On a Structure of the Set of Differential Games Values
Yurii Averboukh
TL;DR
This paper characterizes the set of value functions for all zero-sum differential games with terminal payoffs, providing a necessary and sufficient condition for a function to be a game value.
Contribution
It introduces a complete characterization of value functions for differential games, including a criterion to identify valid game values.
Findings
Provides a necessary and sufficient condition for a function to be a differential game value.
Characterizes the entire set of possible value functions for zero-sum differential games.
Advances understanding of the structure of differential game solutions.
Abstract
In this paper the set of value functions of all-possible zero-sum differential games with terminal payoff is characterized. The necessary and sufficient condition for a given function to be a value of some differential game with terminal payoff is obtained.
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Taxonomy
TopicsAquatic and Environmental Studies · Advanced Research in Systems and Signal Processing · Mathematical Control Systems and Analysis