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An imitation model based on the majority

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  • Li, Hsin-Lun

Abstract

In the voter model, agents possess binary opinions. At each time step, an agent is selected along with a social neighbor and adopts the opinion of that neighbor at the next time step. In this paper, we delve into a variant of the voter model known as an imitation model based on the majority. This model represents a network opinion framework where individuals, situated on the vertex set of a finite connected graph interpreted as a social network, exhibit one of two competing opinions labeled as +1 and −1. The agent alters its opinion solely when the count of social neighbors holding opposing viewpoints exceeds those aligning with the agent’s opinion. We explore the conditions leading to a consensus and investigate the probability of consensus on a finite connected social graph.

Suggested Citation

  • Li, Hsin-Lun, 2024. "An imitation model based on the majority," Statistics & Probability Letters, Elsevier, vol. 206(C).
    • Handle: RePEc:eee:stapro:v:206:y:2024:i:c:s0167715223002316
    DOI: 10.1016/j.spl.2023.110007
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    References listed on IDEAS

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    1. Andjel, Enrique D. & Liggett, Thomas M. & Mountford, Thomas, 1992. "Clustering in one-dimensional threshold voter models," Stochastic Processes and their Applications, Elsevier, vol. 42(1), pages 73-90, August.
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