1. Given the choice between just using Orbitz and not seeing AA flights at all, and using two sites instead of one, customers will choose to use two sites instead of one.
and then, after they've got used to that,
2. Given the choice between just using Orbitz+AA and not seeing (say) US Airways flights at all, and using three sites instead of two, customers will choose to use three sites instead of two.
and so on, until eventually
N. Orbitz goes out of business because it's no longer getting enough use.
and/or
N'. Customers give up doing comprehensive price comparisons.
at which point
N+1. All the airlines (including AA) get to increase their prices.
"Orbitz was the airline industry's response to the rise of online travel agencies such as Expedia and Travelocity, as well as a solution to the continued increase in Global Distribution System (GDS) fees. Continental Airlines, Delta Air Lines, Northwest Airlines, and United Airlines, subsequently joined by American Airlines, invested a combined $145 million to start the project in November 1999. It was code-named T2 — some claimed, meaning "Travelocity Terminator" – but adopted the brand name Orbitz when it commenced corporate operations as DUNC, LLC (the initials of its first four founding airlines) in February 2000.[4] The company began Beta testing early the next year, and Orbitz.com officially launched in June 2001"