We characterize a new quasi-ordering on the collection of opportunity (or choice) sets. This new rule combines two criteria: the individual preferences on the universal set of options and the number of maximal options in the opportunity set. This new rule is compared with the indirect utility...

We introduce and axiomatize two quasi-orderings that extend preferences on a set to its power set. First, a modified version of indirect utility takes into account the number of maximal elements in the opportunity set. This rule meets Puppe's axiom of preference for freedom. Second, an averaging...