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.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Iida, H., Takahara, K., Nagashima, J., Kajihara, Y., Hashimoto, T.: An application of game-refinement theory to mah jong. In: Rauterberg, M. (ed.) ICEC 2004. LNCS, vol. 3166, pp. 333–338. Springer, Heidelberg (2004)
Iida, H., Takeshita, N., Yoshimura, J.: A metric for entertainment of boardgames: Its implication for evolution of chess variants. In: Nakatsu, R., Hoshino, J. (eds.) Technologies and Applications. IFIP, vol. 112, pp. 65–72. Springer, US (2003)
NBA. Team statistics, http://stats.nba.com (accessed: October 30, 2013)
Neumann, J.: Zur theorie der gesellschaftsspiele. Mathematische Annalen 100(1), 295–320 (1928)
UEFA. Uefa 2012/2013 team statistics, http://www.uefa.com/uefachampionsleague/ (accessed: August 8, 2013)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2014 ICST Institute for Computer Science, Social Informatics and Telecommunications Engineering
About this paper
Cite this paper
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
Download citation
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
eBook Packages: Computer ScienceComputer Science (R0)