Design
Design is the creation of a plan or convention for the construction of an object, system or measurable human interaction (as in architectural blueprints, engineering drawings, business processes, circuit diagrams, and sewing patterns). Design has different connotations in different fields (see design disciplines below). In some cases, the direct construction of an object (as in pottery, engineering, management, coding, and graphic design) is also considered to use design thinking.
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).
Game Design
Game design is the art of applying design and aesthetics to create a game for entertainment or for educational, exercise, or experimental purposes. Increasingly, elements and principles of game design are also applied to other interactions, particularly virtual ones (see gamification).
Design
If you want a golden rule that will fit everybody, this is it: Have nothing in your houses that you do not know to be useful, or believe to be beautiful.
William Morris (1880) "The Beauty of Life," a lecture before the Birmingham Society of Arts and School of Design (19 February 1880), later published in Hopes and Fears for Art: Five Lectures Delivered in Birmingham, London, and Nottingham, 1878 - 1881 (1882).
Game
Baseball, it is said, is only a game. True. And the Grand Canyon is only a hole in Arizona. Not all holes, or games, are created equal.
George Will, in Men at Work : The Craft of Baseball (1990), p. 294.
Game
The practices that led to the formation of the spontaneous order have much in common with rules observed in playing a game. To attempt to trace the origin of competition in play would lead us too far astray, but we can learn much from the masterly and revealing analysis of the role of play in the evolution of culture by the historian Johan Huizinga, whose work has been insufficiently appreciated by students of human order.
Friedrich Hayek, The Fatal Conceit (1988), Appendix E: Play, The School of Rules