Repeated Games and Population Structure

From Evolution and Games

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Contents

Run the simulations

You can download the software here. Once the program is running just click on the big play button to start the fun. Feel free to re-arrange and re-size the windows, zoom-in and out as the program is running. Click here if you need more information about running this program.

Lifecycle

The following figure represents the lifecycle in the computer program.

  • In step one we start with an even-sized population of finite state automata (initial population is made out of ALLD strategies).
  • In step two individuals are matched in pairs to play the game - your are matched with your rightmost neighbor. The game is played between each pair of matched players, a one-shot game is played for sure and from then on the one-shot game is repeated with probability δ.
  • In step three reproduction takes place, a payoff proportional distribution is constructed. To fill up the next population we proceed in the following manner: with probability 1 − r the distribution is sampled, with probability r a copy of the parent of your left neighbor is created (this takes care of assortment).
  • Finally, in step four, every individual can mutate with a given probability. From then we go back to matching, and so on.
Lifecycle

Strategies in the computer

Parameters in the Simulations

Results

Average payoff as a function of continuation probability and assortment