This paper studies a bi-parametric family of decision rules,
so-called restricted distinguished
chairman rules, which contains several one-parameter classes of rules
considered previously in the literature.
Roughly speaking, these rules apply to a variety of situations where
the original committee appoints a
subcommittee. Moreover, the chairman of the subcommittee, who is
supposed to be the most competent committee
member, may have more voting power than other jurors. Under the
assumption of exponentially distributed decision
skills, we obtain an analytic formula for the probability of any
restricted distinguished chairman rule being
optimal. We also study, for arbitrary fixed voting power of the
chairman, the connection between the probability
of the rule being optimal and the size of the subcommittee.
Keywords:
paper studies bi parametric family decision rules so called restricted distinguished chairman rules which contains several one parameter classes rules considered previously literature roughly speaking these rules apply variety situations where original committee appoints subcommittee moreover chairman subcommittee who supposed competent committee member may have voting power other jurors under assumption exponentially distributed decision skills obtain analytic formula probability restricted distinguished chairman rule being optimal study arbitrary fixed voting power chairman connection between probability rule being optimal size subcommittee
Affiliations des auteurs :
Daniel Berend
1
;
Luba Bromberg
1
;
Luba Sapir
1
1
Departments of Mathematics and Computer Science Ben-Gurion University 84105 Be'er Sheva, Israel
@article{10_4064_am39_2_4,
author = {Daniel Berend and Luba Bromberg and Luba Sapir},
title = {Probabilistic comparison of
weighted majority rules},
journal = {Applicationes Mathematicae},
pages = {151--167},
year = {2012},
volume = {39},
number = {2},
doi = {10.4064/am39-2-4},
language = {en},
url = {http://geodesic.mathdoc.fr/articles/10.4064/am39-2-4/}
}
TY - JOUR
AU - Daniel Berend
AU - Luba Bromberg
AU - Luba Sapir
TI - Probabilistic comparison of
weighted majority rules
JO - Applicationes Mathematicae
PY - 2012
SP - 151
EP - 167
VL - 39
IS - 2
UR - http://geodesic.mathdoc.fr/articles/10.4064/am39-2-4/
DO - 10.4064/am39-2-4
LA - en
ID - 10_4064_am39_2_4
ER -
%0 Journal Article
%A Daniel Berend
%A Luba Bromberg
%A Luba Sapir
%T Probabilistic comparison of
weighted majority rules
%J Applicationes Mathematicae
%D 2012
%P 151-167
%V 39
%N 2
%U http://geodesic.mathdoc.fr/articles/10.4064/am39-2-4/
%R 10.4064/am39-2-4
%G en
%F 10_4064_am39_2_4
Daniel Berend; Luba Bromberg; Luba Sapir. Probabilistic comparison of
weighted majority rules. Applicationes Mathematicae, Tome 39 (2012) no. 2, pp. 151-167. doi: 10.4064/am39-2-4
