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Foundations of Game Design, by Ernest Adams
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Rules of Play: Game Design Fundamentals, by Katie Salen and Eric Zimmerman
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A Game Design Vocabulary, by Anna Anthropy and Naomi Clark
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Game Design Workshop: A Playcentric Approach to Creating Innovative Games, by Tracy Fullerton
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The Art of Game Design: A Book of Lenses, by Jesse Schell
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A Theory of Fun for Game Design, by Raph Koster
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How to do Things with Videogames, by Ian Bogost
The Mechanics, Dynamics and Aesthetics (MDA) and the Design, Play and Experience (DPE) models come from extensive design research practice.
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Winn, B. (2009). The Design, Play, and Experience Framework. Handbook of Research on Effective Electronic Gaming in Education. Richard Ferdig (editor). Volume 3, Chapter 58.
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Hunicke, R., LeBlanc, M., & Zubek, R. (2004). MDA: A Formal Approach to Game Design and Game Research
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Why Your Game Idea Sucks, by Erin Hoffman
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O’Donnell, C. (2014). On Balinese Cockfights: Deeply Extending Play. Games and Culture, 9(6), 406-416.
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Meadows, D. H. (2008). Thinking in Systems: A Primer. Chelsea Green Publishing.