Modeling optimal social choice: matrix-vector representation of various solution concepts based on majority rule
Fuad Aleskerov and
Andrey Subochev (asubochev@hse.ru)
Journal of Global Optimization, 2013, vol. 56, issue 2, 737-756
Abstract:
Various Condorcet consistent social choice functions based on majority rule (tournament solutions) are considered in the general case, when ties are allowed: the core, the weak and strong top cycle sets, versions of the uncovered and minimal weakly stable sets, the uncaptured set, the untrapped set, classes of k-stable alternatives and k-stable sets. The main focus of the paper is to construct a unified matrix-vector representation of a tournament solution in order to get a convenient algorithm for its calculation. New versions of some solutions are also proposed. Copyright Springer Science+Business Media, LLC. 2013
Keywords: Solution concept; Majority relation; Tournament; Matrix-vector representation; Condorcet winner; Core; Top cycle; Uncovered set; Weakly stable set; Externally stable set; Uncaptured set; Untrapped set; k-stable alternative; k-stable set (search for similar items in EconPapers)
Date: 2013
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Citations: View citations in EconPapers (8)
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Persistent link: https://EconPapers.repec.org/RePEc:spr:jglopt:v:56:y:2013:i:2:p:737-756
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DOI: 10.1007/s10898-012-9907-2
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