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Evolutionary Game Theory: Darwinian Dynamics and the G Function Approach

Cancer Biology and Evolution Program and Department of Integrated Mathematical Oncology, Moffitt Cancer Center, Tampa, FL 33612, USA
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Academic Editors: Daniel Friedman and Ulrich Berger
Received: 20 July 2021 / Revised: 16 September 2021 / Accepted: 24 September 2021 / Published: 27 September 2021
(This article belongs to the Section Applied Game Theory)
Classical evolutionary game theory allows one to analyze the population dynamics of interacting individuals playing different strategies (broadly defined) in a population. To expand the scope of this framework to allow us to examine the evolution of these individuals’ strategies over time, we present the idea of a fitness-generating (G) function. Under this model, we can simultaneously consider population (ecological) and strategy (evolutionary) dynamics. In this paper, we briefly outline the differences between game theory and classical evolutionary game theory. We then introduce the G function framework, deriving the model from fundamental biological principles. We introduce the concept of a G-function species, explain the process of modeling with G functions, and define the conditions for evolutionary stable strategies (ESS). We conclude by presenting expository examples of G function model construction and simulations in the context of predator–prey dynamics and the evolution of drug resistance in cancer. View Full-Text
Keywords: eco-evolutionary dynamics; evolutionary game theory; adaptive landscape; G function; ESS eco-evolutionary dynamics; evolutionary game theory; adaptive landscape; G function; ESS
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MDPI and ACS Style

Bukkuri, A.; Brown, J.S. Evolutionary Game Theory: Darwinian Dynamics and the G Function Approach. Games 2021, 12, 72. https://0-doi-org.brum.beds.ac.uk/10.3390/g12040072

AMA Style

Bukkuri A, Brown JS. Evolutionary Game Theory: Darwinian Dynamics and the G Function Approach. Games. 2021; 12(4):72. https://0-doi-org.brum.beds.ac.uk/10.3390/g12040072

Chicago/Turabian Style

Bukkuri, Anuraag, and Joel S. Brown 2021. "Evolutionary Game Theory: Darwinian Dynamics and the G Function Approach" Games 12, no. 4: 72. https://0-doi-org.brum.beds.ac.uk/10.3390/g12040072

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