In full-page newspaper ads today, Burger King says it's calling for a truce with McDonald's so that they can create a mashup of their most famous burgers, the Big Mac and the Whopper.
Burger King says it wants to serve the concoction for a single day at a popup location in Atlanta, a midway point between the headquarters of the two chains.
Burger King is tying the publicity stunt to a nonprofit called Peace One Day, which says it promotes Peace Day.
It then designated September 21 as the annual "day of non-violence and cease-fire" in 2001.
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In a comment posted on its Facebook page, McDonald's CEO Steve Easterbrook said the proposal was inspiration for a good cause, then took a dig at the ploy by Burger King.
"Let's acknowledge that between us there is simply a friendly business competition and certainly not the unequaled circumstances of the real pain and suffering of war," Easterbrook said.
He added "PS A simple phone call will do next time." The proposed mashup of the Big Mac and Whopper would include elements of each, such as flame-broiled beef patty and a middle bun, according to a website Burger King set up.
"Proposals like McWhopper make noise," Burger King says in a video on the site.
Burger King said the ads asking McDonald's about the proposal were to run today in The New York Times and The Chicago Tribune, the latter of which is based near McDonald's headquarters in Oak Brook, Illinois.
Burger King, based in Miami, is owned by Restaurant Brands International, which also owns Tim Hortons.