On the Maximal Element Rationalization of Choice Functions
This paper attempts to retain some of the results obtained by Bossert et al., (2005) in relation to maximal element rationalization of a choice function by weakening some rationality conditions invoked by the authors. Bossert et al., (2005) have established that a choice function defined over general domain is maximal element rationalizable, quasi-transitive maximal element rationalizable and acyclic maximal element rationalizable if and only if it satisfies direct exclusion-direct irreversibility existence, direct exclusion-indirect irreversibility existence and indirect exclusion-indirect irreversibility existence respectively. This paper retains the same results under full domain with a set of rationality conditions weaker than those mentioned above. This paper also provides full characterization of quasi-transitive maximal element rationalizable choice function (single valued) defined over general domain.
Rational choice, choice function, maximal element, best element, rationalizabiliry