tbh i always stick in .. i take a look at his squad, if the other bidder have too many scouts .. it mean he has spend his own money and have good reserve of token (lesson learned after losing 15 token ..GRRRRR)
but in general, i stick in and keep bidding, not bcz of pride but bcz you already spend enough so will be foolish to leave, i relay on my mind games to kill the bidding process by changing my tactics suddenly ... then BAM i win the deal in next 1-2 rounds at points when people often give up