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# gj95gjw405g09w54j

g4w5g4w5gj0w459014f34
by

## Arie Sutiono

on 17 December 2013

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#### Transcript of gj95gjw405g09w54j

A Mathematical Theory of Game Refinement
Game Refinement Theory
A Metric for Entertainment
or
how to measure other games ?
- Branching factor is hard to calculate in sports
- Depth of a game: time? or other discretized variable?
Boardgames
Revisit Game Information Outcome Equation
Derive Equation based on Game Progress
Zoomed...
Game Progress Formalized by:
assume constant "c" is neglectable...
power the depth of the game with "n"..
Game Information Outcome Equation is Formed..
Approaches to Sports
Simple
Physics
Goal and Shoot are chosen because they describe the game progress...
Soccer

0.07493
0.2091
Pressure Theory...
Soccer
0.0823
0.0703
H: Speed of Game (goal/shoot)
S: Number of shots
m: mass of the game (?)
using UEFA data...
Hypothesis Test
Both Basketball and Soccer are well refined games
H0: mean >= 0.07 and mean <= 0.08
H1: mean < 0.07 or mean > 0.08
Result: soccer is more refined than basketball, because basketball reject the hypothesis
SPORTS
BOARD GAMES
PUZZLES
VIDEO GAMES
MANY MORE GAMES....
-Physics approach still questionable
-Some variables still neglected
But our purpose is not only games....
References:

[1] Cameron Browne. Elegance in game design. IEEE Transactions on Computational Intelligence and AI in Games, 2012.
[2] Cameron Browne and Frederic Maire. Evolutionary game design. IEEE
Transactions on Computational Intelligence and AI in Games, 2010.
[3] Norizan Mat Diah, Nathan Nossal, Nor Azan Mat Zin, Tadaki Higuchi, and
Hiroyuki Iida. A game informatical comparison of chess and association
football ("soccer"). submitted, 2013.
[4] FIFA. Big count. url: http://www.fa.com/worldfootball/bigcount/. Accessed: 6-12-2013.
[5] D. Halliday, R. Resnick, and J. Walker. Fundamental of Physics Ninth
Edition. 2010.
[6] H. Iida, H. Takahara, J. Nagashima, Y. Kajihara, and Y. Hashimoto. An
application of game-renement theory to mah jong. In International Conference on Entertainment Computing (ICEC), pages 333{338, 2004.
[7] Hiroyuki Iida, Nobua Takeshita, and Jin Yoshimura. A metric for entertainment of boardgames: Its implication for evolution of chess variants. Entertainment Computing Technologies and Applications, pages 65{72, 2003.
[8] Pier Luca Lanzi, Daniele Loiacono, and Emanuele Parini. Tuning mobile
game design using data mining. Games Innovation Conference (IGIC),
2013.
[9] Antonios Liapis, Gregorius N Yannakakis, and Julian Togelius. Towards a
generic method of evaluating game levels. AIIDE 2013, 2013.
[10] Prem S. Mann. Introductory Statistics. John Wiley & Sons Australia,
Limited, 1992.
[11] NBA. Nba 2012/13 team statistics. url: http://stats.nba.com. Accessed:
30-10-2013.
12
[12] J. Neumann. Zur theorie der gesellschaftsspiele. Mathematische Annalen,
100(1):295{320, 1928.
[13] Chris Perdesen, Julian Togelius, and Georgius Yannakakis. Optimization
of platform game levels for player experience. AIIDE 2009, 2009.
[14] Chris Perdesen, Julian Togelius, and Georgius Yannakakis. Modeling player
experience for content creation. IEEE Transaction On Computational Intelligence and AI Games 2010, 2010.
[15] UEFA. Uefa 2012/13 team statistics. url:
http://www.uefa.com/uefachampionsleague/season=2013/statistics.
Accessed: 8-11-2013.
THANK YOU....
Full transcript