In the rule “Transition of Power” replace the text “the Heir whose single strongest Claim is stronger than all other Heirs’ strongest Claims achieves victory. If multiple Heirs are tied for strongest, their next-strongest Claims are successively compared.” with this text:

the Heir who has the highest total Claim Strength, which is all of that Heir’s Claim Strengths added together, achieves victory. If multiple Heirs are tied for highest total Claim Strength, the Heir with the highest Reputation among those Heirs achieves victory. If multiple Heirs are tied for highest total Claim Strength and highest Reputation, the Heir with the highest total Estate Prestige, which is all of that Heir’s Estate Prestiges added together, among those Heirs achieves victory.