ct 15(5): e1

Research Article

A Mathematical Model of Game Refinement and Its Applications to Sports Games

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  • @ARTICLE{10.4108/eai.20-10-2015.150095,
        author={Arie Pratama Sutiono and Rido Ramadan and Peetikorn Jarukasetporn and Junki Takeuchi and Ayu Purwarianti and Hiroyuki Iida},
        title={A Mathematical Model of Game Refinement and Its Applications to Sports Games},
        journal={EAI Endorsed Transactions on Creative Technologies},
        volume={2},
        number={5},
        publisher={EAI},
        journal_a={CT},
        year={2015},
        month={10},
        keywords={game refinement theory, engagement assessment, sports games, board games, video games},
        doi={10.4108/eai.20-10-2015.150095}
    }
    
  • Arie Pratama Sutiono
    Rido Ramadan
    Peetikorn Jarukasetporn
    Junki Takeuchi
    Ayu Purwarianti
    Hiroyuki Iida
    Year: 2015
    A Mathematical Model of Game Refinement and Its Applications to Sports Games
    CT
    EAI
    DOI: 10.4108/eai.20-10-2015.150095
Arie Pratama Sutiono1,*, Rido Ramadan1, Peetikorn Jarukasetporn2, Junki Takeuchi3, Ayu Purwarianti1, Hiroyuki Iida3
  • 1: Bandung Institute of Technology, Bandung, Indonesia
  • 2: Chulalongkorn University, Bangkok, Thailand
  • 3: Japan Advanced Insitute of Science and Technology, Ishikawa, Japan
*Contact email: arie.pratama.s@gmail.com

Abstract

This paper explores a mathematical model of game progress. 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. T his i s b ecause a cceleration o f g ame p rogress s hould b e r elated t o t he e motional impact i n our minds, as thrill or engagement in games. We also evaluate well known games using our theory like sport games, that would further be classified by the rule to finish the game. It is expected that the game refinement theory will be widely used as a tool to assess the quality of various types of games as a new game theory.