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A Mathematical Representation of "Excitement" in Games from the Viewpoint of a Neutral Audience


  • Kumagai, Satoru


Researchers have long believed the concept of "excitement" in games to be subjective and difficult to measure. This paper presents the development of a mathematically computable index that measures this concept from the viewpoint of an audience. One of the key aspects of the index is the differential of the probability of "winning" before and after one specific "play" in a given game. If the probability of winning becomes very positive or negative by that play, then the audience will feel the game to be "exciting." The index makes a large contribution to the study of games and enables researchers to compare and analyze the "excitement" of various games. It may be applied to many fields especially the area of welfare economics, ranging from allocative efficiency to axioms of justice and equity.

Suggested Citation

  • Kumagai, Satoru, 2007. "A Mathematical Representation of "Excitement" in Games from the Viewpoint of a Neutral Audience," IDE Discussion Papers 121, Institute of Developing Economies, Japan External Trade Organization(JETRO).
  • Handle: RePEc:jet:dpaper:dpaper121

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    References listed on IDEAS

    1. Reardon, Thomas, 1997. "Using evidence of household income diversification to inform study of the rural nonfarm labor market in Africa," World Development, Elsevier, vol. 25(5), pages 735-747, May.
    2. Zeller, Manfred & Diagne, Aliou & Mataya, Charles, 1997. "Market access by smallholder farmers in Malawi," FCND discussion papers 35, International Food Policy Research Institute (IFPRI).
    3. Kydd, Jonathan & Christiansen, Robert, 1982. "Structural change in Malawi since independence: Consequences of a development strategy based on large-scale agriculture," World Development, Elsevier, vol. 10(5), pages 355-375, May.
    4. World Bank, 2006. "World Development Indicators 2006," World Bank Publications, The World Bank, number 8151.
    5. Hazarika, Gautam & Alwang, Jeffrey, 2003. "Access to credit, plot size and cost inefficiency among smallholder tobacco cultivators in Malawi," Agricultural Economics, Blackwell, vol. 29(1), pages 99-109, July.
    6. Barrett, Christopher B. & Bezuneh, Mesfin & Clay, Daniel C. & Reardon, Thomas, 2001. "Heterogeneous Contraints, Incentives, and Income Diversification Strategies in Rural Africa," Working Papers 179567, Cornell University, Department of Applied Economics and Management.
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    More about this item


    Game; Game system; Excitement; Mathematics; ゲーム; 数学;

    JEL classification:

    • C69 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Other
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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