I do not think making the 10k limit public matters. If I had the flexibility, I would bite at 5k a ticket, or 2k a ticket, and there may be others who would bite sooner. It would be difficult to collude with a planeful of passengers. As their offers go up, there will eventually be a party who find the tradeoff worth their while.
Therein lies the interesting dynamics. Say you got a group to agree to let it get bid up until it was across some threshold someone could bite. You have possible cooperation for a better overall outcome vs. the individuals personal gain by cutting in ahead of the threshold. Often its best to work together, yet it almost never works out in reality. Fun thought experiments though.
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