In this paper we consider a renowned stochastic model from sociophysics reported in [1, 2], which describes
the diffusion of information by word-of-mouth processes. This general model has a terrific impact to capture
both social dynamics among agents and information percolation, in case interaction among individuals plays a
keynote role. Here we generalize this model, by means of Linear Programming (LP) formulations, which exploit
to some extent the potentialities of sociophysics from a mathematical programming perspective. Our overall
approach aims to formally combine a stochastic model with a Linear Programming framework
