In this paper we study decision making in situations where the individual's preferences are not assumed to be complete. First, we identify conditions that are necessary and sufficient for choice behavior in general domains to be consistent with maximization of a possibly incomplete preference...

This paper proposes a model of choice that does not assume completeness of the decision maker's preferences. The model explains in a natural way, and within a unied framework of choice when preference-incomparable options are present, four behavioural phenomena: the attraction effect, choice...

Sufficient conditions are provided for a possibly incomplete preference preorder on a topological space to be closed in the product space if and only if it has closed upper and lower contour sets. Notably, it is shown that the two properties are equivalent if the domain of the preorder is a...

This paper proposes and characterises two preference-based choice rules that allow the decision maker to choose nothing if the criteria associated with them are satisfied by no feasible alternative. Strict preferences are primitive in the first rule and weak preferences in the second. Each of...

This paper proposes a model of individual choice that does not assume completeness of the decision maker's preferences. The model helps explain in a natural way, and within a unied framework of choice in the presence of preference-incomparable options, three distinct behavioural phenomena: the...

A weak (strict) preference relation is continuous if it has a closed (open) graph; it is hemicontinuous if its upper and lower contour sets are closed (open). If preferences are complete these four conditions are equivalent. Without completeness continuity in each case is stronger than...

The neoclassical consumer maximizes utility and makes choices by completely preordering the feasible alternatives and weighing when indifferent. The consumer studied in this paper chooses by weighing when indifferent and also when indecisive, without necessarily preordering the alternatives or...

We propose Bayesian inference in hazard regression models where the baseline hazard is unknown, covariate effects are possibly agevarying (non-proportional), and there is multiplicative frailty with arbitrary distribution. Our framework incorporates a wide variety of order restrictions on...