 As mentioned earlier, Liberatore and Schaerf were among the first to propose arbitration operators. However, their approach was limited to only two bases, and the result of the merge was one of the two bases. Such operator would give questionable results in some situations, like the one in (Konieczny and Pino Pérez 2002). Suppose that two financial experts give you advice regarding four shares a, b, c and d. According to the first expert, all four shares are going to rise (denoted by \(\varphi_1= \{(1, 1, 1, 1)\}\), whereas the second expert deems that all four shares will fall \((\varphi_{2}= \{(0, 0, 0, 0)\})\). According to Liberatore and Schaerf’s arbitration operator, the result will be \(\{(1, 1, 1, 1), (0, 0, 0, 0)\},\) which means that either the first or the second expert is totally right. If, on the other hand, we apply an arbitration operator à la Konieczny and Pino Pérez, we obtain \(\{(0, 0, 1, 1)\), \((0, 1, 0, 1)\), \((0, 1, 1, 0)\), \((1, 0, 0, 1)\), \((1, 0, 1, 0)\), \((1, 1, 0, 0)\}\). This result can be interpreted as that—if we assume that all sources are equally reliable—we do not have any reason to prefer one or another and, so a reasonable position is to conclude that both can be equally right. Still, Liberatore and Schaerf’s operator may be used in all situations where the result can be only one of the bases submitted by the individuals. For example, if two doctors meet in order to decide a patient’s therapy, they likely have to decide in favour of one of the two proposals as mixing therapies may not be a feasible nor a safe option.