I believe the correct answer is: a token economy.
A token economy represents a form of behavior modification which is designed to increase desirable behavior and decrease undesirable behavior with the use of tokens. When individuals display desirable behavior, they receive tokens. The collected tokens may later be exchanged for a meaningful object or privilege.
Since Jamie is living in a home for mentally disabled, medical personnel is awarding his desired, good behavior (getting dressed, maintaining personal hygiene, and engaging in appropriate social interactions) with tokens.