to time, and the grouped agents engage in the Public Goods Game (PGG). The size g of the group is within g l and g h , where g l and g h are the lower and upper limits of the group size, respectively. Players have two strategies to choose, i.e., to cooperate (C), or to defect (D). Based on the dynamic grouping, we investigate the cooperative behavior of the system, and the results show that the frequency of cooperation is greatly affected by the noise intensity and group size distribution. In the evolutionary process, the payoffs of the cooperators (defectors) mainly depend on the strategy selection implemented by the death-birth process. For g ∈ [1,3] , different noise intensities K induce different dynamic behaviors together with the multiplication factor r . For g ∈ [1,5] , the system may evolve to one of the bistable states (one is the totally cooperative state and the other is a mixed state with cooperators and defectors) starting from different initial concentrations of cooperation. The results of numerical computation seems to fit well with the simulation data. Furthermore, for K = 1.0 and g ∈ [ 1 , 5 ] , we still observe the phenomenon of hysteresis effect where the system just reaches to the totally cooperative state slowly after a period of delay with increasing multiplication factor r. In addition, when one D-player tries to invade the C-population, there exists a critical game parameter r invade , below which the C-population will be invaded. We also study how the critical game parameter relies on the noise intensity and the group size distribution. [ABSTRACT FROM AUTHOR] |
| Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract. (Copyright applies to all Abstracts.) | |
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| Header | DbId: egs DbLabel: Engineering Source An: 180905978 AccessLevel: 6 PubType: Academic Journal PubTypeId: academicJournal PreciseRelevancyScore: 0 |
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| Items | – Name: Title Label: Title Group: Ti Data: Effects of group size and noise on cooperation in population evolution of dynamic groups. – Name: Author Label: Authors Group: Au Data: <searchLink fieldCode="AR" term="%22Zhang%2C+Hong-Bin%22">Zhang, Hong-Bin</searchLink><relatesTo>1</relatesTo> (AUTHOR)<i> zhanghb@suda.edu.cn</i><br /><searchLink fieldCode="AR" term="%22Tang%2C+Deng-Ping%22">Tang, Deng-Ping</searchLink><relatesTo>1</relatesTo> (AUTHOR) – Name: TitleSource Label: Source Group: Src Data: <searchLink fieldCode="JN" term="%22European+Physical+Journal+B%3A+Condensed+Matter%22">European Physical Journal B: Condensed Matter</searchLink>. Oct2024, Vol. 97 Issue 10, p1-6. 6p. – Name: Subject Label: Subjects Group: Su Data: <searchLink fieldCode="DE" term="%22Public+goods%22">Public goods</searchLink><br /><searchLink fieldCode="DE" term="%22Defectors%22">Defectors</searchLink><br /><searchLink fieldCode="DE" term="%22Hysteresis%22">Hysteresis</searchLink><br /><searchLink fieldCode="DE" term="%22Multiplication%22">Multiplication</searchLink><br /><searchLink fieldCode="DE" term="%22Cooperation%22">Cooperation</searchLink> – Name: Abstract Label: Abstract Group: Ab Data: We consider a large population of M agents, who are randomly selected to form size-distributed groups from time to time, and the grouped agents engage in the Public Goods Game (PGG). The size g of the group is within g l and g h , where g l and g h are the lower and upper limits of the group size, respectively. Players have two strategies to choose, i.e., to cooperate (C), or to defect (D). Based on the dynamic grouping, we investigate the cooperative behavior of the system, and the results show that the frequency of cooperation is greatly affected by the noise intensity and group size distribution. In the evolutionary process, the payoffs of the cooperators (defectors) mainly depend on the strategy selection implemented by the death-birth process. For g ∈ [1,3] , different noise intensities K induce different dynamic behaviors together with the multiplication factor r . For g ∈ [1,5] , the system may evolve to one of the bistable states (one is the totally cooperative state and the other is a mixed state with cooperators and defectors) starting from different initial concentrations of cooperation. The results of numerical computation seems to fit well with the simulation data. Furthermore, for K = 1.0 and g ∈ [ 1 , 5 ] , we still observe the phenomenon of hysteresis effect where the system just reaches to the totally cooperative state slowly after a period of delay with increasing multiplication factor r. In addition, when one D-player tries to invade the C-population, there exists a critical game parameter r invade , below which the C-population will be invaded. We also study how the critical game parameter relies on the noise intensity and the group size distribution. [ABSTRACT FROM AUTHOR] – Name: AbstractSuppliedCopyright Label: Group: Ab Data: <i>Copyright of European Physical Journal B: Condensed Matter is the property of Springer Nature and its content may not be copied or emailed to multiple sites without the copyright holder's express written permission. Additionally, content may not be used with any artificial intelligence tools or machine learning technologies. However, users may print, download, or email articles for individual use. This abstract may be abridged. No warranty is given about the accuracy of the copy. Users should refer to the original published version of the material for the full abstract.</i> (Copyright applies to all Abstracts.) |
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| RecordInfo | BibRecord: BibEntity: Identifiers: – Type: doi Value: 10.1140/epjb/s10051-024-00787-0 Languages: – Code: eng Text: English PhysicalDescription: Pagination: PageCount: 6 StartPage: 1 Subjects: – SubjectFull: Public goods Type: general – SubjectFull: Defectors Type: general – SubjectFull: Hysteresis Type: general – SubjectFull: Multiplication Type: general – SubjectFull: Cooperation Type: general Titles: – TitleFull: Effects of group size and noise on cooperation in population evolution of dynamic groups. Type: main BibRelationships: HasContributorRelationships: – PersonEntity: Name: NameFull: Zhang, Hong-Bin – PersonEntity: Name: NameFull: Tang, Deng-Ping IsPartOfRelationships: – BibEntity: Dates: – D: 01 M: 10 Text: Oct2024 Type: published Y: 2024 Identifiers: – Type: issn-print Value: 14346028 Numbering: – Type: volume Value: 97 – Type: issue Value: 10 Titles: – TitleFull: European Physical Journal B: Condensed Matter Type: main |
| ResultId | 1 |
