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.

The middle-income trap from the viewpoint of trade structures

In this study, we try to elucidate the middle-income trap from the viewpoint of international trade. We conduct regression analyses on the relationship between income level and net export ratios for different types of goods for trapped and non-trapped samples separately. Our findings indicate that industrial upgrading appears to occur exactly as depicted by the flying-geese model for non-trapped countries while trapped countries tend to depend on the export of primary commodities, and industrialization appears to be driven by forward linkages to processed goods and a narrow base. The results of our analyses suggest that the middle-income trap is a form of Dutch disease or a 'resource curse' in the middle-income stage.