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De Finetti coherence and the product law for independent events
pp. 265-271
Abstrakt
In an earlier paper the present author proved that de Finetti coherence is preserved under taking products of coherent books on two finite sets of independent events. Conversely, in this note it is proved that product is the only coherence preserving operation on coherent books. Our proof shows that the traditional definition of stochastically independent classes of events actually follows from the combination of two more basic notions: boolean algebraic independence and de Finetti coherent betting system.
Publication details
Published in:
(2019) Synthese 196 (1).
Seiten: 265-271
DOI: 10.1007/s11229-017-1471-3
Referenz:
Mundici Daniele (2019) „De Finetti coherence and the product law for independent events“. Synthese 196 (1), 265–271.