Hello,
I am trying to replicate the results from this paper by Nowak and May (1992) http://ped.fas.harvard.edu/files/ped/files/nature92_0.pdf
However, in my code I find I need to have a random element and thus my results are stochastic. This is because of my interpretation of the following part of Nowak and May's model:
"At the start of the next generation, each lattice-site is occupied by the player with the highest score among the previous owner and the immediate neighbours"
Thus my question is, if there are 2 or more neighbours with the same highest payoff, but with different strategies, which one do I pick to occupy the lattice-site? Currently I pick at random.
I am also keen to see a very clear step by step description of their algorithm, so would appreciate it if anyone knew of a paper where this is described.
Many thanks,
Liz
It shouldn't matter which of the two is picked-and this can be checked by simply trying both choices and comparing. It is, of course, possible, to choose one from a uniform distribution and then average. It shouldn't matter-in the latter case the averages should be typical values, also.
But, in any case, the answer is to just do the simulations and check! Numerical simulations allow addressing such questions in a very concrete way-so just do them!
I am also very interesting the replicate working of this known paper.
(1) By picking one at random among the players with same score, can you replicate the Fig 3 of paper?
(2) Starting with random configuration 10% defectors(90% cooperators), the Fig 1of this paper is obsolutely replicated. The initial proportion(10%) is easy to satistify, but the configuration of initial strategies is hard to do.
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