Coexistence of coordination and anticoordination in nonlinear public goods game
There is a plethora of instances of interactions between players, in both biological and socio-economical context, that can be modeled as the paradigmatic PGG. However, in such interactions, arguably the PGG is often nonlinear in nature. This is because the increment in benefit generated, owing to a...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2022-01-01
|
| Series: | Journal of Physics: Complexity |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2632-072X/ac9bc0 |
| _version_ | 1797794887566884864 |
|---|---|
| author | Arunava Patra Vikash Kumar Dubey Sagar Chakraborty |
| author_facet | Arunava Patra Vikash Kumar Dubey Sagar Chakraborty |
| author_sort | Arunava Patra |
| collection | DOAJ |
| description | There is a plethora of instances of interactions between players, in both biological and socio-economical context, that can be modeled as the paradigmatic PGG. However, in such interactions, arguably the PGG is often nonlinear in nature. This is because the increment in benefit generated, owing to additional cost contributed by the players, is realistically seldom linear. Furthermore, sometimes a social good is created due to interspecific interactions, e.g. in cooperative hunting by animals of two different species. In this paper, we study the evolutionary dynamics of a heterogenous population of cooperators and defectors playing nonlinear PGG; here we define heterogenous population as the one composed of distinct subpopulations with interactions among them. We employ the replicator equations for this investigation, and present the non-trivial effects of nonlinearity and size of the groups involved in the game. We report the possibility of discoordination, and coexistence of coordination and anti-coordination in such nonlinear PGG. |
| first_indexed | 2024-03-13T03:09:32Z |
| format | Article |
| id | doaj.art-1c324c3127954c66bfa5577711ac790e |
| institution | Directory Open Access Journal |
| issn | 2632-072X |
| language | English |
| last_indexed | 2024-03-13T03:09:32Z |
| publishDate | 2022-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics: Complexity |
| spelling | doaj.art-1c324c3127954c66bfa5577711ac790e2023-06-26T15:07:40ZengIOP PublishingJournal of Physics: Complexity2632-072X2022-01-013404500610.1088/2632-072X/ac9bc0Coexistence of coordination and anticoordination in nonlinear public goods gameArunava Patra0https://orcid.org/0000-0002-0071-7365Vikash Kumar Dubey1https://orcid.org/0000-0001-5425-3087Sagar Chakraborty2https://orcid.org/0000-0001-7568-0598Department of Physics, Indian Institute of Technology Kanpur , Kanpur, Uttar Pradesh 208016, IndiaDepartment of Physics, Indian Institute of Technology Kanpur , Kanpur, Uttar Pradesh 208016, IndiaDepartment of Physics, Indian Institute of Technology Kanpur , Kanpur, Uttar Pradesh 208016, IndiaThere is a plethora of instances of interactions between players, in both biological and socio-economical context, that can be modeled as the paradigmatic PGG. However, in such interactions, arguably the PGG is often nonlinear in nature. This is because the increment in benefit generated, owing to additional cost contributed by the players, is realistically seldom linear. Furthermore, sometimes a social good is created due to interspecific interactions, e.g. in cooperative hunting by animals of two different species. In this paper, we study the evolutionary dynamics of a heterogenous population of cooperators and defectors playing nonlinear PGG; here we define heterogenous population as the one composed of distinct subpopulations with interactions among them. We employ the replicator equations for this investigation, and present the non-trivial effects of nonlinearity and size of the groups involved in the game. We report the possibility of discoordination, and coexistence of coordination and anti-coordination in such nonlinear PGG.https://doi.org/10.1088/2632-072X/ac9bc0evolutionary game theorynonlinear public goods gamereplicator dynamicsstability analysismultistability |
| spellingShingle | Arunava Patra Vikash Kumar Dubey Sagar Chakraborty Coexistence of coordination and anticoordination in nonlinear public goods game Journal of Physics: Complexity evolutionary game theory nonlinear public goods game replicator dynamics stability analysis multistability |
| title | Coexistence of coordination and anticoordination in nonlinear public goods game |
| title_full | Coexistence of coordination and anticoordination in nonlinear public goods game |
| title_fullStr | Coexistence of coordination and anticoordination in nonlinear public goods game |
| title_full_unstemmed | Coexistence of coordination and anticoordination in nonlinear public goods game |
| title_short | Coexistence of coordination and anticoordination in nonlinear public goods game |
| title_sort | coexistence of coordination and anticoordination in nonlinear public goods game |
| topic | evolutionary game theory nonlinear public goods game replicator dynamics stability analysis multistability |
| url | https://doi.org/10.1088/2632-072X/ac9bc0 |
| work_keys_str_mv | AT arunavapatra coexistenceofcoordinationandanticoordinationinnonlinearpublicgoodsgame AT vikashkumardubey coexistenceofcoordinationandanticoordinationinnonlinearpublicgoodsgame AT sagarchakraborty coexistenceofcoordinationandanticoordinationinnonlinearpublicgoodsgame |