General:
* Submit: This is a neutral word that simply means to yield to someone's authority.
* Surrender: This implies giving up resistance and accepting someone's control.
* Yield: Similar to submit, but can also suggest giving way to someone's demands.
* Comply: This implies following someone's orders or rules.
With a sense of obedience:
* Obey: This implies following someone's commands without question.
* Serve: This suggests willingly carrying out someone's wishes.
* Allegiance: This implies loyalty and commitment to a ruler or leader.
With a sense of deference:
* Bow: This suggests humility and respect for someone's power.
* Kneel: This is a strong gesture of submission and respect.
* Pay homage: This implies acknowledging someone's authority and power.
With a sense of being forced:
* Subjugate: This implies being brought under someone's control by force.
* Conquer: This implies being defeated and brought under someone's rule.
* Enslave: This suggests being forced into servitude.
More specific:
* Swear fealty: This means to pledge loyalty to a ruler.
* Become a vassal: This refers to becoming a subordinate ruler under another's authority.
The best word to use will depend on the specific situation and the relationship between the two individuals involved.