You searched for: “arbitrates
arbitrate (verb), arbitrates; arbitrated; arbitrating
To settle a disagreement or an argument between two or more people or groups after hearing the opinions and ideas of both: Kate will arbitrate the dispute between her son and daughter as to which one will get to eat the last piece of cake.

An official was assigned to arbitrate which runner crossed the finish line first.

2. Etymology: from Latin arbitrat-, "judged"; from arbitrari, "to judge" from arbiter, "judge, supreme ruler".
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