Definition of "arbitrate"

arbitrate

/ˈɑːbɪtreɪt/

verb
third-person singular simple present arbitrates, present participle arbitrating, simple past and past participle arbitrated
1. To make a judgment (on a dispute) as an arbitrator or arbiter
  Quotations
  There shall your swords and lances arbitrate / The swelling difference of your settled hate.
  1595 December 9 (first known performance), William Shakespeare, “The life and death of King Richard the Second”, in Mr. William Shakespeares Comedies, Histories, & Tragedies: Published According to the True Originall Copies (First Folio), London: […] Isaac Iaggard, and Ed[ward] Blount, published 1623, [Act I, scene i]
2. To submit (a dispute) to such judgment
3. (mathematics, rare) To assign an arbitrary value to, or otherwise determine arbitrarily.