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1
Intro
2
What is an evolutionary game?
3
Analysing evolutionary games
4
Evolution on graphs
5
Evolutionary dynamics on graphs
6
Evolutionary dynamics on 3 and 4 vertex graphs
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A limitation of evolutionary graph theory
8
The population and its distribution
9
The independent process
10
Fitness
11
The territorial raider model I
12
The BDB dynamics
13
General evolutionary dynamics
14
A multi-player public goods game
15
Cooperator fixation probability in a Defector populati
16
Evolution in a subdivided population
17
Representation of a generalised population
18
Fixation probabilities for the DBD and DBB dynamics
19
The Markov movement model
20
Movement strategies
21
Evolution over the complete graph
22
Evolution over the circle graph
23
Evolution over the star graph
24
Outline
25
Correlated movement II
26
The wheel and base model I
27
The well-mixed population scenario
28
Incentive functions for non-threshold dilemmas
Description:
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. Read more

Modelling Evolution in Structured Populations Using Multiplayer Interactions

GERAD Research Center
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