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Sufficientarian Grading Rules and Rankings:Characterizations and Implementation

Author

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  • Marcello Basili

  • Ernesto Savaglio

  • Stefano Vannucci

Abstract

Sufficientarian grading rules are de ned using a nite family of sucientarian 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 de ned 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," Department of Economics University of Siena 945, Department of Economics, University of Siena.
    • Handle: RePEc:usi:wpaper:945
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    JEL classification:

    • D31 - Microeconomics - - Distribution - - - Personal Income and Wealth Distribution
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement

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