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

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.

A Mathematical Representation of "Excitement" in Games: A Contribution to the Theory of Game Systems

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 the concept from the viewpoint of an audience and from that of a player. 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. 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 in many fields, especially the area of welfare economics, and applications may range from those related to allocative efficiency to axioms of justice and equity.

The Effect of Product Classifications on the Formulation of Export Unit Value Indices: A Comparison of Export Unit Value Indices based on SITC and HS

With the globalization of economic activity, the relative weight of foreign trade in national economic activities has increased, and the question of how to measure trends in the value and quantity of international trade has become an important issue for policy-makers and economists. This paper compares the chain-linked indices formulated by Masato Kuroko, based on HS this fiscal year for individual industry categories and countries with chain-linked indices based on SITC-R1 codes, in order to study how changes in the quality composition of the same products, which cannot be considered using unit value indices based on SITC-R1 codes, can be considered using unit value indices based on the more detailed HS product classifications.