engleski

On p-Disapproval voting characterization

Voting procedure p-Disapproval voting is a generalization of standard Diss&Approval voting system (as presented by Alcantu and Laruell), build upon the grading which utilizes a parameter value p. As previously shown (see Hatzivelkos and Maretić, 2021), such generalization enables the fulfillment of the strong version of the Compromise axiom, as presented in (Hatzivelkos 2021). In this paper we are exploring the possibilities of axiomatic characterization of the p-Disapproval voting, following the method presented by Gonzalez, Laruelle and Solal (2019). With this in mind, we show that p-Disapproval vote satisfies standard Anonymity and Neutrality Axioms. Following the work of Gonzalez et al. we define the Independence of unconcerned voters and Independence of Pareto dominated candidates axioms and show that p-Disapproval vote satisfies both of them. As a result, p-Disapproval vote belongs to the class of voting functions described by Gonzales et. al. Furthermore, we introduce the notion of voting rule characterization dilemma, and explore the possibilities of construction a characterization dilemma for p-Disapproval vote.

Approval voting ; Disapproval voting ; characterization ; dilemma

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