A note on cancellation axioms for comparative probability

Matthew Harrison-Trainor (), Wesley Holliday () and Thomas Icard ()

Theory and Decision, 2016, vol. 80, issue 1, 159-166

Abstract: We prove that the generalized cancellation axiom for incomplete comparative probability relations introduced by Ríos Insua (Theory Decis 33:83–100, 1992 ) and Alon and Lehrer (J Econ Theory 151:476–492, 2014 ) is stronger than the standard cancellation axiom for complete comparative probability relations introduced by Scott (J Math Psychol 1:233–247, 1964 ), relative to their other axioms for comparative probability in both the finite and infinite cases. This result has been suggested but not proved in the previous literature. Copyright Springer Science+Business Media New York 2016

Keywords: Cancellation axioms; Comparative probability; Qualitative probability; Incomplete relations (search for similar items in EconPapers)
Date: 2016
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DOI: 10.1007/s11238-015-9491-2

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