Blyth’s paradox «of three pies»: setwise vs. pairwise event preferences

Oleg Yu. Vorobyev ()

MPRA Paper from University Library of Munich, Germany

Abstract: The pairwise independence of events does not entail their setwise independence (Bernstein’s example, 1910-1917). The probability distributions of all pairs of events do not determine the probability distribution of the whole set of events (the triangular room paradox of negative probabilities of events [8, 9, 2001]). The pairwise preferences of events do not determine their setwise preferences (Blyth’s paradox, 1972). The eventological theory of setwise event preferences, proposed in [8, 2007], gives an event justification and extension of the classical theory of preferences and explains Blyth’s paradox «of three pies»1 (that was already well-known to Yule2) by human ability to use triplewise and morewise preferences.

Keywords: Eventology; event; probability; preference; pairwise event preferences; setwise event preferences; theory of setwise event preferences. (search for similar items in EconPapers)
JEL-codes: A1 A14 C0 C02 C4 C46 C6 C63 C65 Z1 Z13 (search for similar items in EconPapers)
Date: 2016-09-30
New Economics Papers: this item is included in nep-cta
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Published in Proceedings of the XV FAMEMS-2016 Conference and the Workshop on Hilbert's sixth problem, Krasnoyarsk, Russia (2016): pp. 102-108

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