Answers to Two Questions of Fishburn on Subset Comparisons in Comparative Probability Orderings
نویسندگان
چکیده
We show that every additively representable comparative probability ordering is determined by at least n− 1 binary subset comparisons. We show that there are many orderings of this kind, not just the lexicographic ordering. These results provide answers to two questions asked by Fishburn.
منابع مشابه
Flippable Pairs and Subset Comparisons in Comparative Probability Orderings
We show that every additively representable comparative probability order on n atoms is determined by at least n − 1 binary subset comparisons. We show that there are many orders of this kind, not just the lexicographic order. These results provide answers to two questions of Fishburn et al (2002). We also study the flip relation on the class of all comparative probability orders introduced by ...
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