Abstract
Intention, right and power are so basic conceptual trio of the modern society, that we cannot investigate them separately. They can be treated together only under the conceptual scheme named social decision function. A social state is uniquely assigned as a function of a pair of opportunity set and preferences tuple. Social decision function is intrinsically equivalent to institution in their performances. Power has been understood as possibility of realization of intention in the society. It can be described with the comparison between the input of the function and the output of it. For instance when the individual actor always realize his intention as social decision whatever intentions others have, he has power. We propose the series of conceptualizations that are gradually strengthening possibility of social decision, restricted power, qualified power and right. Especially right is power which can reject all others' intentions from the social decision. Power is a portion of institution, and it is a property of social decision function. Some social decision function may be partly decomposable into the individualistically separated choice, where it seems like there exists power relation. The distribution of power is independent from allocation of individual preferences, because it is a portion of parameters of social decision function. Or, we might run a risk of category-mistake. Power embedded in social decision function has to satisfy some conditions for it belongs to the function consistently. For instance, Sen's Liberal Paradox and the enlargement of right dependent on the possibility of strategic manipulations.
