Eddie is the owner of the Bakersfield rodeo where Chip works as a clown early in the show. Eddie seems to have little regard for anyone but himself, and sees his clowns, particularly, as disposable. He tells Chip upon hiring him that anyone "fool enough to walk through them doors" and agree to be a clown at his rodeo (considering the danger and low pay) is automatically hired.
Since the turnover rate for his rodeo clowns is high, Chip soon becomes the senior clown there, and Eddie warms up somewhat to him eventually, and on at least one occasion even invited him to a bar for drinks. He also went on a road trip with Chip and Martha, though this may very well have been only because he needed them for a ride. Eddie is notably the first person who mistakenly referred to Martha as Chip's girlfriend, where Chip let it slide and did not bother to correct him.