What term describes a graphic representation of a person used in digital environments such as the Internet or video games?

The term that describes a graphic representation of a person used in digital environments is "Avatar." Avatars serve as personalized digital representations of users, allowing individuals to express themselves within virtual spaces like the Internet and video games. This representation can take various forms, such as a cartoon, a 3D model, or even an image chosen by the user.

This concept is distinct from other terms presented. An "Icon" typically refers to a symbol or graphic that represents an application, feature, or function within a software context rather than a user’s persona. A "Profile" generally refers to a collection of user information and details about an individual in a digital environment, rather than a visual depiction. Lastly, the term "Character" is more associated with fictional entities, often with developed personalities and storylines within video games and narratives, but does not always pertain to the user themselves like an avatar does. Therefore, "Avatar" is the most accurate choice for this question.