The proportion of the population never hearing a rumour

Abstract

AbstractSudbury (J Appl Prob 22:443–446, 1985) showed for the Maki–Thompson model of rumour spreading that the proportion of the population never hearing the rumour converges in probability to a limiting constant (approximately equal to 0.203) as the population size tends to infinity. We extend the analysis to a generalisation of the Maki–Thompson model.