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  1. Who Should Be My Friends? Social Balance from the Perspective of Game Theory.Wiebe van der Hoek, Louwe B. Kuijer & Yì N. Wáng - 2022 - Journal of Logic, Language and Information 31 (2):189-211.
    We define balance games, which describe the formation of friendships and enmity in social networks. We show that if the agents give high priority to future profits over short term gains, all Pareto optimal strategies will eventually result in a balanced network. If, on the other hand, agents prioritize short term gains over the long term, every Nash equilibrium eventually results in a network that is stable but that might not be balanced.
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  • Dynamic Logics of Diffusion and Link Changes on Social Networks.Edoardo Baccini, Zoé Christoff & Rineke Verbrugge - forthcoming - Studia Logica:1-71.
    This paper introduces a comprehensive logical framework to reason about threshold-driven diffusion and threshold-driven link change in social networks. It considers both monotonic dynamics, where agents can only adopt new features and create new connections, and non-monotonic dynamics, where agents may also abandon features or cut ties. Three types of operators are combined: one capturing diffusion only, one capturing link change only, and one capturing both at the same time. We first characterise the models on which diffusion of a unique (...)
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