Journal of Mathematical Economics 88 (May 2020):180-186 (2020)

Authors
Jeffrey Sanford Russell
University of Southern California
Abstract
We prove a representation theorem for preference relations over countably infinite lotteries that satisfy a generalized form of the Independence axiom, without assuming Continuity. The representing space consists of lexicographically ordered transfinite sequences of bounded real numbers. This result is generalized to preference orders on abstract superconvex spaces.
Keywords non-Archimedean preferences  St. Petersburg paradox  utility representations  lexicographic utility  decision theory  Pascal's wager
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Infinite Prospects.Jeffrey Sanford Russell & Yoaav Isaacs - forthcoming - Philosophy and Phenomenological Research.

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