Carmine was the son of Vincent Falcone, and the heir to the Falcone Empire. He was husband of Louisa Falcone, brother of Carla Viti, and father to Kitrina Falcone, Sofia Falcone, Alberto Falcone, and allegedly, Selina Kyle. His arch-nemesis was Sal Maroni, the head of the Maroni Family.
Carmine ran his operation as a traditional Mafia. He didn't engage with any costumed "freaks" and kept things in the family. He ran several legitimate businesses, such as shipping and garbage collections.
Before Arkham Origins Incident
For over a century, The Falcone Crime Family held absolute power in the Gotham Underworld, but Carmine had been forced to watch his family legacy begin to be usurped as the first "super-criminals" began appearing and masked vigilantes soon followed them. That gave Carmine an unwanted reputation as "Gotham's Last Don."
During Batman's first two years, Carmine was increasing concerned, because Batman was costing his organization money.
Arkham Origins Incident
In order to stave of the competition, Carmine decided to branch out the Falcone's operations, and entered the weapons dealing business. Carmine's son, Alberto, was abducted by the Penguin, and was tortured by him. Penguin demanded that Alberto convince his father to back out of the weapons business. Alberto complied until he is rescued by Batman on the Final Offer.
Cold, Cold Heart Incident
Carmine later lost the gang war with Penguin and was forced out of the gun trade. That was partly due to the fact that the Penguin employed Mr. Freeze to design cryogenic weapons for him (weapons that were originally commissioned by GothCorp).
Between Arkham Origins and Arkham Asylum Incident
Eventually, Carmine was arrested and prosecuted by Harvey Dent, the District Attorney of Gotham.
Imprisoned at Blackgate Prison during his trial, Carmine refused to go down quietly, and, with the help of corrupt prison and court guards, he attacked Dent with acid.
Carmine's trial presumably collapsed after that as he was still a free man years later. According to Dent (by that point the super-villain, Two-Face) years later, Falcone also did that act because he couldn't get to Batman.
Arkham Origins Blackgate Incident
As his trial collapsed following his attack on Dent, Carmine was released, and was not present at Blackgate during the mass breakout.
Arkham Asylum Incident
Carmine and his criminal associates remained aloof during the Arkham Asylum Riots. However, during the distraction provided by the Joker, another new gangster, by the name of Two-Face, robbed a bank without the Don's permission.
Ironical for a man who hated freaks, Carmine had unwittingly created a new one and a rival at that.
Between Arkham Asylum and Arkham City Incident
Following the Arkham Asylum Riots, Carmine became embroiled in another turf war, that time with the Maroni Family. That was the most violent gang war that Carmine had fought. Sadly for the former capo de tutti capi of Gotham, crime worse than that was yet to come.
After the riots at Arkham Asylum, Hugo Strange schemed to open Arkham City. Carmine tried first to bribe, and, after he failed that, intimidate Mayor Quincy Sharp. It was all to no avail. The Mayor then moved to close down the Falcone's businesses, both legal and illegal. Criminals, regardless of their affiliation, wealth, or political connections were being rounded up and sent into Arkham City.
Increasingly desperate, Carmine called a family meeting. After some dispute, Carmine declared that in order to avoid imprisonment, the family must leave Gotham.
But first, Carmine dealt with the Maroni's once and for all (killed dozens of them in an ambush at their Italian restaurant before they left the survivors of the massacre to be arrested) and then, with his family, fled to Bludhaven.
Arkham City Incident
However, Carmine still retained some power in Gotham behind the scenes. It's implied that he worked with Scarecrow, provided him a boat to use as a base, and wrote a note that said that "Mister Fine will arrange a more permanent base."
- It's never explained how Carmine remained unprosecuted for his and Maroni's attack on Harvey Dent or the mass murder of Maroni's as he, somehow, still remained a free man.
- Carmine was the alleged father of Selina Kyle.
- Carmine had some sort of interactions with Calendar Man in the past, which Catwoman referenced in Batman: Arkham City.