Preorderings Compatible with Probability Measures
نویسندگان
چکیده
منابع مشابه
Preorderings Compatible with Probability Measures 1
The main theorem proved in this paper is: Let B be a a-complete Boolean algebra and > a binary relation with field B such that: (i) Every finite subalgebra B' admits a probability measure ¡i' such that for p,qe B',p > qiffii'p>n'q. (ii) If for every i. Pi, q G B andp, Qpi+¡ < q, then U,«.,,,,/), < q. Under these conditions there is a a-additive probability measure ¡ion B such that: (a) If there...
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ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1983
ISSN: 0002-9947
DOI: 10.2307/1999569