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Evolutionary Game Theory and the Adaptive Dynamics Approach: Adaptation where Individuals Interact

Author

Listed:
  • Piret Avila

    (IAST - Institute for Advanced Study in Toulouse)

  • Charles Mullon

Abstract

Evolutionary game theory and the adaptive dynamics approach have made invaluable contributions to understanding how gradual evolution leads to adaptation when individuals interact. Here, we review some of the basic tools that have come out of these contributions to model the evolution of quantitative traits in complex populations. We collect together mathematical expressions that describe directional and disruptive selection in class- and group-structured populations in terms of individual fitness, with the aims of bridging different models and interpreting selection. In particular, our review of disruptive selection suggests there are two main paths that can lead to diversity: (i) when individual fitness increases more than linearly with trait expression; (ii) when trait expression simultaneously increases the probability that an individual is in a certain context (e.g. a given age, sex, habitat, size or social environment) and fitness in that context. We provide various examples of these and more broadly argue that population structure lays the ground for the emergence of polymorphism with unique characteristics. Beyond this, we hope that the descriptions of selection we present here help see the tight links among fundamental branches of evolutionary biology, from life history to social evolution through evolutionary ecology, and thus favour further their integration.

Suggested Citation

  • Piret Avila & Charles Mullon, 2023. "Evolutionary Game Theory and the Adaptive Dynamics Approach: Adaptation where Individuals Interact," Post-Print hal-04067694, HAL.
  • Handle: RePEc:hal:journl:hal-04067694
    DOI: 10.1098/rstb.2021.0502
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    Cited by:

    1. Ingela Alger & Laurent Lehmann, 2023. "Evolution of Semi-Kantian Preferences in Two-Player Assortative Interactions with Complete and Incomplete Information and Plasticity," Dynamic Games and Applications, Springer, vol. 13(4), pages 1288-1319, December.
    2. Feng, Minyu & Han, Songlin & Li, Qin & Wu, Juan & Kurths, Jürgen, 2023. "Harmful strong agents and asymmetric interaction can promote the frequency of cooperation in the snowdrift game," Chaos, Solitons & Fractals, Elsevier, vol. 175(P2).
    3. Yiming Xu & Ali Alderete Peralta & Nazmiye Balta-Ozkan, 2024. "Vehicle-to-Vehicle Energy Trading Framework: A Systematic Literature Review," Sustainability, MDPI, vol. 16(12), pages 1-28, June.
    4. Christian Hilbe & Maria Kleshnina & Kateřina Staňková, 2023. "Evolutionary Games and Applications: Fifty Years of ‘The Logic of Animal Conflict’," Dynamic Games and Applications, Springer, vol. 13(4), pages 1035-1048, December.
    5. Éloi Martin & Sabin Lessard, 2023. "Assortment by Group Founders Always Promotes the Evolution of Cooperation Under Global Selection But Can Oppose it Under Local Selection," Dynamic Games and Applications, Springer, vol. 13(4), pages 1194-1218, December.
    6. Fang He & Yuan Yi & Yuxuan Si, 2024. "Evolution Process of Urban Industrial Land Redevelopment in China: A Perspective of Original Land Users," Land, MDPI, vol. 13(4), pages 1-22, April.

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