Duck President first appeared in "You're Getting Old" and was believed to be an imaginary
animal. However, in "Ass Burgers" Duck President is shown to be real.
Lame Duck is usually a term used in politics for a politician that has not kept the promises made to the voting public and would most likely be replaced with another viable candidate in the next election. This is most likely in reference to President Obama and therefore Duck President is very likely symbolism for Obama.