Meanwhile, Rudolph was gathering allies and preparing for battle. He achieved two of these alliances through the classic Habsburg style – marriage. First, he married his son Albert to Elisabeth of Gorizia-Tyrol. In return, her father Count Meinhard II of Gorizia-Tyrol received the Duchy of Carinthia as a fief. Second, he established an — unstable — alliance with Duke Henry I of Lower Bavaria by offering Rudolph's daughter Katharina as wife for the Duke's son, Otto, in addition to the region of present-day Upper Austria as a pledge for her dowry. He also concluded an alliance with King Ladislaus IV of Hungary, who intended to settle old scores with Ottokar.