This is the keynote I gave at the 2023 Annual Meeting of the Society for the Neuroscience of Creativity Title: Computational Game Design: A Frontier and Roadmap for AI-powered Artifactual Science Abstract: In this talk, I present a vision to systematize research into one form of creativity: game design. This vision, made operational through artificial intelligence, is concerned with the design, computer-implementation, and use of mathematical models that establish invariant properties of game design—those that relate the structures of virtual worlds, how these are communicated to people, and what mental effects manifest in them as a result. Through several examples drawn from my own research and a roadmap to continue this kind of work into the future, I aim to convince the audience that the value of asking the question “can a machine design?” is that it begs the corollary question “how do people design?”