Banerjee and Pattanaik (1996) proved a theorem that the maximal set with respect to a quasi-ordering can be fully recovered by defining the greatest sets with respect to each and every ordering extension thereof and taking their union. Donaldson and Weymark (1998) proved a theorem that a...

Two features of Arrow’s social choice theory are critically scrutinized. The first feature is the welfarist-consequentialism, which not only bases social judgements about right or wrong actions on the assessment of their consequences, but also assesses consequences in terms of people’s...