The Game: I Got Love for Madonna, But Her $10k Flint Check Is Soft!

The Game stepped up his Flint water crisis game ... forking over $500k from his own pocket ... and charity-shamed Madonna and Jimmy Fallon while he was at it.

Game came on "TMZ Live" to talk about his big donation -- he teamed with AvitaWater, which matched his check for a whopping $1 mil total for residents of Flint. His sister and her kids live there ... so, it was personal for Game.

He also explained his shot at Fallon and Madonna -- calling their $10,000 pledges, "cute" -- saying there's a method to his madness.

As for posting a screengrab of his wire transfer, and therefore revealing he has $13 MILLION chilling in checking?!!! Game says it's hard earned cash, and it's going to serious good.