Combinatorial Models of Subjective States

Abstract

I identify subjective state spaces for three structures --- complete and transitive preferences, incomplete dominance relations, and choice functions --- that are given on finite menus. These structures can be modeled together or separately. My results employ some combinatorial techniques and motivations. In particular, up to k subjective states can be derived from monotonic preferences over menus that have at most K elements, or from choices in menus that have at most K1 elements.