Title
The Banzhaf value as a design tool in coalitional control.
Abstract
In this paper, the game theory solution concept known as Banzhaf value is applied to games in coalitional control schemes. In these schemes, the network topology is modified to achieve a trade-off between performance and communication burden. In particular, we show how to design a coalitional scheme with constraints regarding the Banzhaf value. Several similarities and differences of this value with respect to the Shapley value are stated, and the concept of amalgamated game is introduced in coalitional control as a means to relieve the computational burden. Finally, an academic simulation example illustrates the results obtained in this work.
Year
DOI
Venue
2017
10.1016/j.sysconle.2017.03.007
Systems & Control Letters
Keywords
Field
DocType
Banzhaf value,Coalitional control,Distributed control,Cooperative game theory,Amalgamated games
Mathematical economics,Mathematical optimization,Shapley value,Design tool,Network topology,Cooperative game theory,Game theory,Solution concept,Mathematics
Journal
Volume
ISSN
Citations 
104
0167-6911
2
PageRank 
References 
Authors
0.39
9
4
Name
Order
Citations
PageRank
Muros, F.J.1113.70
Encarnación Algaba Durán2799.14
Jose Maria Maestre33214.98
Eduardo F. Camacho416925.28