According to Quantic Dreams' David Cage, Sony ended up with the exclusive to Heavy Rain on PS3 because Microsoft made a decision to turn it down due to some content in the game that they were strongly concerned about. Heavy Rain, which won a BAFTA award for Best Story in 2011, featured a storyline about a man in a desperate search for his abducted child, which Microsoft apparently thought could cause the company some controversy.
"We had a very long talk and they loved [Quantic Dream's 2005 game] Fahrenheit, and they really wanted to do something with us," said Cage at a BAFTA event, in comments reported by Digital Spy. "They got scared by the fact that Heavy Rain was about kids being kidnapped, and they said, 'This is an issue, we want to change it.' Well, we could have kidnapped cats, it would be a different experience!"
Cage went on to say that the decision by Microsoft was a signal that the company didn't understand what Quantic Dream was trying to accomplish with Heavy Rain.
Cage adds that he still thinks Microsoft is a great company and that his thoughts on that past situation are not meant to criticize anyone there. At the end of the day the situation proved to Cage and company that Sony understands what they are trying to do when making games: create emotional and gripping stories.
Source: Digital Spy