Expected utility theory without the completeness axiom

By J. Dubra, Fabio Maccheroni, Efe A. Ok. Journal of Economics Theory, 2004

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Cautious Expected Utility and the Certainty Effect (2015, background): “In particular, there exists a set W of continuous functions on [w, b] that constitutes an Expected Multi-Utility representation of ′, that is, p ′ q if and only if Ep(v) ≥ Eq(v) for all v ∈ W (see Dubra et al., 2004).”
Randomization and Ambiguity Aversion (2020, background): “…(2009), Cerreia-Vioglio et al. (2015), and Cerreia-Vioglio, Maccheroni, and Marinacci (2017).16 We verify that %∗ satisfies the axioms in Dubra, Maccheroni, and Ok (2004) and then apply their main theorem to find a closed (and convex) set of continuous functions V such that P %∗ Q if…”
Objective and Subjective Rationality in a Multiple Prior Model (2010, methodology): “Many statisticians were opposed to this line of reasoning,7 and Ellsberg’s (1961) well-known experiments have shown that people often fail to behave in accordance with the Bayesian approach.”
Axiomatic Foundations of Expected Utility and Subjective Probability (2014, methodology): “Dubra et al. (2004) used the topological approach to obtain an analogous result for incomplete expected utility preferences over risky prospects whose domain is a compact metric space.”
Reference-dependent utility with shifting reference points and incomplete preferences (2007, methodology): “To handle it, tools like those in Ok (2002) and Dubra et al. (2004) may have to be combined with the tools presented in this paper.”