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Age structure, replicator equation, and the prisoner's dilemma.

Math. Biosci. 365:109076 (2023)
DOI PMC
Open Access Green as soon as Postprint is submitted to ZB.
We investigate the evolutionary dynamics of an age-structured population subject to weak frequency-dependent selection. It turns out that the weak selection is affected in a non-trivial way by the life-history trait. We disentangle the dynamics, based on the appearance of different time scales. These time scales, which seem to form a universal structure in the interplay of weak selection and life-history traits, allow us to reduce the infinite dimensional model to a one-dimensional modified replicator equation. The modified replicator equation is then used to investigate cooperation (the prisoner's dilemma) by means of adaptive dynamics. We identify conditions under which age structure is able to promote cooperation. At the end we discuss the relevance of our findings.
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Publication type Article: Journal article
Document type Scientific Article
Corresponding Author
Keywords Age Structure ; Cooperation ; Prisoner's Dilemma ; Replicator Equation; Evolutionary Games; Integral-equation; Model; Cooperation; Dynamics; Behavior; Growth
ISSN (print) / ISBN 0025-5564
e-ISSN 1879-3134
Quellenangaben Volume: 365, Issue: , Pages: , Article Number: 109076 Supplement: ,
Publisher Elsevier
Publishing Place Ste 800, 230 Park Ave, New York, Ny 10169 Usa
Non-patent literature Publications
Reviewing status Peer reviewed
Grants Deutsche Forschungsgemeinschaft (DFG), Germany through TUM International Graduate School of Science and Engineering (IGSSE), GSC 81 within the project GENOMIE QADOP