The quality of being persuasible.

(law) A precedent set in a court that has no precedence over another but whose decisions are considered to be sufficiently useful that they may be used, although they are not binding until used by a superior court.

plural of persuasive precedent

(law) The duty upon a party in a legal proceeding to persuade the fact-finder to decide for that party on an assertion of fact; part of the burden of proof, sometimes loosely used as synonym for that term.