A person who can affect the mind of everyone is called predominating. As far as Kṛṣṇa's predomination is concerned, in the Tenth Canto, Forty-third Chapter, verse 17, of Śrīmad-Bhāgavatam, Kṛṣṇa is described thus by Śukadeva Gosvāmī to King Parīkṣit: "My dear King, Kṛṣṇa is a thunderbolt to the wrestlers; to the common man He is the most beautiful human being; to the young girls He is just like Cupid; to the cowherd men and women He is the most intimate relative; to the impious kings He is the supreme ruler; to His parents, Nanda and Yaśodā, He is just a baby; to Kaṁsa, the King of Bhoja, He is death personified; to the dull and stupid He is just like a stone; to the yogīs He is the Supreme Absolute Truth; and to the Vṛṣṇis He is the Supreme Personality of Godhead. In such a predominating position, Kṛṣṇa appeared in that arena along with His older brother, Balarāma." When Kṛṣṇa, the reservoir of all mellows, was present in the arena of Kaṁsa, He appeared differently to the different persons who were related to Him in different mellows. It is stated in Bhagavad-gītā that He appears to every person according to one's relationship with Him.
Sometimes learned scholars describe "predominating" to mean a person intolerant of being neglected. This peculiarity in Kṛṣṇa was visible when Kaṁsa was insulting Mahārāja Nanda. Vasudeva was asking Kṛṣṇa's assistance in killing Kaṁsa, and Kṛṣṇa was glancing over Kaṁsa with longing eyes, just like a prostitute, and was just preparing to jump at the King.