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Sufficientarian Grading Rules and Rankings: Characterizations and Implementation

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  • Marcello Basili
  • Ernesto Savaglio
  • Stefano Vannucci

Abstract

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.

Suggested Citation

  • Marcello Basili & Ernesto Savaglio & Stefano Vannucci, 2026. "Sufficientarian Grading Rules and Rankings: Characterizations and Implementation," Papers 2607.08293, arXiv.org.
    • Handle: RePEc:arx:papers:2607.08293
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    File URL: https://arxiv.org/pdf/2607.08293
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