Art
Art is a diverse range of human activities in creating visual, auditory or performing artifacts (artworks), expressing the author's imaginative or technical skill, intended to be appreciated for their beauty or emotional power. In their most general form these activities include the production of works of art, the criticism of art, the study of the history of art, and the aesthetic dissemination of art.
Game
A game is a structured form of play, usually undertaken for enjoyment and sometimes used as an educational tool. Games are distinct from work, which is usually carried out for remuneration, and from art, which is more often an expression of aesthetic or ideological elements. However, the distinction is not clear-cut, and many games are also considered to be work (such as professional players of spectator sports or games) or art (such as jigsaw puzzles or games involving an artistic layout such as Mahjong, solitaire, or some video games).
Graphics
Graphics (from Greek γραφικός graphikos, "belonging to drawing") are visual images or designs on some surface, such as a wall, canvas, screen, paper, or stone to inform, illustrate, or entertain. In contemporary usage it includes: a pictorial representation of data, as in computer-aided design and manufacture, in typesetting and the graphic arts, and in educational and recreational software. Images that are generated by a computer are called computer graphics.
Art
Usually the work of several generations is needed to develop that formal system which later is called the style of the art, from its simple beginning to the wealth of elaborate forms... The interest of the artist is concentrated on this crystallization, where the material... takes, through his action, the various forms that are initiated by the first formal concepts of this style. After completion the interest must fade again, because... "interest" means... to be with... to take part in a process of life... [H]ow far the formal rules of style represent that reality of life which is meant by the art cannot be decided from the formal rules.
Werner Heisenberg, Physics and Philosophy: The Revolution in Modern Science (1958)
Game
Consider Wittgenstein's paradigmatic question about defining "game." The problem is that there is no property common to all games, so that the most usual kinds of definition fail. Not every game has a ball, nor two competing teams; even, sometimes, there is no notion of "winning." In my view, the explanation is that a word like "game" points to a somewhat diffuse "system" of prototype frames, among which some frame-shifts are easy, but others involve more strain.
Marvin Minsky, in reference to Wittgenstein's Philosophical Investigations, in "Jokes and their Relation to the Cognitive Unconscious" (1980)
Game
Talent wins games, but teamwork and intelligence wins championships.
Michael Jordan, as quoted in The Victory Letters : Inspiration for the Human Race (2003), by Cheri Ruskus, Letter 32, p. 68.