On the existence of the true value of a probability. Part 2: The representation theorem and the ergodic theory
AbstractSome authors, basing their ideas on the exchangeability property, on the postulates of the representation theorem and on its interpretation in the ambit of ergodic theory, believed to find a counterexample to the subjectivist model through the theoretical justification of the existence of an objective probability. As a proof of the inconsistency of this reasoning, the representation theorem allows to assert that the convergence of the relative frequency on a “true value” of the probability is only a metaphysical illusion motivated by an asymptotic behaviour of the personal assessments of initial probabilities, leading to intersubjective assignment. With regard to the ergodic theory, its assimilation to the propensity model allows the demonstration of its metaphysical character and the resulting subjectivity in the assignment f probabilities.
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Bibliographic InfoPaper provided by Universidad del CEMA in its series CEMA Working Papers: Serie Documentos de Trabajo. with number 458.
Length: 34 pages
Date of creation: Jul 2011
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This paper has been announced in the following NEP Reports:
- NEP-ALL-2011-10-01 (All new papers)
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- Albert, Max, 1999. "Bayesian learning when chaos looms large," Economics Letters, Elsevier, Elsevier, vol. 65(1), pages 1-7, October.
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