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<font face="Arial">Estimados Académicos y Alumnos, </font><br>
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Se les recuerda que hoy miércoles 15 de enero a contar de
las 15:00hrs. se realizarán dos sesiones del Seminario
CMM, en la sala de B05 </font><font face="Arial">Beuchef
851, Torre Norte -1. </font><br>
<font face="Arial"> <br>
</font><br>
<font face="Arial"><b> </b></font><b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman";mso-fareast-language:ES-TRAD">Seminario
CMM</span></b><br>
<b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman";mso-fareast-language:ES-TRAD"></span></b>
<p class="MsoNormal"
style="margin-bottom:0cm;margin-bottom:.0001pt;line-height:
normal"><b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman";mso-fareast-language:ES-TRAD"> <br>
Primera Sesión 15:00 hrs. <br>
<br>
</span></b><b><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US">Expositor </span></b><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US"></span></p>
<p class="MsoNormal"
style="margin-bottom:12.0pt;line-height:normal"><b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman";
mso-ansi-language:EN-US;mso-fareast-language:ES-TRAD"
lang="EN-US">Chloé Ridel<br>
<br>
Title: "Le Jugement Majoritaire, une nouvelle théorie du
choix social"</span></b></p>
<p class="MsoNormal"
style="margin-bottom:12.0pt;text-align:justify;line-height:
normal"><b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New
Roman";mso-ansi-language:EN-US;mso-fareast-language:ES-TRAD"
lang="EN-US">Abstract: </span></b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New
Roman";mso-ansi-language:EN-US;mso-fareast-language:ES-TRAD"
lang="EN-US">Le Jugement Majoritaireest une nouvelle
théorie du choix social applicable à toute prise de
décision collective, établie par les chercheurs du CNRS
Michel Balinski et Rida Laraki à partir de 2006. En
adoptant une toute nouvelle perspective du vote pour
tenter de répondre au théorème d'impossibilité d'Arrow,
elle résout les paradoxes de l'élection constatés par
Condorcet et Arrow. L'électeur vote en évaluant
individuellement tous les candidats, à partir d'une
échelle commune et ordinale du mentions (par ex. Très
bien, Bien, Assez bien, Passable, Insuffisant, A Rejeter).
</span><span style="font-family:
"Tahoma",sans-serif;mso-fareast-font-family:"Times New
Roman";mso-fareast-language: ES-TRAD">La candidature
qui remporte l'élection est celle qui est la mieux évaluée
par une majorité de l’électorat. En donnant la possibilité
à l'électeur d'exprimer pleinement ses opinions, le
Jugement majoritaire met fin au "vote utile" (ou vote
stratégique) et pourrait rendre obsolète le vote blanc. En
France, mais aussi à l'étranger, de multiples
expérimentations ont d’ores et déjà permis de tester les
potentialités de la méthode. Le Jugement majoritaire gagne
en popularité et est utilisé par des partis politiques,
comme des syndicats, des entreprises, des écoles ou encore
des associations. Nous verrons comment le Jugement
majoritaire peut contribuer à redonner de la légitimité à
la démocratie représentative, mais aussi servir à
développer la démocratie directe et participative aux
échelles locales et nationales".</span></p>
<p class="MsoNormal"
style="margin-bottom:12.0pt;line-height:normal"><b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman"; mso-fareast-language:ES-TRAD"><br>
</span></b><b><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US">Segunda Sesión 16:00 hrs<br>
</span></b><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New
Roman";mso-ansi-language:EN-US;mso-fareast-language:ES-TRAD"
lang="EN-US"><br>
<b>Expositor: <br>
<br>
Marcus Pivato ( U Cergy Pontoise) <br>
Title: The median rule in judgement aggregation (joint
work with Klaus Nehring).</b></span><span
style="font-family:"Tahoma",sans-serif;mso-fareast-font-family:"Times
New Roman";mso-fareast-language:ES-TRAD"></span></p>
<p class="MsoNormal"
style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal"><b><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US">Abstract: </span></b><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US">I will first briefly introduce
social choice theory in general. I will then move onto the
subfield of judgement aggregation, and discuss some recent
research on this topic<b>.</b> In a judgement aggregation
problem, we begin with a set K of logically interconnected
propositions, called issues. A view is an assignment of a
truth-value to each issue in K. However, not all views are
admissible; some may violate the logical relationships
between the different issues in K. Suppose that each
individual voter has a logically consistent view; we want
to aggregate these individual views together to obtain a
collective view. A procedure for doing this is called a
judgement aggregation rule. The most obvious procedure is
to simply agree with the the majority opinion on each
issue. But this "majority view" is often logically
inconsistent. This raises the question: which (consistent)
judgement aggregation rule gives the "best approximation"
of the majority view? One plausible candidate is the
median rule: this rule chooses the admissible view which
minimizes the average Hamming distance to the views of the
voters. </span></p>
<p class="MsoNormal"
style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal"><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US"> </span></p>
<p class="MsoNormal"
style="margin-bottom:0cm;margin-bottom:.0001pt;text-align:
justify;line-height:normal"><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US"></span><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US"></span><span
style="font-family:"Tahoma",sans-serif;
mso-fareast-font-family:"Times New
Roman";mso-ansi-language:EN-US;mso-fareast-language:
ES-TRAD" lang="EN-US">We have shown that the median rule
as the only judgement aggregation rule satisfying three
axioms: Ensemble Supermajority Efficiency, Reinforcement,
and Upper Hemicontinuity. "Supermajority efficiency" means
(roughly) that the rule tries to agree with the majority
view in as many issues as possible; furthermore, if it can
only agree with a majority in one out of two issues, it
will choose the larger majority. Ensemble supermajority
efficiency extends this principle to the case where the
rule is applied to solve many aggregation problems
simultaneously. Reinforcement means that, if two
subpopulations independently choose the same view using
the rule, then the combined population should also choose
this view using this rule. Upper hemicontinuity means that
the outcome is invariant under small perturbations;
equivalently, it means that an outcome reflecting the will
of an "overwhelming majority" of voters cannot be changed
by a small minority.</span> </p>
<p class="MsoNormal"
style="margin-bottom:0cm;margin-bottom:.0001pt;line-height:
normal"><span
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New Roman";mso-fareast-language:ES-TRAD"><br>
Miércoles 15 de enero a contar de las 15:00 hrs, Sala B05
Beauchef 851, Torre Norte -1.</span></p>
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Esperando contar con su presencia, les saluda, <br>
<br>
Ma. Inés Rivera <br>
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