Abstract
This paper explores the problem of manipulating the opinions of team members using dynamic programming methods. The mission of the management is to steer all the opinions of the team members towards a certain pre-defined value. The opinions of participants are shaped by their influence on each other. A member expresses one’s opinion, the others analyze it, and then form a new opinion taking into account the opinions of others. The structure of the team is portrayed as a complete undirected graph with three vertices. The results of numerical modeling illustrate the influence of the selected factors (management, influence of team members on each other, as well as existing connections) on opinion dynamics.
Highlights
This paper explores the problem of manipulating the opinions of team members using dynamic programming methods
The results of numerical modeling illustrate the influence of the selected factors on opinion dynamics
Opinion dynamics in social networks through mean field games // SIAM Journal on Control and Optimization
Summary
Институт прикладных математических исследований КарНЦ РАН, ФИЦ «Карельский научный центр РАН», Петрозаводск, Россия; Петрозаводский государственный университет, Россия. Управление заключается в приведении всех мнений членов коллектива к наперед заданной величине. Процесс формирования мнений участников зависит от влияния их друг на друга. Результаты численного моделирования иллюстрируют влияние выбранных факторов (управление, влияние членов коллектива друг на друга, а также наличие связей) на динамику мнений. This paper explores the problem of manipulating the opinions of team members using dynamic programming methods. The mission of the management is to steer all the opinions of the team members towards a certain pre-defined value. The results of numerical modeling illustrate the influence of the selected factors (management, influence of team members on each other, as well as existing connections) on opinion dynamics. В работе [3] исследуется проблема игры согласованного влияния на мнения участников социальной сети в качестве кооперативной линейно-квадратичной игры в дискретном времени [2]. В настоящей работе предложено исследование, посвященное динамике мнений с учетом системы взаимодействия всех членов коллектива
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