Summary: This paper discusses choice procedures that select the set of best alternatives taking into account reflexive binary relations (called pseudo-tournaments in the paper), such as those that can be obtained when constructing an outranking relation à la Electre. The paper contains interesting results which link together the second “exploitation” step in the Electre I outranking method with two choice procedures (Gocha and Getcha choice procedures also known in the literature as Schwartz set and Smith set respectively). A set of results that characterize some properties of the two outranking methods (ElectI and ElectIP choice procedures) is also presented.