So another question inspired by Marco Polo here. The Khans of the earlier Mongol hordes such as Kublai were very directly connected with the legacy and prowess of Genghis. They sought to assume the mantle of the Great Khan and so were probably used to expected victory in all military affairs. After all, they had quite a string of success. So when they first lost to the Mamelukes, what was the reaction from the Khan in charge of that horde? What was the reaction in subsequent losses?
The Khan (Hulagu, Khan of the Ilkhanate) wasn't there when the Mamlukes defeated the Mongols. Hulagu had about 150,000 men under his command in the region but withdrew with his men to Mongolia to attend the khurultai (election) when Mongke Khan died. Leaving only a garrison of about 10,000 under a lieutenant. This was the force that the Mamlukes defeated. It was hardly significant in the grand scheme of things. When Hulagu heard of this defeat, he marched his forces back to strike at the Mamlukes but..
In the East a civil war was breaking out. Kublai and Arik Boke had both declared themselves Khan of the empire because Mongke hadn't named an heir. In 'Marco Polo' [spoiler warning?] this was oversimplified by having the two brothers just duel it out but in reality it was like a world war had broken out. Hulagu supported Kublai, and Berke supported Arik Boke. Berke Khan of the Golden Horde also had a bone to pick with Hulagu because he was a muslim and took offence to Hulagu sacking Baghdad and generally massacring muslims.
Before Hulagu could deal with the Mamlukes the Golden Horde attacked and they were locked in a war that lasted five years (Hulagu died half way in). The Mongol empire was no longer united, when Kublai called for an official Khurultai (his previous one wasn't kosher because not everyone was there and he didn't hold it in Mongolia) after defeating Arik Boke, none of the other Khans showed up.
So after a bit of rambling, what was the Khans' reaction to loss? To send men to counter attack. But in this case they were too busy fighting a civil war to get round to dealing with the Mamlukes.