This rule states that "a judge shall not act as an arbitrator or a mediator or perform other judicial functions apart from the judge's official duties unless expressly authorized by law."
Wyoming Code of Judicial Conduct Rule 3.9: Service as Arbitrator or Mediator
Wyoming Judicial Branch. Feb. 1, 2016https://www.courts.state.wy.us/wp-content/uploads/2017/05/WYOMING_CODE_OF_JUDICIAL_CONDUCT.pdf