Modelling Evolution in Structured Populations Using Multiplayer Interactions

Explore evolutionary modeling in structured populations through multiplayer interactions in this comprehensive seminar. Delve into the limitations of pairwise interactions in evolutionary graph theory and discover a more general framework that incorporates multi-player contests with variable group sizes. Examine how different evolutionary games can be embedded within this structure, similar to pairwise games like the Prisoner's Dilemma or Hawk-Dove game on graphs. Investigate multiplayer games in the context of cooperative behavior evolution, and learn about various evolutionary dynamics, including the BDB dynamics and general evolutionary dynamics. Analyze specific models such as the territorial raider model, multi-player public goods game, and evolution in subdivided populations. Study fixation probabilities, Markov movement models, and evolution over different graph structures like complete, circle, and star graphs. Gain insights into correlated movement, incentive functions for non-threshold dilemmas, and the well-mixed population scenario in this in-depth exploration of evolutionary modeling.

Intro
What is an evolutionary game?
Analysing evolutionary games
Evolution on graphs
Evolutionary dynamics on graphs
Evolutionary dynamics on 3 and 4 vertex graphs
A limitation of evolutionary graph theory
The population and its distribution
The independent process
Fitness
The territorial raider model I
The BDB dynamics
General evolutionary dynamics
A multi-player public goods game
Cooperator fixation probability in a Defector populati
Evolution in a subdivided population
Representation of a generalised population
Fixation probabilities for the DBD and DBB dynamics
The Markov movement model
Movement strategies
Evolution over the complete graph
Evolution over the circle graph
Evolution over the star graph
Outline
Correlated movement II
The wheel and base model I
The well-mixed population scenario
Incentive functions for non-threshold dilemmas