RUS  ENG JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB
General information
Latest issue
Archive
Impact factor
Subscription

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Diskretn. Anal. Issled. Oper.:
Year:
Volume:
Issue:
Page:
Find






Personal entry:
Login:
Password:
Save password
Enter
Forgotten password?
Register


Diskretn. Anal. Issled. Oper., 2011, Volume 18, Number 4, Pages 77–93 (Mi da661)  

This article is cited in 2 scientific papers (total in 2 papers)

On a generalization of $N$-nucleolus in cooperative games

N. V. Smirnovaab, S. I. Tarashinaba

a Saint-Petersburg State University, Saint-Petersburg, Russia
b International Banking Institute, Saint-Petersburg, Russia

Abstract: We describe a new solution concept for a cooperative TU-game, called the $[0,1]$-nucleolus. It is based on the ideas of the nucleolus and the simplified modified nucleolus. The $[0,1]$-nucleolus takes into account both the constructive and the blocking powers of a coalition with all possible ratios between them. We show that this solution satisfies the following properties: nonemptiness (NE), covariance property (COV), anonimity (AN), Pareto optimality (PO), reasonableness (RE), and dummy player (DUM). Moreover, the $[0,1]$-nucleolus satisfies the individual rationality property (IR) for the class of 0-monotonic games and the single valued property (SIVA) for the class of constant-sum games. We also investigate connection between the $[0,1]$-nucleolus and some well-known solutions of cooperative TU-games such as the Shapley value, the prenucleolus, the simplified modified nucleolus and the modiclus. Tabl. 1, ill. 1, bibliogr. 8.

Keywords: TU-game, solution concept, the prenucleolus, the simplified modified nucleolus, the modified nucleolus (the modiclus).

Full text: PDF file (402 kB)
References: PDF file   HTML file

Bibliographic databases:
UDC: 519.833.5
Received: 26.12.2010

Citation: N. V. Smirnova, S. I. Tarashina, “On a generalization of $N$-nucleolus in cooperative games”, Diskretn. Anal. Issled. Oper., 18:4 (2011), 77–93

Citation in format AMSBIB
\Bibitem{SmiTar11}
\by N.~V.~Smirnova, S.~I.~Tarashina
\paper On a~generalization of $N$-nucleolus in cooperative games
\jour Diskretn. Anal. Issled. Oper.
\yr 2011
\vol 18
\issue 4
\pages 77--93
\mathnet{http://mi.mathnet.ru/da661}
\mathscinet{http://www.ams.org/mathscinet-getitem?mr=2894342}
\zmath{https://zbmath.org/?q=an:1249.91011}


Linking options:
  • http://mi.mathnet.ru/eng/da661
  • http://mi.mathnet.ru/eng/da/v18/i4/p77

    SHARE: VKontakte.ru FaceBook Twitter Mail.ru Livejournal Memori.ru


    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. Nadezhda V. Smirnova, Svetlana I. Tarashnina, “Geometricheskie svoistva $[0,1]$-$N$-yadra v kooperativnykh TP-igrakh”, MTIP, 4:1 (2012), 55–73  mathnet
    2. N. V. Smirnova, S. I. Tarashnina, “On properties of solutions of cooperative TU-games”, Russian Math. (Iz. VUZ), 60:6 (2016), 63–74  mathnet  crossref  isi
  • Дискретный анализ и исследование операций
    Number of views:
    This page:319
    Full text:97
    References:25
    First page:6

     
    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2020