Check for loose wires along the hot breaker buss in the chassis electric bay (forward of street side front tire). Then check the ground busses. I'm not seeing a breaker that lists the lighter outlet - on a car it's usually with other devices on a circuit, but I can't tell from diagrams or legend where the lighter taps its power from.
That said, I would expect then to find an in-line fuse somewhere along the center lead's run. You may have to follow it through some bundles before coming across the fuse holder. If the wire is white and labeled, that will help a little. Opening any velcroed down top dash access panel may "shed some light"; if you're lucky, the wire and fuse holder may run up near it.
But first things first, I'd remove the outlet or gain access through a floor drawer or something, turn the ignition to ON or RUN, and check the center lead on the lighter for voltage. Then note if the other wire has good continuity to chassis ground. Many device plugs I've encountered are pretty iffy as to their ability to make solid contact within cigarette lighter outlets; knowing for certain that there isn't power at the outlet will rule out a bad device plug, as will trying another device.
I could be mistaken, but I wouldn't think a simple lighter would be off a relay, and none of mine list a lighter on their circuit.
Joel