A Simple Axiomatization of Binary Rank-Dependent Utility of Gains (Losses). Marley, A. A. J. & Luce, R. D. Journal of Mathematical Psychology, 46(1):40–55, February, 2002.
A Simple Axiomatization of Binary Rank-Dependent Utility of Gains (Losses) [link]Paper  doi  abstract   bibtex   
For binary gambles composed only of gains (losses) relative to a status quo, the rank-dependent utility model with a representation that is dense in intervals is shown to be equivalent to ten elementary properties plus event commutativity and a gamble partition assumption. The proof reduces to a (difficult) functional equation that has been solved by Aczél, Maksa, and Páles (in press).
@article{marley_simple_2002,
	title = {A {Simple} {Axiomatization} of {Binary} {Rank}-{Dependent} {Utility} of {Gains} ({Losses})},
	volume = {46},
	issn = {0022-2496},
	url = {http://www.sciencedirect.com/science/article/pii/S0022249601913744},
	doi = {10.1006/jmps.2001.1374},
	abstract = {For binary gambles composed only of gains (losses) relative to a status quo, the rank-dependent utility model with a representation that is dense in intervals is shown to be equivalent to ten elementary properties plus event commutativity and a gamble partition assumption. The proof reduces to a (difficult) functional equation that has been solved by Aczél, Maksa, and Páles (in press).},
	language = {en},
	number = {1},
	urldate = {2019-11-10},
	journal = {Journal of Mathematical Psychology},
	author = {Marley, A. A. J. and Luce, R. Duncan},
	month = feb,
	year = {2002},
	keywords = {event commutativity, gains partition, rank-dependent utility},
	pages = {40--55},
}

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