If you ask the writer of the Hunger Games books if there is going to be more source material for the films to draw on the answer is a resounding, No. The books are over according to Suzanne Collins. And her reasoning is solid if you've read the ending to Mockingjay (soon to become Hunger Games 4). But is that the final answer as to whether or not the movies could continue to produce more stories from Panem?
If you ask the director of these last few Hunger Games films, Francis Lawrence, the answer is much more hopeful:
"It’s a tricky thing, but I’m definitely open to talking about it, and I think everybody’s thinking about it. Everybody loves the world and the ideas. I just think that one has to go into that world carefully. Because I think a huge part of what makes the stories great is that it was really built on this idea of the consequence of war, and you have an amazing character like Katniss at the center of it."
While we have yet to see how the movies will end up adapting the ending to Mockingjay, and how closely it follows the book, chances are that a continuation of the series would involve creating some new characters and establishing someone else's story. Hunger Games 4: Mockingjay Part 2 definitely seems to be the final chapter for Katniss' story - but that doesn't mean it isn't time for another Panem resident to step forward.
"And so to just say, ‘Oh, we’re still in the Hunger Games world’ I think is really risky, and you need to make sure that you have something new to say, and either new characters need to be created that are just as compelling as Katniss."
It's always difficult for companies and film studios, not to mention the fans, to say goodbye to a good property - especially one as detailed and rich as the world of the Hunger Games. Since the Lionsgate production company owns the rights, they can basically do whatever they want with the characters and world of Panem.
Lionsgate has already shown that they aren't afraid to do some creative expansion with their other huge franchise, Twilight. They're doing this in the form of Facebook movies. Yeah, you read that right, Facebook movies. Mini movies, or episodes that will continue exploring the characters of the Twilight universe will debut on social media.
Since it is considered a touch more prestigious than Twilight, perhaps Lionsgate will decide to create a Hunger Games series for Youtube or, better yet, Netflix. I can hear those old-timey cash register rings going off as I write this.
If, post [The Hunger Games: Mockingjay - Part 2](movie:449866), they can find a way to have Woody Harrelson's loveable Haymitch to keep popping up, I'd make sure my Netflix subscription stays active.