This chapter discusses different types of domain restrictions. We begin by analyzing various qualitative conditions on preference profiles. Value-restricted preferences (with single-peaked preferences as one of its subcases), limited agreement as well as antagonistic and dichotomous preferences...

In this paper we fully characterize an individual's choice behaviour according to three different so-called external references. The first system which we describe axiomatically is standard utility maximization or preference optimization. The second approach characterizes the choice of the...