This article resolves the relationships between the system of classificatory schemes and social class, using data from a random sample survey of men and women in Japan. I find the class differential in prestige ratings of various cultural activities to be explicable in terms of class habitus and developed a social analysis of taste by P. Bourdieu. The capacity to discern values of various cultural activities, which is the sense of distinction or one kind of cultural capital, is linked to the socio-economic status and cultural consumption. Class differences in the capacity to discern cultures are from the different positional perceptions in social world and from the different advantageous attributions. Furthermore, the effect of intergenerational social mobility on the capacity ids different between men and women. Men's perspective on cultures tend to change and acculturate by their mobility, but women maintain the scheme of their origins.

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     This study analyzes the mathematical structure of the Fararo-kosaka model (1991) and attempts to explain the dynamic mechanisms concerning image of stratification. Kosaka & Fararo (1991) and Shirakura & Yosano (1992) try to grasp the structure of how the image of stratification is distributed, using combination theory or models of wave composition. In this article, the F-K model is formalized using probability theory, and the structure is explained as a problem of convolution. Using central limit theory, this analysis proves that the distribution of image of stratification approximates normal distribution in a large number of class dimensions. From this finding, two axioms are postulated. First, the image of stratification is distributed symmetrically and opens downwards generally. Second, under general conditions, the distribution curve concentrates as dimensions increase. From these axioms, a paradoxical mechanism that homogenizes class identification can be inferred. The second of these axioms the dynamics of Japanese identification in the middle class for the last four decades.

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     The model of the supply of public goods is formulated by which the expectation of the other cooperation is considered. I analyze the model a game theoretically and the following conclusion was obtained. (1) In the group with a low others cooperation expectation, the fewer the number of necessary cooperation persons is, the more the group can supply public goods. Moreover, in the group with a high cooperation expectation, more the number of persons is ,the more the group can supply public goods. (2) In a large-scale group, the group is not likely to supply public goods.

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     We evaluate the parties' power distribution in the House of Councilors in Japan using the nonsymmetric Shapley-Owen index. This index is a generalization of the Shapley-Shubik power index, taking account of the parties' ideological differences. Parties' ideological positions are determined with the quantification method III based on their votes during 1989-1992. Using the quantification method III enable us to apply this nonsymmetric index following Owen's original idea of nonsymmetry.

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