What would prove the identitiy of the rightful king of Mycenae in the generation after pelops?

In the generation following Pelops, the rightful king of Mycenae could be identified through a combination of lineage and divine signs. Typically, the claim to the throne would be validated through descent from Pelops, particularly through his sons like Atreus or Thyestes. Additionally, oracles or prophecies from the gods could serve as confirmation of the legitimate ruler's right to the throne. Ultimately, successful military and political leadership would also play a crucial role in establishing a king's legitimacy.