The "extremely satisfying payoff" in The Hunger Games isn't there because it's not supposed to be, since it's only the first book in the trilogy and sets up the tensions of the rest of the story.
Problem is: the movie structured in a way that doesn't tell you anything
about a trilogy.
So, if you don't know about that fact going in (like me), the ending just infuriates you to no end. ("Huh? That's it? This barbaric game is just going to continue? What the hell was the point then?")
The first part of the trilogy should feel
like a first part, not a one shot.