On the uniqueness of convex-ranged probabilities
We provide an alternative proof of a theorem of Marinacci [2] regarding the equality of two convex-ranged measures. Specifically, we show that, if P and Q are two nonatomic, countably additive probabilities on a measurable space (S, S), the condition [A* S with 0 < P(A*) < 1 such that P(A*) = P(B)=> Q(A*) = Q(B) whenever B?S] is equivalent to the condition [A,B S P(A) > P(B)=> Q(A) = Q(B)]. Moreover, either one is equivalent to P = Q.
Year of publication: |
2003
|
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Authors: | Amarante, Massimiliano |
Institutions: | Department of Economics, School of Arts and Sciences |
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