Rationalization of Indecisive Choice Behavior By Pluralist Ballots

An extensive choice is a possibly indecisive choice behavior, in which all, some or none of the items in a menu may be selected. We describe a bounded rationality model for extensive choices, which relies on a pluralist paradigm. An extensive choice is s-pluralist if there is a population of voters (identified by arbitrary binary relations) such that all items selected from menus are those endorsed by a share of voters larger than s. We prove that all forms of pluralism are equivalent to a well-known behavioral property, namely Chernoff axiom