 A related problem concerns the assumption made in the version of the DBA presented in section 1.2 that agents will accept, or at least find acceptable, those ‘fair bets’ on or against \(P\) where their degree of belief matches the betting quotient for the bet. As discussed in the next section, it is not true that all such bets will be accepted, or even be regarded as acceptable, and additional bets may be accepted (or found acceptable). For various reasons someone might accept bets in cases where her credences do not correspond to the betting quotients of those bets, including where the bets constitute a Dutch Book. Thus, we need to be concerned more generally with the array of bets that agents will accept (or find acceptable). But since this widens the class of bets that can be used to produce a book, if anything it makes the problem for the DBA that a coherent agent may be subject to a Dutch Book even worse. The version of the DBA in section 1.2 could be modified with the claim that agents accept (or find acceptable) only bets that are fair or favorable, that is those with a non-negative expected value as calculated using their degrees of belief. This rules out some additional bets that would produce a Dutch Book for a coherent agent, but not those that enter into the DBAs for other norms. However, this assumption does not hold generally, and fails to address other issues confronting the argument.