Airlines are unlikely to lower prices. In the US the authorization for the FAA has expired, and the air traffic controllers are running on a special exemption. As part of the FAA technically no longer existing, the taxes added to airline tickets also are no longer in effect.
Sounds like a great chance to buy a flight... NOPE, the airlines raised the ticket prices to account for the lower taxes. So the elimination of the FAA is a huge boom for the airline industry. Out of pocket cost to the individual has not changed.
It is expected that eventually (likely in September) the FAA will be re-authorized by Congress and everything will return to normal. Until then the airlines are making a killing.