American Airlines is testing the idea of letting customers bid for upgrades to first class. Passengers can submit a bid — along with a credit card number — up to six days before the flight.
Southwest Airlines Co. has announced discounts of up to 40 percent on some fares through mid-February.
American Airlines and Southwest Airlines say that customers encountered problems booking flights on Tuesday because of a glitch in their reservations systems.
Southwest Airlines says it has begun filing refunds to customers who were accidentally billed multiple times for a single flight, after a half-price online ticket promotion backfired.