We formalize a notion of conditionally decisive powers of which the exercise depends on social consent. Decisive powers … various families of rules represented by systems of powers. In particular, we show that a rule satisfies monotonicity …, or the so-called libertarian rights, are examples and much weaker forms of powers are covered by our notion. Main results …

monotonicity axiom and the other standard assumptions introduced by Arrow (1963): unrestricted domain, weak Pareto, independence of … monotonicity axiom which requires that the collective preference become more rational when the individual preferences become more …

neutrality, anonymity, and monotonicity imply majority rule when the agenda is a two-element set. …

out as premisses, and the Independence condition (formula-wise aggregation) holds for them, though perhaps not for others. …

for a social choice rule to satisfy all of (1) Pareto, (2) anonymity, (3) full domain, and (4) independence of some …

WARP); and adaptations of two classical collective choice requirements (Arrow's independence of irrelevant alternatives and …

WARP); and adaptations of two classical collective choice requirements (Arrow's independence of irrelevant alternatives and …