Pursues, as game, can be summarized as the act of stalking, which is a term used to describe the act of following someone or something in order to observe them. It is commonly used in hunting and other outdoor activities, but can also be used in a more figurative sense, such as when someone is trying to track down a person or object. The crossword solution for this term is 'STALKS', which is an appropriate word to describe the act of pursuing something.