We consider existence and properties of saddle points of multivalued payoff functions on metric spaces and existence of active zero-sum equilibria which generalize the notion of saddle-point equilibrium. The results are applied to programmed zero-sum differential games.
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Hong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Li, Xun
Shen, Jie
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City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China
Shen, Jie
Song, Qingshuo
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City Univ Hong Kong, Dept Math, Kowloon, Hong Kong, Peoples R ChinaHong Kong Polytech Univ, Dept Appl Math, Kowloon, Hong Kong, Peoples R China