Axiomatic derivation of scoring rules without the ordering assumption

Axiomatic derivation of scoring rules without the ordering assumption
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无需排序假设的评分规则的公理推导

DOI:
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发表时间:
1993
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通讯作者:
R. Myerson
R. Myerson
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文献类型:
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作者:
R. Myerson

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史密斯(Smith,1973)和杨(Young,1975)对评分规则的早期推导,假设选民只能在他或她的选票上表达备选方案的等级排序。本文表明,评分规则可以推导出没有这种排序的假设。它表明,一个投票规则必须是一个评分规则,如果它满足三个基本公理:强化,压倒性多数,和中立。其他范围和非反转公理也进行了讨论。
Earlier derivations of scoring rules, by Smith (1973) and Young (1975), assumed that a voter can express only a rank ordering of the alternatives on his or her ballot. This paper shows that scoring rules can be derived without this ordering assumption. It is shown that a voting rule must be a scoring rule if it satisfies three basic axioms: reinforcement, overwhelming majorities, and neutrality. Other range and nonreversal axioms are also discussed.