Þorsteinn Ingólfsson, son of Ingólfr Arnarson, was a goði when the Althing was founded in 930 and became the first allsherjargoði.
His son, Þorkell máni Þorsteinsson, inherited the office ca.
He held the office until his death in 1197 when his son, Magnús góði Guðmundarson, took over.
One theory holds that Árni óreiða Magnússon, nephew of Guðmundr gríss and son-in-law of Snorri Sturluson, inherited the office and became the last allsherjargoði.
The Icelandic Commonwealth came to an end in 1262 when the goðar pledged fealty to the Norwegian king.