Tests of rank-dependent utility and cumulative prospect theory in gambles represented by natural frequencies: Effects of format, event framing, and branch splitting

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Testing for intransitivity of preferences predicted by a lexicographic semi-order (2007, methodology): “pendence from the observed pattern ( Birnbaum, 2004a, 2004b; Birnbaum & Navarrete, 1998), and PH cannot”
Tests of Branch Splitting and Branch-Splitting Independence in Allais Paradoxes with Positive and Mixed Consequences. (2007, methodology): “By dissecting coalescing and branch independence, we can test among alternative descriptive models (Birnbaum, 1999a, 2004a).”
Paradoxes and mechanisms for choice under risk (2014, methodology): “One puzzle in the literature is provided by the widespread use of POR rather than PAS to test hypotheses for CPT; see, for examples, papers by Birnbaum (2004, 2008), Kothiyal et al. (2014), Harrison and Rutström (2009), and Wakker et al. (2007).”
An experimental investigation of violations of transitivity in choice under uncertainty (2008, methodology): “An approach that is neutral with respect to the issue of transitivity has been suggested by Birnbaum (2004b) and applied by Birnbaum and Gutierrez (2007) in testing predicted violations of transitivity that are predicted by lexicographic semiorders and reported by Tversky (1969).”