Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika
RUS  ENG    JOURNALS   PEOPLE   ORGANISATIONS   CONFERENCES   SEMINARS   VIDEO LIBRARY   PACKAGE AMSBIB  
General information
Latest issue
Archive

Search papers
Search references

RSS
Latest issue
Current issues
Archive issues
What is RSS



Izv. Vyssh. Uchebn. Zaved. Mat.:
Year:
Volume:
Issue:
Page:
Find






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


Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2016, Number 6, Pages 73–85 (Mi ivm9125)  

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

On properties of solutions of cooperative TU-games

N. V. Smirnovaa, S. I. Tarashninab

a National Research University "Higher School of Economics", 3 Kantemirovskaya str., Saint-Petersburg, 194100 Russia
b Saint-Petersburg State University, 35 Universitetskii Ave., Saint-Petersburg, Petergof, 198504 Russia
Full-text PDF (223 kB) Citations (2)
References:
Abstract: In the capacity of a solution concept of cooperative TU-game we propose the $\alpha$-$N$-prenucleoli set, $\alpha\in R$, which is a generalization of the $[0,1]$-prenucleolus. We show that in a cooperative game the $\alpha$-$N$-prenucleoli set takes into account the constructive power with weight $\alpha$ and the blocking power with weight $(1-\alpha)$ for all possible values of the parameter $\alpha$. Having introduced two independent parameters we obtain the same result – the set of vectors which coincides with the set of $\alpha$-prenucleoli. Moreover, the $\alpha$-$N$-prenucleoli set satisfies duality and independence of an excess arrangement. Finally, the covariance property has been expanded. Some examples are given to illustrate the results.
Keywords: TU-game, $N$-prenucleolus, $SM$-nucleolus, $[0,1]$-prenucleolus, $\alpha$-prenucleoli set, duality.
Received: 31.10.2014
English version:
Russian Mathematics (Izvestiya VUZ. Matematika), 2016, Volume 60, Issue 6, Pages 63–74
DOI: https://doi.org/10.3103/S1066369X16060086
Bibliographic databases:
Document Type: Article
UDC: 519.834
Language: Russian
Citation: N. V. Smirnova, S. I. Tarashnina, “On properties of solutions of cooperative TU-games”, Izv. Vyssh. Uchebn. Zaved. Mat., 2016, no. 6, 73–85; Russian Math. (Iz. VUZ), 60:6 (2016), 63–74
Citation in format AMSBIB
\Bibitem{SmiTar16}
\by N.~V.~Smirnova, S.~I.~Tarashnina
\paper On properties of solutions of cooperative TU-games
\jour Izv. Vyssh. Uchebn. Zaved. Mat.
\yr 2016
\issue 6
\pages 73--85
\mathnet{http://mi.mathnet.ru/ivm9125}
\transl
\jour Russian Math. (Iz. VUZ)
\yr 2016
\vol 60
\issue 6
\pages 63--74
\crossref{https://doi.org/10.3103/S1066369X16060086}
\isi{https://gateway.webofknowledge.com/gateway/Gateway.cgi?GWVersion=2&SrcApp=Publons&SrcAuth=Publons_CEL&DestLinkType=FullRecord&DestApp=WOS_CPL&KeyUT=000409300600008}
\scopus{https://www.scopus.com/record/display.url?origin=inward&eid=2-s2.0-84971255077}
Linking options:
  • https://www.mathnet.ru/eng/ivm9125
  • https://www.mathnet.ru/eng/ivm/y2016/i6/p73
  • This publication is cited in the following 2 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    Известия высших учебных заведений. Математика Russian Mathematics (Izvestiya VUZ. Matematika)
    Statistics & downloads:
    Abstract page:220
    Full-text PDF :55
    References:58
    First page:19
     
      Contact us:
     Terms of Use  Registration to the website  Logotypes © Steklov Mathematical Institute RAS, 2024