Heterogeneous update mechanisms in evolutionary games: Mixing innovative and imitative dynamics

Physical Review. E
Marco Antonio Amaral, Marco Alberto Javarone

Abstract

Innovation and evolution are two processes of paramount relevance for social and biological systems. In general, the former allows the introduction of elements of novelty, while the latter is responsible for the motion of a system in its phase space. Often, these processes are strongly related, since an innovation can trigger the evolution, and the latter can provide the optimal conditions for the emergence of innovations. Both processes can be studied by using the framework of evolutionary game theory, where evolution constitutes an intrinsic mechanism. At the same time, the concept of innovation requires an opportune mathematical representation. Notably, innovation can be modeled as a strategy, or it can constitute the underlying mechanism that allows agents to change strategy. Here, we analyze the second case, investigating the behavior of a heterogeneous population, composed of imitative and innovative agents. Imitative agents change strategy only by imitating that of their neighbors, whereas innovative ones change strategy without the need for a copying source. The proposed model is analyzed by means of analytical calculations and numerical simulations in different topologies. Remarkably, results indicate that the mixing o...Continue Reading

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Citations

Aug 13, 2020·Journal of the Royal Society, Interface·Aanjaneya KumarMatjaž Perc
Aug 20, 2019·Proceedings. Mathematical, Physical, and Engineering Sciences·Yinhai FangQingmei Tan
Jan 2, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Md Rajib ArefinJun Tanimoto
Jun 12, 2020·Proceedings. Mathematical, Physical, and Engineering Sciences·Marco A Amaral, Marco A Javarone
Jul 22, 2020·Physical Review. E·Marco A Amaral, Marco A Javarone
Sep 27, 2018·Physical Review. E·Attila Szolnoki, Xiaojie Chen
May 23, 2019·Scientific Reports·Yinhai FangHaiyan Xu
Aug 31, 2019·Scientific Reports·Attila Szolnoki, Matjaž Perc
Dec 9, 2020·Entropy·Sayantan Nag ChowdhuryDibakar Ghosh
Apr 20, 2021·Chaos, Solitons, and Fractals·Marco A AmaralMarco A Javarone
Oct 5, 2021·Philosophical Transactions of the Royal Society of London. Series B, Biological Sciences·Károly TakácsRafael P M Wittek

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