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

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