 An example of probability computations under the IAC assumption: The stability of scoring rulesMostapha Diss, Ahmed Louichi, Vincent Merlin () and Hatem Smaoui Mathematical Social Sciences, 2012, vol. 64, issue 1, 57-66 Abstract: A society facing a choice problem has also to choose the voting rule itself from a set of different possible voting rules. A voting rule is self-selective if it chooses itself when it is also used in choosing the voting rule. A set of voting rules is said to be stable if it contains at least one self-selective voting rule at each profile of preferences on voting rules. We consider in this paper a society which makes a choice from a set of three alternatives {a,b,c} and a set of the three well-known scoring voting rules {Borda, Plurality, Antiplurality}. We will derive an a priori probability for the stability of this triplet of voting rules, under the Impartial Anonymous Culture assumption (IAC). In order to solve this problem, we need to specify Ehrhart polynomials, which count the number of integer points inside a (convex) polytope. We discuss briefly a recent algorithmic solution to this method before applying it. We also discuss the impact of different behavioral assumptions for the voters (consequentialist or nonconsequentialist) on the probability of stability for the triplet {Borda, Plurality, Antiplurality}. Date: 2012 Downloads: (external link) Related works: Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text Persistent link: https://EconPapers.repec.org/RePEc:eee:matsoc:v:64:y:2012:i:1:p:57-66 DOI: 10.1016/j.mathsocsci.2011.12.005 Access Statistics for this article Mathematical Social Sciences is currently edited by J.-F. Laslier More articles in Mathematical Social Sciences from Elsevier |
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