基于理由的偏好防策略投票方案

The Strategy-Proof Voting Scheme of Reason-Based Preference

所谓的社会选择理论就是将社会中众多的个体偏好聚合为社会偏好,并在此基础上做出充分体现每一社会成员的真实偏好的社会选择。20世纪70年代,吉伯特和萨特思维特提出并证明了任何合理的防策略投票方案都是独裁的,这是社会选择理论的一个非常重要的结论。为了深化对社会选择理论的认识,基于理由的偏好作为基本的偏好关系,研究不同情形下的基于理由的偏好聚合问题,构建一个基于理由的偏好投票方案,并对其防策略性进行了研究。

The so-called social choice theory is a preference aggregation scheme which aggregates the numerous individual preferences into a social preference and on the basis of that makes a social choice which reflects the true preference of each individual. In 1970 s,the Gibbard-Satterthwaite strategyproof voting impossibility theorem further confirms the result that every non-trivial strategy-proof voting scheme is dictatorial. In order to deepen the understanding to the social choice theory,we take reason-based preference as the basic preference relation,and first construct an aggregate function of reason-based preference,then establish a voting scheme of reason-based preference and study its strategy-proofness.