noun
behalf
bih-HAF/bɪˈhæf/
The interests of someone being represented or supported.
The adult speaks on behalf of an elderly companion at the service desk.

Etymology
The original image was being “by someone's side,” which became acting for that person's benefit or interest. Here half preserves its older meaning “side,” rather than an equal division.
In context
On behalf of all you I extend a very warm welcome to him
More examples
- Thank you for the effort you made on our behalf.
- The lawyer acts on her client's behalf.
- He accepts the award on behalf of the whole team.