ORIHUELA ESPINA, DIEGO LUIS, MILLÁN GATA, PABLO, CARBONELL MÁRQUEZ, JUAN FRANCISCO
No
IFAC-PapersOnLine
Proceedings Paper
Científica
0.26
01/01/2017
000423965200048
2-s2.0-85044252716
This paper deals with the conflicting situation in which a set of players (or agents) have local objective functions, but depending on both: local decisions and decisions of other players. In particular, the cost functions are quadratic in the local decision variables, but they are linearly coupled with the decisions of neighbors. The players follow a game-based distributed negotiation pursuing to reach an equilibrium that satisfies them. This work derives the conditions for the existence, uniqueness and stability of Nash equilibriums when the decision variables are not constrained. For the case of constrained decision variables, the paper develops sufficient conditions for the convergence to these equilibriums. These results find application in distributed agent-based estimation, when the amount of information to be transmitted is limited. (C) 2017, IFAC (International Federation of Automatic Control) Hosting by Elsevier Ltd. All rights reserved.
Nash games; decision making; optimization problems; distributed control