  We study a model describing the spread of a globalized culture in a
population of individuals localized at the nodes of a social network. The
influence of this globalized culture, assumed to be foreign to the local
culture, is measured by a probability to convince each individual to adopt its
cultural traits. This probability depends upon the degree s--a real between 0
and 1--of ``wise'' skepticism characterizing the personality of each individual
and a parameter a representing the resistance of the society as a whole to the
spread of the foreign cultural traits. A greater a indicates a stronger
resistance of the local culture to globalization. On the other hand, each
individual interacts with a random number of other individuals--her cultural
neighborhood--uniformly distributed between 1 and a maximum value. The
probability distribution of an individual to belong to the cultural
neighborhood of another individual has a power-law behavior. A small fraction r
of the total population belonging to the tail of this probability distribution
have an s-value equal to 1. They represent the most conservative individuals
firmly attached to their local culture.
