The evolution of cooperation in a fixed-rule network
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We'll start building the model in Java/Repast, and see how cooperative behavior fares in a population of individuals with a fixed rule for building connections with others.
We start with a random graph (or some other initial condition.)
At each time step,
- each individual plays against everyone he is connected to, and gets payoff according to the sum of all these interactions
- one individual, chosen proportional to fitness, will produce one offspring
- this offspring is connected to the parent and to all the parent's neighbors (or some other fixed rule)
- a random node is chosen to die (to keep population size fixed), and
- all individuals' fitness is reset to 0.