Yes, you can enable the reduced-price tickets for each event purchasable on your shop.
Scroll this page content to discover how to do it.
N.B. you don’t have the possibility to manage the reduced-price tickets quantity.
You need to create rules to increase the price automatically depending on the quantity still available.
You must create the rules in the product as explained here.
It is due to the fact the list shows the users who placed the order to purchase the tickets and not the complete list of names inserted through the ticket form available on the product page.