Rumour Propagation Among Sceptics: The Markovian Case

Neda Esmaeeli () and Farkhondeh Alsadat Sajadi ()
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Neda Esmaeeli: University of Isfahan
Farkhondeh Alsadat Sajadi: University of Isfahan

Indian Journal of Pure and Applied Mathematics, 2020, vol. 51, issue 4, 1661-1671

Abstract: Abstract We consider a model of the spread of rumour among sceptical individuals. Let X0, X1,… be a {0, 1}-valued Markov chain and ρ0, ρ1, … a sequence of i.i.d. ℕ valued random variables independent of the Markov chain. An individual located at site i ∈ ℕ*:= ℕ ∪ {0} spreads the rumour to the individuals located in the interval [i, i + ρi] provided (i) Xi = 1 and (ii) if s/he has received the rumour from at least two distinct sources j, k

Keywords: Rumour process; Markov chain; complete coverage; eventual coverage; firework process; 60K35 (search for similar items in EconPapers)
Date: 2020
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DOI: 10.1007/s13226-020-0488-3

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