Abstract
We consider non zero sum two players differential games. We study Nash equilibrium payoffs and publicly correlated equilibrium payoffs. If players use deterministic strategies, it has been proved that the Nash equilibrium payoffs are precisely the reachable and consistent payoffs. Referring to repeated games, we introduce mixed strategies which are probability distributions over pure strategies. We give a characterization of the set of Nash equilibrium payoffs in mixed strategies. Unexpectedly, this set is larger than the closed convex hull of the set of Nash equilibrium payoffs in pure strategies. Finally, we study the set of publicly correlated equilibrium payoffs for differential games and show that it is the same as the set of Nash equilibrium payoffs using mixed strategies.KeywordsNon cooperative differential gamesNash equilibrium payoffPublicly correlated equilibrium payoffMixed strategy
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.
