Final answer:
Aegisthus's actions in 'The Libation Bearers' are motivated by personal vengeance and a desire to maintain power, reflecting Aeschylus's themes of the destructive cycle of violence and the need for divine justice.
Step-by-step explanation:
The motivations for Aegisthus's actions in The Libation Bearers can be understood through the broader lens of Greek playwrights' exploration of justice, divine will, and human nature. Aeschylus, the playwright of The Libation Bearers, often thematically focused on the cycle of violence and the need for reason and divine justice to intervene.
Aegisthus, in pursuing vengeance and power, becomes an embodiment of the destructive cycle of violence that Aeschylus warns against. His actions are motivated by both personal revenge against Agamemnon, who he saw as an enemy to his own lineage, and by his desire to maintain control over the throne of Argos alongside Clytemnestra.