That isnt an issue. If 1st pick has no advantage over 2nd pick and vice versa. Why would anyone care which pick they get? They would both offer 0 armies. Whoever bid 0 1st would get 1st pick. The other player wouldnt care because 2nd is just as good. If it wasnt they would have bid 1 army/100 turns, and got their choice of pick with that near worthless bid.
Regardless if the pick is significant or completely insignificant the players will enter turn 1 with no noticeable advantage, so long as they bid correctly.
one more question:-
how will this work in more than 2 player games?
getting way ahead but FFA's could just be a loss of armies. You bid 1 army/8 turns for 1st pick, you win 1st pick, you lose 1 army off your base every 8 turns. Remaing bid for 2nd pick and so on. Regardless the game this auction format can be fit to to work with the game, including team games. Risk had auction distribution.
Edited 4/9/2015 11:34:52