 The Dutch Book argument has often been presented as establishing that degrees of belief that violate the axioms are irrational because they can (or do) lead to bad consequences. It assumes that an agent’s degrees of belief are associated with her betting quotients such that (1) for an agent with degree of belief \(q\) in \(M\) a bet on or against \(M\) at corresponding odds will be acceptable. With payoffs in dollars and stake \(S\), this amounts to the claim that the agent should be willing to take either direction of a bet with a cost of $\(Sq\) that pays