[chrisoverzero]

"I made my max bid $500.00, but I'd have paid $500.01!"

"I made my max bid $500.01, but I'd have paid $500.02!"

"I made my max bid $500.02, but I'd have paid $500.03!"

…where does this process end?

[pessimizer]

The way you've put it, always exactly 1¢ above your max bid.

[mort96]

I can't give you a precise number, but it's somewhere above $0 and below $∞