The conventional mechanisms of making the best choice, in particular, optimization mechanisms, make explicit or implicit use of the structural principle of "pair comparability" for variants and of the specific logic of the "dominant" rule for choice. This paper argues for going beyond the framework of "pairness-dominance" on the structures and rules of choice and for using "nonconventiond" structures and rules. This is showto be possible if the notions of "multitudinal influences of variants" is formalized in determining the best choices.

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