给出了关于社会福利函数防止策略性操纵的概念,并且证明了如果备选对象至少有3个且F是满的,则下面结论是相互等价的:①F是完全独裁的;②F是防止非理性操纵的;③F是完全正向响应的;④F是防止策略操纵的。
In this paper, we introduce the concepts of strategy-proofness for social welfare functions. Then we prove that for any social welfare function F, whose range contains more than two alternatives, if F is full the following statements are equivalent. ① F is completely dictatorial; ② F is irrational strategyproof; ③ F is completely responsive; ④ F is strategy-proof.