Abstract
Abstract This paper is devoted to the study of how the coalition of players interact with the remaining players and vice versa. This is a key question when constructing the characteristic function in cooperative games. In this paper we consider three common approaches to the characteristic function construction in a cooperative differential game of n players: α—, δ— and ζ— characteristic functions and introduce a new characteristics of players’ behavior termed the reaction measure. Moreover, we introduce a new characteristic function which is technically much easy to construct. We study the properties of all considered characteristic functions and make the conclusion that the new characteristic function can be used instead of the classical α— characteristic function. The obtained results are illustrated for a differential game of pollution control.
Sign-in/Register to access full text options 
Talk to us
Join us for a 30 min session where you can share your feedback and ask us any queries you have
Schedule a callDisclaimer: All third-party content on this website/platform is and will remain the property of their respective owners and is provided on "as is" basis without any warranties, express or implied. Use of third-party content does not indicate any affiliation, sponsorship with or endorsement by them. Any references to third-party content is to identify the corresponding services and shall be considered fair use under The CopyrightLaw.
