定义域有约束的非寡头独裁不可能性定理

研究了定义域有约束的选择函数形式的Ｓｅｎ－Ｇｉｂｂａｒｄ不可能性定理．通过对现有不可能性定理中完备定义域条件的修改,给出了一种有约束的定义域,并导出了该条件下的Ｓｅｎ－Ｇｉｂｂａｒｄ非寡头独裁不可能性定理,所得结论表明定义域的完备性并不是产生不可能性结论的根本原因．

Non-Oligarchy Impossibility Theorem with Domain Restriction

Sen-Gibbard impossibility theorem with domain restriction in form of social choice function is investigated. By revising the universal domain condition in known impossibility theorem, a kind of domain restriction is given. An impossibility theorem, which is similar to Sen-Gibbard non-oligarchy impossibility theorem and satisfies the restriction, is induced. The results show that the universal do- main is not che only reason for the existing impossibility.