Evolutionary Game Theory
Some of the basic concepts of evolutionary game theory have been introduced in lecture, such as a basic model for evolutionary game theory and evolutionarily stable strategies, but many of the details are missing. For example, we assumed that given a mix of two strategies in a population, the strategy that gives a greater expected payoff (fitness) will become more common, but we didn’t model how this happened. We also interpreted a game with no evolutionary stable strategy as giving rise to oscillations between strategies or a stable mix of strategies, but did not talk about how to find the oscillations or equilibrium. How exactly do the frequencies of strategies change over time?
Jacek Miękisz’s lecture notes on Evolutionary Game Theory and Population Dynamics gives a more detailed (and mathematical) treatment of evolutionary game theory. It covers topics such as game theory, various models for population dynamics, and evolutionary game theory on graphs. If you want to know more about evolutionary game theory, I encourage you to take a look.
Link: https://www.mimuw.edu.pl/~miekisz/cime.pdf