The incident occurred at Mineta San Jose International Airport in San Jose, California.
However the airline did not elaborate further and admitted the game was inappropriate, especially in view of passengers.
"This game should not have been played at the airport"' Alaska Airlines said in a statement Wednesday night.
"The optics of this video are unfortunate and we apologize for any confusion this has caused San Jose travelers or Southwest Airlines."
Chase Platon was flying out of San Jose and shot the video before boarding a Southwest jet to the Midwest.
He was angered by what he saw and posted it to the Southwest Airlines Facebook page.
"I would be pretty mad, obviously I was a little concerned because I had just checked in my bag just earlier so I was a little peeved," Platon told KPIX 5.
Southwest later confirmed their employees were not involved.
The carrier and Alaska Airlines share a terminal at the airport.
- Daily Mail