Complete characterization of domains of choice functions for rationalizability

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In the literature related to choice theory an important problem dealt at length is the rationalizability of choice function of an individual. In the literature a number of choice consistency conditions have been postulated, which guarantee best element and maximal element rationalizability of choice functions. In this paper a set of necessary and sufficient conditions have been derived for the domain to be such that every possible choice function defined over the domain has a best element (maximal element) rationalization. Thus the paper provides complete characterization of partition of domains separately for best and maximal element rationalizable choice functions.

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