Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population
The tragedy of the commons (TOCs) is a ubiquitous social dilemma witnessed in interactions between a population of living entities and shared resources available to them: the individuals in the population tend to selfishly overexploit a common resource as it is arguably the rational choice, or in ca...
| Main Authors: | , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
IOP Publishing
2023-01-01
|
| Series: | Journal of Physics: Complexity |
| Subjects: | |
| Online Access: | https://doi.org/10.1088/2632-072X/acc5cb |
| _version_ | 1797844616088649728 |
|---|---|
| author | Joy Das Bairagya Samrat Sohel Mondal Debashish Chowdhury Sagar Chakraborty |
| author_facet | Joy Das Bairagya Samrat Sohel Mondal Debashish Chowdhury Sagar Chakraborty |
| author_sort | Joy Das Bairagya |
| collection | DOAJ |
| description | The tragedy of the commons (TOCs) is a ubiquitous social dilemma witnessed in interactions between a population of living entities and shared resources available to them: the individuals in the population tend to selfishly overexploit a common resource as it is arguably the rational choice, or in case of non-human beings, it may be an evolutionarily uninvadable action. How to avert the TOC is a significant problem related to the conservation of resources. It is not hard to envisage situations where the resource could be self-renewing and the size of the population may be dependent on the state of the resource through the fractions of the population employing different exploitation rates. If the self-renewal rate of the resource lies between the maximum and the minimum exploitation rates, it is not a priori obvious under what conditions the TOC can be averted. In this paper, we address this question analytically and numerically using the setup of an evolutionary game theoretical replicator equation that models the Darwinian tenet of natural selection. Through the replicator equation, while we investigate how a population of replicators exploit the shared resource, the latter’s dynamical feedback on the former is also not ignored. We also present a transparent bottom-up derivation of the game-resource feedback model to facilitate future studies on the stochastic effects on the findings presented herein. |
| first_indexed | 2024-04-09T17:25:10Z |
| format | Article |
| id | doaj.art-a5b0d7fa6e0240bc9fd8ba81597c8e6c |
| institution | Directory Open Access Journal |
| issn | 2632-072X |
| language | English |
| last_indexed | 2024-04-09T17:25:10Z |
| publishDate | 2023-01-01 |
| publisher | IOP Publishing |
| record_format | Article |
| series | Journal of Physics: Complexity |
| spelling | doaj.art-a5b0d7fa6e0240bc9fd8ba81597c8e6c2023-04-18T13:52:36ZengIOP PublishingJournal of Physics: Complexity2632-072X2023-01-014202500210.1088/2632-072X/acc5cbEco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester populationJoy Das Bairagya0Samrat Sohel Mondal1https://orcid.org/0000-0003-2993-2234Debashish Chowdhury2https://orcid.org/0000-0002-0536-2321Sagar Chakraborty3https://orcid.org/0000-0001-7568-0598Department of Physics, Indian Institute of Technology , Kanpur 208016, IndiaDepartment of Physics, Indian Institute of Technology , Kanpur 208016, IndiaDepartment of Physics, Indian Institute of Technology , Kanpur 208016, IndiaDepartment of Physics, Indian Institute of Technology , Kanpur 208016, IndiaThe tragedy of the commons (TOCs) is a ubiquitous social dilemma witnessed in interactions between a population of living entities and shared resources available to them: the individuals in the population tend to selfishly overexploit a common resource as it is arguably the rational choice, or in case of non-human beings, it may be an evolutionarily uninvadable action. How to avert the TOC is a significant problem related to the conservation of resources. It is not hard to envisage situations where the resource could be self-renewing and the size of the population may be dependent on the state of the resource through the fractions of the population employing different exploitation rates. If the self-renewal rate of the resource lies between the maximum and the minimum exploitation rates, it is not a priori obvious under what conditions the TOC can be averted. In this paper, we address this question analytically and numerically using the setup of an evolutionary game theoretical replicator equation that models the Darwinian tenet of natural selection. Through the replicator equation, while we investigate how a population of replicators exploit the shared resource, the latter’s dynamical feedback on the former is also not ignored. We also present a transparent bottom-up derivation of the game-resource feedback model to facilitate future studies on the stochastic effects on the findings presented herein.https://doi.org/10.1088/2632-072X/acc5cbdynamic gameslimit cyclesevolutionary gamesnoncooperative gameprisoner’s dilemmanatural resources. |
| spellingShingle | Joy Das Bairagya Samrat Sohel Mondal Debashish Chowdhury Sagar Chakraborty Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population Journal of Physics: Complexity dynamic games limit cycles evolutionary games noncooperative game prisoner’s dilemma natural resources. |
| title | Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population |
| title_full | Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population |
| title_fullStr | Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population |
| title_full_unstemmed | Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population |
| title_short | Eco-evolutionary games for harvesting self-renewing common resource: effect of growing harvester population |
| title_sort | eco evolutionary games for harvesting self renewing common resource effect of growing harvester population |
| topic | dynamic games limit cycles evolutionary games noncooperative game prisoner’s dilemma natural resources. |
| url | https://doi.org/10.1088/2632-072X/acc5cb |
| work_keys_str_mv | AT joydasbairagya ecoevolutionarygamesforharvestingselfrenewingcommonresourceeffectofgrowingharvesterpopulation AT samratsohelmondal ecoevolutionarygamesforharvestingselfrenewingcommonresourceeffectofgrowingharvesterpopulation AT debashishchowdhury ecoevolutionarygamesforharvestingselfrenewingcommonresourceeffectofgrowingharvesterpopulation AT sagarchakraborty ecoevolutionarygamesforharvestingselfrenewingcommonresourceeffectofgrowingharvesterpopulation |