Infinite Previsions and Finitely Additive Expectations Mark J. Schervish Teddy Seidenfeld Joseph B. Kadane 10.1184/R1/6492005.v1 https://kilthub.cmu.edu/articles/journal_contribution/Infinite_Previsions_and_Finitely_Additive_Expectations/6492005 <p>We give an extension of de Finettiā€™s concept of coherence to unbounded (but real-valued) random variables that allows for gambling in the presence of infinite previsions. We present a finitely additive extension of the Daniell integral to unbounded random variables that we believe has advantages over Lebesgue-style integrals in the finitely additive setting. We also give a general version of the Fundamental Theorem of Prevision to deal with conditional previsions and unbounded random variables.</p> 2014-01-01 00:00:00 coherence Daniell integral finitely additive probability infinite expectation prevision unbounded random variables