how to defeat the mongols?

[Spino]

I'm going to have to retract my earlier assertion that it was the Khwarazmian Empire that handed the Mongols one of their more significant losses. I am certain that someone other than the Mamluks beat the Mongols initially only to be decisively defeated in a subsequent battle. The recents posts in this thread rattled my memory sufficiently enough to withdraw Khwarazmia from the list. I'm feeling particularly lazy today so i'll leave it up to the more knowledgable here to shed some light on this topic. It's true that Khwarazmia was certainly one of the larger nations whose military had the potential to beat the Mongols but inexcusable arrogance combined with poor leadership via their squandered opportunities ultimately cost them their entire civilization.

...Counter attacks would have been extremely unwise, because their enemies always tried that. And the Mongols always were just pretending to retreat, and the enemies almost always died.

Well in the case of Ain'Jalut it was the Mamluks who feigned a retreat, thus luring the Mongols into a hasty and ill advised pursuit. Clearly counter attacking when your enemy is overzealous and overextended is generally considered a wise decision.