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Research Report SRR00-007

The Maki-Thompson Rumour Model: A Detailed Analysis

J. Gani

Abstract: The general solution for stochastic rumour models has recently been derived by Pearce (1998) for both the Daley-Kendall and Maki-Thompson cases. This paper concentrates on the simpler Maki-Thompson model, which presents some particular problems of its own. A general solution is set out, and illustrated by an example starting with 1 spreader and 2 ignorants; in this case, the probabilities of 2, 1 and 0 surviving ignorants are 0, 1/4 and 3/4 respectively.


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