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Rumour Propagation Among Sceptics: The Markovian Case

Author

Listed:
  • Neda Esmaeeli

    (University of Isfahan)

  • Farkhondeh Alsadat Sajadi

    (University of Isfahan)

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

Suggested Citation

  • Neda Esmaeeli & Farkhondeh Alsadat Sajadi, 2020. "Rumour Propagation Among Sceptics: The Markovian Case," Indian Journal of Pure and Applied Mathematics, Springer, vol. 51(4), pages 1661-1671, December.
    • Handle: RePEc:spr:indpam:v:51:y:2020:i:4:d:10.1007_s13226-020-0488-3
    DOI: 10.1007/s13226-020-0488-3
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