Tarihsel olarak standart olan tanım bölgelerinde imkansızlık sonuçları geçerli olmayı sürdürür mü?

One of the major assumptions common to all impossibility results in socialchoice theory is that of ?full? or rich enough domain. Thus, a major streamof attempts has focused on how to restrict the domains of social choice functionsin order to escape impossibilities, without paying much attention to thequestion of whether there exist actual societies with such restricted domainsof preference profiles, however. The notion of an unrestricted domain is basedon the assumption that the individuals form their preferences independentof each other. If one replaces this assumption by one under which individualpreferences are clustered around a ?social norm? in a unipolar standard society,the question of how this kind of restricted domain restriction influencesthe existence of a Maskin monotonic, surjective and nondictatorial socialchoice function becomes important.We employ the so-called Manhattan metric to measure the degree of howclustered a society around a social norm is. We then try to characterize forwhat degrees of clustering around a social norm allows us to escape impossibilityresults, in an attempt to shed some light on the question of whetherimpossibilities in social choice theory arise assuming the existence of historicallyimpossible societies.