Information about the Mediation process, ADR Roster, petitions, rules and policies, and frequently asked questions from the Minnesota Judicial Branch. An arbitrator shall conduct the arbitration process in a manner which advances the fair and efficient resolution of the matters submitted for decision.Minnesota Statutes and Court Rules, Alternative Dispute Resolution Resources, ADR Roster Find a Qualified Neutral ADR, Videos (2) Mediation-Arbitration (Med-Arb). Other ways to solve legal problems are called "alternative dispute resolution" (ADR).