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Hamilton's rule and kin competition in a finite kin population

He, QQ; Zheng, XD; Mace, R; Tao, Y; Ji, T; (2021) Hamilton's rule and kin competition in a finite kin population. Journal of Theoretical Biology , 529 , Article 110862. 10.1016/j.jtbi.2021.110862. Green open access

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Abstract

Kin selection means that individuals can increase their own inclusive fitness through displaying more altruistically toward their relatives. So, Hamilton's rule says kin selection will work if the coefficient of relatedness exceeds the cost-to-benefit ratio of the altruistic act. However, some studies have shown that the kin competition due to the altruism among relatives can reduce, and even totally negate, the kin-selected benefits of altruism toward relatives. In order to understand how the evolution of cooperation is influenced by both kin selection and kin competition under a general theoretical framework, we here consider the evolutionary dynamics of cooperation in a finite kin population, where kin competition is incorporated into a simple Prisoner's Dilemma game between relatives. Differently from the previous studies, we emphasize that the difference between the effects of mutually and unilaterally altruistic acts on kin competition may play an important role for the evolution of cooperation. The main results not only show the conditions that Hamilton's rule still works under the kin competition but also reveal the evolutionary biological mechanism driving the evolution of cooperation in a finite kin population.

Type: Article
Title: Hamilton's rule and kin competition in a finite kin population
Location: England
Open access status: An open access version is available from UCL Discovery
DOI: 10.1016/j.jtbi.2021.110862
Publisher version: https://doi.org/10.1016/j.jtbi.2021.110862
Language: English
Additional information: This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions.
Keywords: Inclusive fitness, kin selection, altruism, cooperation, Prisoner’s dilemma game
UCL classification: UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS
UCL > Provost and Vice Provost Offices > UCL SLASH > Faculty of S&HS > Dept of Anthropology
UCL > Provost and Vice Provost Offices > UCL SLASH
UCL
URI: https://discovery-pp.ucl.ac.uk/id/eprint/10149977
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