arbitrate

Etymology

From Latin arbitratus, past participle of arbitrari (“to be a witness, act as umpire”), from arbiter (“umpire”); see arbiter.

verb

1. To make a judgment (on a dispute) as an arbitrator or arbiter
   to arbitrate a disputed case
2. To submit (a dispute) to such judgment
3. (mathematics, rare) To assign an arbitrary value to, or otherwise determine arbitrarily.
   We wish to show f is continuous. Arbitrate epsilon greater than zero...