Every site should have a comprehensive search available on most every page including possibly making it the main feature of the homepage. Once a visitor is has selected an event for which to view tickets and throughout the purchase process it probably makes sense to not show the search and instead use that space for useful elements.
It is suggested that this main search performs a search across Performers, Venues, and Events.
Comprehensive Search can be done via two different endpoints and you should experiment with both and decide which you prefer based on the experience you choose to present to the user.
/searches/suggestion endpoint was created to be used in an auto-suggest type of selector.