Abstract
We consider domain restrictions that allow for Maskin monotone Pareto optimal and anonymous choice rules. The set of precisely one agent is restricted as minimal as possible yielding in this way a maximal domains allowing for such functions. In view of the impossibility results like Gibbard Satterthwaite, these maximal domains somehow bring about minimal requirements needed to avoid these impossibilities. It appears that the restrictions needed are relatively demanding: the restricted domain is such that there is an alternative x that is ordered either best or second best. This domain now only allows for the imputation rule with status quo x.
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