The price of minting will increase a little slower than the growth of the pot, but it will never reach a value greater than about 450x. It would approach it asymptotically.
It would be interesting if several participants battle with each other for a while. Then, when they are worn out, tired and out of funds, a new participant claims the pot with a single mint at the end :)
What's a Qbid auction? Haven't heard of it before.