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Is there a paper or text somewhere where someone axiomatizes the concept of video or computer games and makes definitions and proves theorems? I would love to see such a text. It would be quite something.

user107952
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  • Dynamics of Pong world, perhaps? Asteroids? (I'm dating myself here...) – hardmath Oct 17 '14 at 03:51
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    It has been far too long. You must write it yourself. Carry on, my wayward son. – Will Jagy Oct 17 '14 at 04:15
  • Of games in general, or of a specific game? – Travis Willse Oct 17 '14 at 05:03
  • Of games in general. – user107952 Oct 17 '14 at 20:26
  • Computer games? Not to the best of my knowledge - what would the axioms be? But for games in general, there's both Nash-style 'optimizing' game theory ( http://en.wikipedia.org/wiki/Game_theory ) and Combinatorial Game Theory ( http://en.wikipedia.org/wiki/Combinatorial_game_theory ), which is used to study a number of pencil-and-paper games. (And naturally, there's a ton of mathematics in video games, particularly vector mathematics and differential equations for representation and simulation.) – Steven Stadnicki Oct 20 '14 at 15:30
  • I don't understand the question. "Games in general" aren't math, and I don't know of anything that has an axiomatic treatment except math. – NoName Oct 27 '14 at 02:54

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