Template-type: ReDif-Paper 1.0
Author-Name: Tsakas Elias 
Author-workplace-name: METEOR
Title: Rational Probability Measures
Abstract: In this paper we introduce the concept of rational probability measures. These are probabilitymeasures that map every Borel event to a rational number. We show that a rational probabilitymeasure has a finite support. As a consequence we prove a new version of Kolmogorov extensiontheorem. In the second part of the paper we define N-rational probability measures as the set ofprobability measures that map every Borel event to a rational number with denominator in N (subsetof N). We show that for every finite N, the set of N-rational probability measures is closed inthe space of Borel probability measures. The latter is not true when N is infinite.
Keywords: mathematical economics; 
Series: Research Memoranda
Creation-Date: 2011
Number: 037
File-URL: http://digitalarchive.maastrichtuniversity.nl/fedora/objects/guid:be883ba7-f3a1-4572-a061-f3f7413479c6/datastreams/ASSET1/content
File-Format: application/pdf
File-Size: 369679
Handle: RePEc:unm:umamet:2011037