Assume such a situation: Both players (Black and White) only have two pieces, that is a King and a Pawn. They have the liberty of placing them according to their wishes on the first row of their side of board (White on row 1, Black on row 8) and then the game starts. (Yes, pawn start from the same row as kings).
Which starting positions guarantee a win to one side? Which will be drawn?
My intention: I wonder if such a chess variant would make sense. Since players have the liberty of placing their king and pawn on any column they please, are there any positions that are clearly best? Or (as I'd hope for) would it reduce to rock-paper-scissors, that is regardless of which position a player starts with their chances to win/lose/draw the game depend on which position their opponent starts with? Or would all games be necessarily drawn, which would make such a variant pointless?
So I guess I need a method of determining if any given position is drawn or won, or rather - general rules that govern this problem, so that I could grasp all possible positions without having to enumerate them.