Mathematics of Operations Research · 1992 · 56 citations · 5 references
Social SciencesMathematicsGame TheoryNash EquilibriumNoncooperative Game TheoryRepeated GamesStochastic GamesApproachability PrinciplesDifferential GamesRepeated Game Models
In this paper, we study repeated games with vector payoffs. Following Blackwell [2], we define weak approachability and its dual property, weak excludability. We use results from differential games with fixed duration to prove that every set is either weakly approachable or weakly excludable.
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An Introduction to Probability Theory.
Bert Fristedt, P. A. P. Moran · Journal of the American Statistical Association · 1986 · 3.4K citations
An analog of the minimax theorem for vector payoffs
David Blackwell · Pacific Journal of Mathematics · 1956 · 758 citations · Full text