On the complexity of rationalizing behavior

We study the complexity of rationalizing choice behavior. We do so by analyzing two polar cases, and a number of intermediate ones. In our most structured case, that is where choice behavior is defined in universal choice domains and satisfies the "weak axiom of revealed preference," finding the complete preorder rationalizing choice behavior is a simple matter. In the polar case, where no restriction whatsoever is imposed, either on choice behavior or on choice domain, finding the complete preordersthat rationalize behavior turns out to be intractable. We show that the task of finding the rationalizing complete preorders is equivalent to a graph problem. This allows the search for existing algorithms in the graph theory literature, for the rationalization of choice.

Comparison and evaluation of states of health

Starting from a finite or countable set of states of health, and assumingthe existence of an objective transitive preference relation on that set,we propose a way of performing interpersonal comparisons of states ofhealth. In so doing, we first consider the population divided into types,and consider that two individuals of a different type have a comparablestate of health whenever they sit at the same centile of their respectivetype. A way of comparing and evaluating states of health for differentgroups is then proposed and rationalized. This can be viewed as both analternative and an extension of the traditional QALY approach.