The author wishes to show that there is a political dimension to rational action—a dimension which can be expressed in terms of the power which its possessors exert on one another. This power constrains their decisions, and may he said to limit the rationality of their action, in the same way that lack of information and conflict of values hinder rational action. This dimension is absent from economic theories of rationality, especially from the theory of games. But political man cannot be treated in terms of existing notions of economic rationality, even when these are enlarged—that is to say, enfeebled—as in the work of Downs. The reason is that the power of one man over another is inherent in politics. This power must be integrated into our idea of political rationality. The solution can be found through Dahl's formula for the measurement of one man's power over another.
The author extends Dahl's formula to cover cases in which several persons exert power over each other. After identifying sixteen “rules of power” which define all possible positions in a game where each of two persons has two alternatives, he investigates various situations with the aid of these rules, showing that conventional game theory must be modified when some players compete with one another, or when they co-operate.
The ideas of power, and of rules of power, are said to be useful for a more rigorous political science, which could be divided into “macro-politics” and “micro-politics.” The concluding paragraphs of the paper contain definitions and explorations of these two terms.