Abstract
This paper explores a mathematical model of game progress and game refinement. We claim that a realistic model of the game progress during the in-game period is not linear but exponential. The second derivative value, i.e., acceleration in the sense of dynamics, is derived from the model and we propose to use the value as a measure of game refinement. This is because acceleration of game progress should be related to the emotional impact in our minds, as thrill or engagement in games. We support the effectiveness of the proposed theory while showing some data from well-known games.
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© 2014 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
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Sutiono, A.P., Purwarianti, A., Iida, H. (2014). A Mathematical Model of Game Refinement. In: Reidsma, D., Choi, I., Bargar, R. (eds) Intelligent Technologies for Interactive Entertainment. INTETAIN 2014. Lecture Notes of the Institute for Computer Sciences, Social Informatics and Telecommunications Engineering, vol 136. Springer, Cham. https://doi.org/10.1007/978-3-319-08189-2_22
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DOI: https://doi.org/10.1007/978-3-319-08189-2_22
Publisher Name: Springer, Cham
Print ISBN: 978-3-319-08188-5
Online ISBN: 978-3-319-08189-2
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