Marcello Basili
DEPS, USiena
Ernesto Savaglio
University of Chieti-Pescara, Department of Business Economics, & GRASS
Stefano Vannucci
DEPS, USiena
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.
Keywords
Suffcientarianism, Grading Function, Thresholds, Rating, Ranking
Jel Codes
D31, D63
