This paper begins with a review of 'Gibbard's paradox' for rights and Gibbard's proposal for avoiding the paradox. This is followed by a theorem that identifies the pairs where rights are directly relevant (at some profile) when Gibbard's proposal is adopted. As the next step, the paper reviews 'Sen's paradox' and the 'private Pareto principle'-which has recently been proposed by Hammond as a replacement for the traditional Pareto principle, with the argument that this will make rights and Paretian comparisons compatible. The remainder of the paper is devoted to an analysis of the nature of the social pairwise comparisons that the private Pareto principle recommends for the pairs of alternatives where rights are directly relevant (at some profile). This analysis reveals that, on these pairs, the private Pareto principle makes two important concessions to rights.