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FOURTH
INTERNATIONAL SYMPOSIUM ON

IMPRECISE PROBABILITIES AND THEIR APPLICATIONS

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Carnegie Mellon University

Pittsburgh, PA, USA

July 20-23 2005

#
ISIPTA'05 ELECTRONIC PROCEEDINGS

## Robin Christian, Arkadii Slinko

# Answers to Two Questions of Fishburn on Subset Comparisons in Comparative Probability Orderings

### Abstract

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 provide answers to two questions of Fishburn.

** Keywords. ** Additively representable linear orders, comparative probability, subjective probability, subset comparisons

** Paper Download **

The paper is availabe in the following formats:

** Authors addresses: **

Robin Christian

Deoartment of Mathematics

The University of Auckland

Private Bag 92019

Auckland

Arkadii Slinko

Deoartment of Mathematics

The University of Auckland

Private Bag 92019

Auckland

** E-mail addresses: **

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