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- Title
The Euler-Equation Approach in Average-Oriented Opinion Dynamics †.
- Authors
Mazalov, Vladimir; Parilina, Elena
- Abstract
We consider the models of average-oriented opinion dynamics. An opinion about an event is distributed among the agents of a social network. There are an optimization problem and two game-theoretical models when players as centers of influence aim to make the opinions of the agents closer to the target ones in a finite time horizon minimizing their costs. The optimization problem and the games of competition for the agents' opinion are linear-quadratic and solved using the Euler-equation approach. The optimal strategies for optimization problem and the Nash equilibria in the open-loop strategies for the games are found. Numerical simulations demonstrate theoretical results.
- Subjects
NASH equilibrium; STRATEGY games; NONCOOPERATIVE games (Mathematics); TIME perspective; SOCIAL networks; COMPUTER simulation
- Publication
Mathematics (2227-7390), 2020, Vol 8, Issue 3, p355
- ISSN
2227-7390
- Publication type
Article
- DOI
10.3390/math8030355