Name
Abstract | ||
|---|---|---|
In this article, we study the optimal control problem arising from the mean-field game formulation of the collective decision-making in honeybee swarms. A population of homogeneous players (the honeybees) has to reach consensus on one of two options. We consider three states: the first two represent the available options (or strategies), and the third one represents the uncommitted state. We formulate the continuous-time discrete-state mean-field game model. The contributions of this article are the following: 1) we propose an optimal control model where players have to control their transition rates to minimize a running cost and a terminal cost, in the presence of an adversarial disturbance; 2) we develop a formulation of the micro–macro model in the form of an initial-terminal value problem with switched dynamics; 3) we study the existence of stationary solutions and the mean-field Nash equilibrium for the resulting switched system; 4) we show that under certain assumptions on the parameters, the game may admit periodic solutions; and 5) we analyze the resulting microscopic dynamics in a structured environment where a finite number of players interact through a network topology. |
Year | DOI | Venue |
|---|---|---|
2022 | 10.1109/TAC.2021.3110166 | IEEE Transactions on Automatic Control |
Keywords | DocType | Volume |
Mean-field game theory,multiagent systems,social networks,switched systems | Journal | 67 |
Issue | ISSN | Citations |
8 | 0018-9286 | 0 |
PageRank | References | Authors |
0.34 | 18 | 3 |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Leonardo Stella | 1 | 11 | 4.01 |
| Dario Bauso | 2 | 0 | 0.68 |
| Patrizio Colaneri | 3 | 950 | 90.11 |