Abstract
We study the basic first passage properties of a discrete one-dimensional mathematical model of opinion dynamics. The model studied here is a generalization of the original Sznajd model, which consists of introducing a new parameter p, being the probability of disagreement with the nearest neighbor in case of uncertainty. We study the model via Monte Carlo simulations and show that the exit probability does not change with the size of the system N, whereas the average exit time \(\tau \) scales with N as \(\tau \sim N^{\alpha }\). Moreover, we show that generally the consensus is reached more rapidly if agents disagree more often with their nearest neighbors in case of uncertainty.
T. W. was supported by the Ministry of Science and Higher Education, Poland within the “Diamond Grant” Program through grant no. DI2019 0008 49 and K. S-W. by the National Science Center (NCN, Poland) through grant no. 2016/21/B/HS6/01256.
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Weron, T., Sznajd-Weron, K. (2021). How to Reach Consensus? Better Disagree with Your Neighbor. In: Paszynski, M., Kranzlmüller, D., Krzhizhanovskaya, V.V., Dongarra, J.J., Sloot, P.M. (eds) Computational Science – ICCS 2021. ICCS 2021. Lecture Notes in Computer Science(), vol 12744. Springer, Cham. https://doi.org/10.1007/978-3-030-77967-2_26
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