Apart from his function as a lawsayer and chairman of the court, the lǫgsǫgumaðr had no formal power, but he would often be appointed as an arbitrator in the frequently arising disputes.
Bortset fra sin funktion som lovsiger og retsformand havde lǫgsǫgumaðr ingen formel magt, men han blev ofte udnævnt til voldgiftsmand i de hyppige tvister mellem stormændene.