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JGWeissman comments on Beauty quips, "I'd shut up and multiply!" - Less Wrong
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To make an end of the world bet, person A who believes the world is not about to end will give some money to person B who believes the world is about to end. If after an agreed upon time, it is observed that the world has not ended, person B then gives a larger amount of money to person A.
It is harder to recover probabilities from the bets of this form that people are willing to make, because interest rates are a confounding factor.
Bets with money assume fairly constant and universal utility/$ rate. But that can't be assumed in this case since money isn't worth nearly as much if the world is about to end.
So you'd have to adjust for that. And of course even if you can figure out a fair wager given this issue it won't be equivalent to the right degree of belief.
It isn't that hard, is it? We just find the interest rate on the amount B got to begin with, right?