## Abstract

We introduce and analyze the Balanced Outcome-Set Expected Utility (BOSEU) model for decision-making under uncertainty.

A prior and a balanced outcome-set utility characterize a BOSEU decision-maker. Her prior is defined over those events she perceives as unambiguous and hence willing to quantify with a precise probability. Using her prior, the decision-maker transforms each act into an outcome-set act that assigns a

set of outcomes to each state. Her balanced outcome-set utility assigns a utility to each outcome-set relative to a ``balance'' point. She implicitly ranks each act according to the balance point

required to equate the balanced outcome-set expected utility of the associated outcome-set act with zero. As a consequence her

risk preferences need only exhibit betweenness allowing for behavior that can accommodate Allais-type paradoxes.

A prior and a balanced outcome-set utility characterize a BOSEU decision-maker. Her prior is defined over those events she perceives as unambiguous and hence willing to quantify with a precise probability. Using her prior, the decision-maker transforms each act into an outcome-set act that assigns a

set of outcomes to each state. Her balanced outcome-set utility assigns a utility to each outcome-set relative to a ``balance'' point. She implicitly ranks each act according to the balance point

required to equate the balanced outcome-set expected utility of the associated outcome-set act with zero. As a consequence her

risk preferences need only exhibit betweenness allowing for behavior that can accommodate Allais-type paradoxes.

Original language | English |
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Publication status | Published - 7 Jul 2023 |