Okay, so here's the deal... Location does squat for either contestant. As for knowing one another... they don't... save that Skin's name is Skin and Vidar's name is an asguardian's name (and eveyrone knows asguardians) so we get an idea of who each other are. Skin will know that he's out classed, and though he'll hate it, he'll have to bring some insurance. Vidar will see the little grey boy and will prepare for battle.
The day comes, and they arrive in a local town. They both instantly stick out, but I think Vidar would more than Skin. Yeah, Skin's grey, but Vidar looks like he wants to hurt someone. Skin would quickly find a cloak or smock or something to cover himself with as the crowd begins to panic over the strangers in their midsts, and he blends in. Vidar begins to hunt him. I won't draw it out, but basically, Skin will use similar tactics as when he went against X-Cutioner. He will hide and play games with Vidar. He will keep the asguardian running trying to find him (with several close calls), but he won't come near enough to land a blow. Skin, however, is a hood, so he knows a little about cheating. Things will happen such as Skin hotwiring a car and putting a rock on the pedal, and when Vidar turns a corner, a car's heading right for him. He'd probably dodge it, but little things like this is what keeps Skin alive. I don't know how intelligent Vidar is, but if he sees the car and simply breaks it with his sword or something, it could explode, and REALLY work in Skin's favor, but not knowing Vidar better, I won't say that that Will happen.
Anyhow, so Skin's on the run, thinking on his feet. Finally, one encounter comes where Vidar catches up to him and Skin has nowhere to go. He spots a fire hidreant and as Vidar chases him, Skin smiles and charges as well. This appears suicidal, but Skin sends a strand of skin to the hidrant and breaks it's seal. A blast of water catches Vidar's leg, throwing him off balance as the two clash, and Skin dips to the side as Vidar's balance is off and his sword swing is off, and Skin digs his knife as deep into Vidar's bicep as possible. It may not go too deep, but it does enough damage to wound Vidar's arm. Skin quickly continues to run as Vidar regains his footing. Eventually Skin gets in a car and hotwires it, and drives toward Vidar. Vidar sees him coming and dodges being run over, but clings to the hood. SKin then floors it right into a wall as he leaps out, sending Vidar through the wall.
Basically, little things like this are what keeps Skin alive and wears Vidar out, though his wrath gets greater. However, Skin won't be able to run forever, and there will come a time when he is caught. Skin has his 'insurance' still in mind, but is dodging it at all costs. However, once Vidar catches him, they will be in a struggle. Skin can see that he's greatly out matched and that his life is in danger, and so with much regrets he pulls his insurance. He pulls his old gun from his waist as Vidar takes him to the ground, and fires off a shot.
I don't know how Asguardian's do with bullets. If they can be harmed by them, then a bullet to the stomach should do the trick, or one to the chest or crotch. If bullets cannot pierce Asguardian skin, then Skin does what I'd imagine he'd do first anyhow, he'd put it right in Vidar's eye or mouth and fire.
Either way, the gunblast will be one puts Vidar Down, and leaves Skin have beaten and surprised as all get out that he's still alive.
Like I said, it's a stretch, but I think he's proven in the past that he's got enough street smarts to make it happen.