Sufficientarian Grading Rules and Rankings: Characterizations and Implementation

Marcello Basili; Ernesto Savaglio; Stefano Vannucci

Sufficientarian Grading Rules and Rankings: Characterizations and Implementation

理论经济学 2026-07-09 v1

作者: Marcello Basili , Ernesto Savaglio , Stefano Vannucci

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.

引用

@article{arxiv.2607.08293,
  title  = {Sufficientarian Grading Rules and Rankings: Characterizations and Implementation},
  author = {Marcello Basili and Ernesto Savaglio and Stefano Vannucci},
  journal= {arXiv preprint arXiv:2607.08293},
  year   = {2026}
}