Abstract
Opinion dynamics of stubborn agents under the presence of a troll as differential game
Highlights
Opinion dynamics is defined as the study of how large groups interact with each other and reach consensus [1]
Explicit expressions of opinions are derived for such a scenario by using Pontryagin’s principle based on [24]. Such a game theoretical model of social networks is useful since it provides a rigorous mathematical tool which provides a deeper understanding of opinion dynamics under the presence of a troll
Problem definition Our objective is to model opinion dynamics of a social network as a differential game played by a troll in addition to n − 1 ordinary agents
Summary
Opinion dynamics is defined as the study of how large groups interact with each other and reach consensus [1]. Explicit expressions of opinions are derived for such a scenario by using Pontryagin’s principle based on [24] Such a game theoretical model of social networks is useful since it provides a rigorous mathematical tool which provides a deeper understanding of opinion dynamics under the presence of a troll. 2. Problem definition Our objective is to model opinion dynamics of a social network as a differential game played by a troll in addition to n − 1 ordinary agents. Problem definition Our objective is to model opinion dynamics of a social network as a differential game played by a troll in addition to n − 1 ordinary agents This problem is crucial since it provides insight into the dynamics of opinions by using rigorous differential games and Nash equilibrium concepts. As τ gets closer to a value so as to have r π 2τ for some integer k , the amplitude of oscillation gets larger to eventually prohibit the existence of an equilibrium
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