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A probabilistic evaluation framework for preference aggregation reflecting group homogeneity

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A probabilistic evaluation framework for preference aggregation reflecting group homogeneity. / Jansen, C.; Schollmeyer, G.; Augustin, T.
In: Mathematical Social Sciences, Vol. 96, 30.11.2018, p. 49-62.

Research output: Contribution to Journal/MagazineJournal articlepeer-review

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Jansen C, Schollmeyer G, Augustin T. A probabilistic evaluation framework for preference aggregation reflecting group homogeneity. Mathematical Social Sciences. 2018 Nov 30;96:49-62. Epub 2018 Sept 27. doi: 10.1016/j.mathsocsci.2018.09.001

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Jansen, C. ; Schollmeyer, G. ; Augustin, T. / A probabilistic evaluation framework for preference aggregation reflecting group homogeneity. In: Mathematical Social Sciences. 2018 ; Vol. 96. pp. 49-62.

Bibtex

@article{a503d28e11d6406998dd5404dc87e219,
title = "A probabilistic evaluation framework for preference aggregation reflecting group homogeneity",
abstract = "Groups differ in the homogeneity of their members{\textquoteright} preferences. Reflecting this, we propose a probabilistic criterion for evaluating and comparing the adequateness of preference aggregation procedures that takes into account information on the considered group{\textquoteright}s homogeneity structure. Further, we discuss two approaches for approximating our criterion if information is only imperfectly given and show how to estimate these approximations from data. As a preparation, we elaborate some general minimal requirements for measuring homogeneity and discuss a specific proposal for a homogeneity measure. Finally, we investigate our framework by comparing aggregation rules in a simulation study.",
author = "C. Jansen and G. Schollmeyer and T. Augustin",
year = "2018",
month = nov,
day = "30",
doi = "10.1016/j.mathsocsci.2018.09.001",
language = "English",
volume = "96",
pages = "49--62",
journal = "Mathematical Social Sciences",
issn = "0165-4896",
publisher = "Elsevier",

}

RIS

TY - JOUR

T1 - A probabilistic evaluation framework for preference aggregation reflecting group homogeneity

AU - Jansen, C.

AU - Schollmeyer, G.

AU - Augustin, T.

PY - 2018/11/30

Y1 - 2018/11/30

N2 - Groups differ in the homogeneity of their members’ preferences. Reflecting this, we propose a probabilistic criterion for evaluating and comparing the adequateness of preference aggregation procedures that takes into account information on the considered group’s homogeneity structure. Further, we discuss two approaches for approximating our criterion if information is only imperfectly given and show how to estimate these approximations from data. As a preparation, we elaborate some general minimal requirements for measuring homogeneity and discuss a specific proposal for a homogeneity measure. Finally, we investigate our framework by comparing aggregation rules in a simulation study.

AB - Groups differ in the homogeneity of their members’ preferences. Reflecting this, we propose a probabilistic criterion for evaluating and comparing the adequateness of preference aggregation procedures that takes into account information on the considered group’s homogeneity structure. Further, we discuss two approaches for approximating our criterion if information is only imperfectly given and show how to estimate these approximations from data. As a preparation, we elaborate some general minimal requirements for measuring homogeneity and discuss a specific proposal for a homogeneity measure. Finally, we investigate our framework by comparing aggregation rules in a simulation study.

U2 - 10.1016/j.mathsocsci.2018.09.001

DO - 10.1016/j.mathsocsci.2018.09.001

M3 - Journal article

VL - 96

SP - 49

EP - 62

JO - Mathematical Social Sciences

JF - Mathematical Social Sciences

SN - 0165-4896

ER -