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On One Feature of Multicriteria Differential Games
Authors:V. I. Zhukovskii
Affiliation:(1) Russian Correspondence Study Institute of Textile and Light Industry, Moscow, Russia
Abstract:Differential two-person zero-sum games with a vector payoff function are considered. A counterexample states that a payoff function component convolution into a linear convolution and further finding saddle point results in the interior instability of a set of such solutions. It is found that such saddle points are Geoffrion saddle points for an initial multicriteria game.
Keywords:saddle point  differential games  problem of group pursuit  vector criterion
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