Abstract
In the present paper we prove a conjecture of the author (1985) for the important case that the space of the possible states of nature is a compact Hausdorff space thus generalizing a result of Heath and Sudderth (1978) to the countably additive setting. No topological assumption is made on the space of observations. We observe that posteriors need not always exist and discuss conditions ensuring the existence of a posterior.
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© 1988 D. Reidel Publishing Company, Dordrecht, Holland
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Skala, H.J. (1988). On σ-Additive Priors, σ-coherence, and the Existence of Posteriors. In: Munier, B.R. (eds) Risk, Decision and Rationality. Theory and Decision Library, vol 9. Springer, Dordrecht. https://doi.org/10.1007/978-94-009-4019-2_32
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DOI: https://doi.org/10.1007/978-94-009-4019-2_32
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