This paper deals with the contest of the “vital functions” for superiority in the Bṛhadāraṇyaka Upaniṣad and the Chāndogya Upaniṣad, in the Aitareya Āraṇyaka and others. The paper concentrates on two particular approaches to deciding the superiority question, namely (i) singly leaving or entering (breath, sight, etc. leave one after another or enter one after another), and (ii) alternating withdrawal (breath leaves and returns, sight leaves and returns). The paper defends two claims. First, it can be shown that the commentators were aware of the generalizable nature of these two approaches. Second, these two approaches are closely related to the so-called Shapley value developed in cooperative game theory.