you can't even tell, if it is exclusivity bought. a lot of developers just choose not to release games on xbox, and xbots blames PS for it, like wtf?
there are even deals happening because the game has no publisher, so sony risk to publish, so that's where exclusivity can come from.
some IP holders approach for funding and gives exclusivity, like Marvel did with Spider Man, they approach M$, but they declined, so Sony grab them( so now sony is guilty). the same happened with KOTOR.
or exclusivity comes when developers has no funds to create game and said game would maybe never came, like SF5.
All of this is true