Non-Archimedean Preferences Over Countable Lotteries

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

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Jeffrey Sanford Russell
University of Southern California

Citations of this work

Infinite Prospects.Jeffrey Sanford Russell & Yoaav Isaacs - 2021 - Philosophy and Phenomenological Research 103 (1):178-198.
Unbounded Utility.Zachary Goodsell - 2023 - Dissertation, University of Southern California

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