Abstract
A Reply to the Commentary by Hugo Fort [Pap. Phys. 1, 010003 (2009)].Received: 7 October 2009, Accepted: 7 October 2009; Edited by: M. C. Barbosa; DOI: 10.4279/PIP.010004
Highlights
It was suggested in the paper that the equivalence of the mean-field MR dynamics and a random walk can be formulated in terms of the evolution of N+, the number of agents with opinion +1
It is somehow artificial to conceive that, in a social process driven by events which involve agent groups, probabilities depend on the total population size
From an operational viewpoint, a cut-off probability distribution with G ≤ N would be difficult to implement if the population size varies with time
Summary
It was suggested in the paper that the equivalence of the mean-field MR dynamics and a random walk can be formulated in terms of the evolution of N+, the number of agents with opinion +1. One could cut off and renormalize the probability distribution for the group size, pG, in such a way that G can be at most equal to the population size N . The two regimes in the size dependence of the consensus time would certainly still exist – explicitly working out analyt- It is somehow artificial to conceive that, in a social process driven by events which involve agent groups, probabilities depend on the total population size.
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