<< Well, if you win and force your opponent to lose APs, then having bid a larger amount causes more loss for the opponent.
And yes, taking all this into account, if you know you're probably going to lose, you would want to make your bid low, going defensive, so as to minimise your losses. >>
Interesting... the more common tactic (and the one recommended in the book, FWIW) is to bid high if you think you're going to lose. The reasoning is that if you're likely to lose, then bidding low merely delays the inevitable, whereas if you bid high and get lucky, you could do some serious damage (or appropriate non-combat effect) to your opponent. If you're outclassed, you want to make the fight as short as possible, since you're more likely to get in two lucky shots in a 2-round combat than to get in ten lucky shots in a 10-round combat.
Of course, if holding on long might be to some benefit (such as your ally being able to loan you lots of APs in the near future but not just yet, or an escape route being about to present itself) then low bidding to prolong the fight *would* be in your advantage if you're outclassed.
Forward the glorious Red Army!
Trotsky
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