Dynamic. At first Haymitch didn't really care about Katniss and Peeta he thought they were just going to die in the games. But later he starts caring for them and he begins to believing in them.
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A dynamic character shows multiple sides and changes which Katniss does multiple time throughout The Hunger Games. First, she is content with coasting through life, surviving on game from the Meadow. Then her whole world is thrown when Prim is selected as tribute. Her life mission is to survive. In the other novels, Katniss struggles with grieving over her father's death and what she feels for Peeta and Gale.
Katniss is brave, clever, compassionate, strong (mentally and physically), and loyal. There are way more but those are just a few. I thought you meant character traits but if you are talking about static and dynamic characters, I think Katniss is a dynamic character.
A dynamic character is someone who changed during the course of the story and is usually one or the only main characters. A static character does not change during the story and is usually one of the minor characters or perhaps the antagonist (villain).
dynamic- he changes thoughout the story
He is known as a static characterVindictive