# Abstract - Economics Research Reports

## A Pleasant Homeomorphism for Conditional Probability Systems

By Peter A. Streufert (University of Western Ontario)

**December, 2002**

Suppose that there are n states, each denoted by i Є
{1,2,...n}. This paper shows that the function [*p*_{i|E}]_{i
Є E}* →* [Σ_{j }
_{≠ i}* p _{i}*

*|*

_{{i, j}}]

_{ i}is a homeomorphism from the set of conditional probability systems onto the convex hull of all permutations of the

*n*-dimensional vector (0,1,2,...

*n*-1).n

*JEL* Classification:

Keywords:

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