[Forum SIS] Bocconi DEC Seminar: Gleb Koshevoy - July 13th

[Anna Simoni]

Dear colleagues,

The Department of Decision Sciences (DEC) of Bocconi University is pleased to invite you to the seminar:

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DEC Seminar
Università Bocconi,
Room 3-E4-SR03
Via Roentgen 1 - 3rd floor
Time: 12:30pm

The DEC seminar schedule is available at http://www.unibocconi.eu/statseminar

Tuesday, July 13th

Gleb Koshevoy
(Laboratory of Mathematical Economics, CEMI, Russian Academy of Sciences)

"Maximal Condorcet domains"

Abstract:

Condorcet domains are subsets in the set LO of linear orders, where the
simple majority rule does not yield cycles. One of the first examples
of Condorcet domains is due to Black (1948). A challenging problem in
the field is to constrcut maximal Condrcet domains. Some results in
this field were obtained by Abello, Chamenie-Membua, Fishburn,
Monjardet, Gallambus and Rainer. We characterize maximal Condorcet
domains in terms of a symmetric binary relation $\sim$ on the set LO.
More precisely, we prove that maximal Condorcet domains are just
cliques in the graph (LO,$\sim$). We apply our theorem to study of two
classes of maximal Condorcet domains, the so called symmetric domains,
which with any order contains also the opposite order, and the
tiling-type domains.

Joint work with V.Danilov and S.Karzanov
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Sincerely,
Anna Simoni

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Anna Simoni

Assistant Professor
Department of Decision Sciences
Università Bocconi
via Roentgen, 1
20136 Milano - Italy

Email:anna.simoni a unibocconi.it
Webpage: http://faculty.unibocconi.eu/annasimoni/