performed, exercised, received, or suffered in place of another

vicarious punishment.

taking the place of another person or thing; acting or serving as a substitute.

felt or enjoyed through imagined participation in the experience of others

a vicarious thrill.

Physiology . noting or pertaining to a situation in which one organ performs part of the functions normally performed by another.

adjective

by proxy , commissioned , delegated , deputed , empathetic , eventual , imagined , indirect , pretended , secondary , substituted , substitutional , surrogate , sympathetic