Roommate in houseshare wants to end lease early.

[Mattie Covatch]

I own a house, and have a roommate.

The roommate was supposed to move in November 1, but still hasn't moved in.

The roommate already paid rent and deposit.

Roommate just told me they won't be moving in after all, and want to break their lease. Their lease was only through February.

Do I allow them to break the few month lease?

Do I make them pay rent until I find a replacement?

Is there really any good in trying to hold them to the lease as a private owner?

What would you do in this setting?