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arXiv 2607.08293econ.TH
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充足主义分级规则与排序:特征刻画与实施

Sufficientarian Grading Rules and Rankings: Characterizations and Implementation

University of Siena(锡耶纳大学);University of Chieti-Pescara(基耶蒂-佩斯卡拉大学)

Marcello Basili, Ernesto Savaglio, Stefano Vannucci

AI总结:

研究充足主义分级规则及其诱导的全预序的特征刻画,基于其充足性差距信息定义新全预序并刻画,还给出能选择特定充足主义分级规则的一类协议。

摘要:

充足主义分级规则是通过一族关于个体能力分配的充足主义判断来定义的,体现在充足主义二元分级函数(BGF)中。对充足主义分级规则及其所诱导的能力类型分配上的充足主义全预序进行了特征刻画。此外,基于充足主义分级规则提供的充足性差距信息定义了几个进一步的全预序并对其中一些进行了特征刻画。还表明存在一类可用于选择特定充足主义分级规则的包容、尊重一致性且适当防策略的协议(当代理数量为奇数时包括简单多数)。

英文摘要:

Sufficientarian grading rules are defined using a finite family of sufficientarian judgements on individual capability assignments as embodied in a sufficientarian binary grading function (BGF). Both sufficientarian grading rules and the sufficientarian total preorders on capability-type assignments they induce are characterized. Moreover, several further total preorders based upon sufficiency-gap information provided by a sufficientarian grading rule are explicitly defined and some of them are also characterized. It is also shown that there exists a class of inclusive, unanimity-respecting and suitably strategy-proof protocols (including simple majority when the number of agents is odd) which can be deployed in order to select one specific sufficientarian grading rule.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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