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.

Ethnicity and Elections under Authoritarianism: The Case of Kazakhstan

Despite the ethnicisation of power since independence in 1991, Kazakhstan has managed to maintain political stability without experiencing large-scale mobilisation to oppose Kazakh domination. This paper examines government strategy to avoid ethnic voting in an attempt to explain why ethnic divisions were rarely reflected in the struggle for power in the republic. While the arbitrary use of legal provisions considerably limited participation in elections by ethnic leaders, powerful pro-president parties that exhibited a cross-ethnic character were created to curtail ethnically based movements. The control strategy in elections aimed not simply at ethnicising the parliament in favour of Kazakhs, but at having loyal Russians and other minorities represented in the legislature through nomination by the president and catch-all pro-regime parties, or through the presidential consultative body—Assembly of the People of Kazakhstan. This well-controlled representation of minorities served not only to placate non-Kazakhs but also to provide legitimacy for the Kazakh-dominated leadership by projecting the image of cross-ethnic support for the president and some degree of power-sharing.