How To Give Donated Tickets
Sometimes referred to as "Teacher Tickets", it is common to see donations made with the intent of providing a ticket, or tickets, for an "unknown" person by a generous donor and/or sponsor.
Create a Donation Item
A simple "Title", for example Teacher Ticket would work; assign the "Type" to Donation; and, leave the "Starting Bid" set as blank. This will allow donors to enter an arbitrary amount when they "purchase" the item (or in other words, make a donation).
Make certain to configure the item to be displayed during registration via its Item Details page.
The donor could see something like the following when visiting your auction website to buy tickets: