Continuous-valued social choice
研究了满足连续性、不可行替代独立性及Arrow选择公理的社会选择对应，证明在有限或可数无限社会中，该对应只能是常数、独裁或反独裁的。
Let ngt; be any social choice correspondence satisfying a mild continuity condition in addition to independence of unfeasible alternatives (which requires the correspondence to select the same set of alternatives in two situations if the feasible sets are identical in the two situations and, for each individual, the restriction of the preference ordering to the feasible set is the same) and Arrow's choice axiom (which generalizes transitivity). If the society is finite or countably infinite, then ngt; is constant, or dictatorial, or inversely dictatorial, even if the agenda domain is restricted. (The outcome space is normal, connected, and first-countable.).