Often used when someone helps another who can't manage by themselves due to absence, illness, or lack. She's acting on behalf of her sick mother, paying her bills.
Pro Tip 2/3
Social commitment
Conveys that the person has been entrusted to fulfill a role or duty for someone else. The ambassador is acting on behalf of his country.
Pro Tip 3/3
Authority transfer
Indicates that someone has given their authority or decision-making power to another person. As VP, I'm acting on behalf of the president today.