A game designer is someone who designs games. The term "game designer" usually refers to someone who designs computer or video games, but can also be a person who designs older games like a board game.
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Charles Darrow's 1935 patent for Monopoly includes specific design elements developed during the prototype phase. Prototypes are very common in the later stages of board game design, and "prototype circles" in many cities today provide an opportunity for designers to play and critique each other's games.
H. G. Wells playing Little Wars
Game designer Facts for Kids. Kiddle Encyclopedia.