Modeling stochastic dynamics of agents with multi-leveled opinions and binary actions

Abstract : A stochastic multi-agent opinion dynamics model is proposed and analyzed, in which, the multi-leveled opinion of each agent is influenced by a random neighbor's binary action, determined by its opinion level. This model is shown to asymptotically produce consensus with a finite number of connected agents. On the other hand, when the number of agents is large, the time to achieve consensus can become exponentially high, potentially resulting in other equilibrium points based on the structure of the connectivity graph. Numerical simulations validate the proposed analysis, and demonstrate these other equilibrium points, that exist when a large number of agents are present.
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Vineeth Varma, Irinel-Constantin Morarescu. Modeling stochastic dynamics of agents with multi-leveled opinions and binary actions . 56th IEEE Conference on Decision and Control, CDC 2017, Dec 2017, Melbourne, Australia. ⟨hal-01653179⟩

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