Abstract
Let ∗[V( R)] be an ω 1-saturated enlargement in the sense of Keisler (1977) and let F be a hyperfinite finite set in ∗ N . Following the suggestion of Wesley (1971) we define a class of hyperfinite games of the form: Γ F ( ∗υ)=〈Φ, A( F), ∗υ〉 , and show that measure-theoretic analogues of the kernel and bargaining set exist in this nonstandard setting such that their standard parts Loeb-measurable measurable on the Loeb space generated by the internal ∗finitely additive measure u F : A( F)→ ∗ R + .
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