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Unstable diffusion in social networks

Teruyoshi Kobayashi, Yoshitaka Ogisu and Tomokatsu Onaga

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Abstract: How and to what extent will new activities spread through social ties? Here, we develop a more sophisticated framework than the standard mean-field approach to describe the diffusion dynamics of multiple activities on complex networks. We show that the diffusion of multiple activities follows a saddle path and can be highly unstable. In particular, when the two activities are sufficiently substitutable, either of them would dominate the other by chance even if they are equally attractive ex ante. When such symmetry-breaking occurs, any average-based approach cannot correctly calculate the Nash equilibrium - the steady state of an actual diffusion process.

Date: 2021-09
New Economics Papers: this item is included in nep-gth, nep-net, nep-soc and nep-ure
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Published in Journal of Economic Dynamics and Control 146, 104561, 2023

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http://arxiv.org/pdf/2109.14560 Latest version (application/pdf)

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