Evolution of aggression and sharing: the replicator dynamics with the Hawk Dove Game - YouTube - Private

A mathematical model of evolution: the replicator dynamics equations. - YouTube - Private

Stability of the replicator dynamics equation. - YouTube - Private

Evolutionary stability of the Replicator Dynamics Equations - YouTube - Private

Allowing for mutation in evolution: the replicator mutation dynamics equations. - YouTube - Private

Using Python to solve the Replicator Dynamics Equation with Nashpy - YouTube - Private

- Create a variable
`populations`

which has value a list containing all population vectors for the replicator dynamics (with`timepoints=numpy.linspace(0, 1, 500)`

) for the Normal Form Game defined by: \(A = \begin{pmatrix}1 & - 1\\ -1 & 1\end{pmatrix} \qquad B = \begin{pmatrix}-1 & 1\\ 1 & -1\end{pmatrix}\) - Output a list containing all population vectors for the replicator dynamics (with
`timepoints=numpy.linspace(0, 1, 500)`

) for the Normal Form Game defined by: \(A = \begin{pmatrix}3 & 2\\ 3 & 1\end{pmatrix} \qquad B = \begin{pmatrix}4 & 9\\ 5 & 3\end{pmatrix}\) - Create a variable
`last_population`

which has value the final population vectors for the replicator dynamics (with`timepoints=numpy.linspace(0, 1, 500)`

) for the Normal Form Game defined by: \(A = \begin{pmatrix}1 & - 1\\ -1 & 1\end{pmatrix}\) - Output the final population vectors for the replicator dynamics (with
`timepoints=numpy.linspace(0, 1, 500)`

) for the Normal Form Game defined by: \(A = \begin{pmatrix}-3 & - 1 & 4\\ 2 & -1 & 1\\ 0 & 3 & -2\end{pmatrix}\)

In class we spoke about the replicator dynamics equation: a differential equation that is a building block of evolutionary game theory.

In class today I discussed this paper: Studying the emergence of invasiveness in tumours using game theory.

In class today Michalis Panayides presented research from his PhD. Michalis’ work uses queuing theory to build a Normal Form Game between two hospitals. This is used to identify a good set of incentives/targets to help reduce ambulances being blocked outside of Accident and Emergency departments.

```
Class notes: Replicator Dynamics
```

Source code: @drvinceknight Powered by: Jekyll Github pages Bootsrap css