Non-Archimedean Preferences Over Countable Lotteries

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

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.

Categories

Keywords

Reprint years

Other Versions

No versions found

Links

PhilArchive

External links

Setup an account with your affiliations in order to access resources via your University's proxy server

Through your library

My notes

Similar books and articles

Lexicographic expected utility without completeness.D. Borie - 2016 - Theory and Decision 81 (2):167-176.
On the Representation of Incomplete Preferences Over Risky Alternatives.Paola Manzini & Marco Mariotti - 2008 - Theory and Decision 65 (4):303-323.
Preference for equivalent random variables: A price for unbounded utilities.Teddy Seidenfeld, Mark J. Schervish & Joseph B. Kadane - 2009 - Journal of Mathematical Economics 45:329-340.
Infinite Prospects.Jeffrey Sanford Russell & Yoaav Isaacs - 2021 - Philosophy and Phenomenological Research 103 (1):178-198.
Expected utility theory on mixture spaces without the completeness axiom.David McCarthy, Kalle M. Mikkola & Teruji Thomas - 2021 - Journal of Mathematical Economics 97 (December 2021).
Expected discounted utility.Pavlo Blavatskyy - 2020 - Theory and Decision 88 (2):297-313.
Expected utility theory on mixture spaces without the completeness axiom.David McCarthy, Kalle Mikkola & Joaquin Teruji Thomas - 2021 - arXiv:2102.06898 [Econ.TH].
Evaluating the pasadena, altadena, and st petersburg gambles.Terrence L. Fine - 2008 - Mind 117 (467):613-632.
A No-Trade Theorem under Knightian Uncertainty with General Preferences.Chenghu Ma - 2001 - Theory and Decision 51 (2/4):173-181.
Expected utility, independence, and continuity.Kemal Ozbek - forthcoming - Theory and Decision:1-22.

Analytics

Added to PP
2020-04-09

Downloads
839 (#27,408)

6 months
121 (#45,808)

Historical graph of downloads
How can I increase my downloads?

Author's Profile

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.
Decision Theory Unbound.Zachary Goodsell - 2024 - Noûs 58 (3):669-695.
Unbounded Utility.Zachary Goodsell - 2023 - Dissertation, University of Southern California

Add more citations

References found in this work

Risk and Rationality.Lara Buchak - 2013 - Oxford, GB: Oxford University Press.
The Foundations of Statistics.Leonard J. Savage - 1954 - Synthese 11 (1):86-89.
The Foundations of Statistics.Leonard J. Savage - 1956 - Philosophy of Science 23 (2):166-166.
Set Theory and its Philosophy: A Critical Introduction.Michael D. Potter - 2004 - Oxford, England: Oxford University Press.
Games and Decisions: Introduction and Critical Survey.R. Duncan Luce & Howard Raiffa - 1958 - Philosophy and Phenomenological Research 19 (1):122-123.

View all 9 references / Add more references