At one point he had about 2.5 million miles in his frequent-flier accounts, he said.
The consequences might not be so bad for consumers, except for those travelers with tickets or frequent-flier accounts on the airlines that fail.
Passengers flying one airline in the alliance can designate the miles flown to the frequent-flier account of another airline.
The first step: track down my frequent-flier account.
"The only bad news is for those of you with frequent-flier accounts," the President told a breakfast of business leaders.
According to Northwest, Ms. Zimmel had two frequent-flier accounts.
The airlines have made their sites one-stop sources not only for buying tickets, but also for checking in for flights and and managing frequent-flier accounts.
"Ellen had a frequent-flier account at United."
That increased the number of points American Express would transfer to her frequent-flier accounts.
Mr. Alexander does not maintain a frequent-flier account at any airline, a spokesman said today.