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The SM-nucleolus in glove market games. / Tarashnina, S.; Sharlai, T.

In: Applied Mathematical Sciences, Vol. 9, No. 27, 2015, p. 1331-1340.

Research output: Contribution to journal › Article

Harvard

Tarashnina, S & Sharlai, T 2015, 'The SM-nucleolus in glove market games', Applied Mathematical Sciences, vol. 9, no. 27, pp. 1331-1340. https://doi.org/10.12988/ams.2015.519

APA

Tarashnina, S., & Sharlai, T. (2015). The SM-nucleolus in glove market games. Applied Mathematical Sciences, 9(27), 1331-1340. https://doi.org/10.12988/ams.2015.519

Vancouver

Tarashnina S, Sharlai T. The SM-nucleolus in glove market games. Applied Mathematical Sciences. 2015;9(27):1331-1340. https://doi.org/10.12988/ams.2015.519

Author

Tarashnina, S. ; Sharlai, T. / The SM-nucleolus in glove market games. In: Applied Mathematical Sciences. 2015 ; Vol. 9, No. 27. pp. 1331-1340.

BibTeX

@article{0b63fd690ed04771a5132e932a6ff9c6,
title = "The SM-nucleolus in glove market games",
abstract = "{\textcopyright} 2015 Svetlana Tarashnina and Tatiana Sharlai. In the present paper we consider a special class of TU-games glove market games. Using both analytical and algorithmic approaches we apply the SM-nucleolus a comparably new solution concept that is based on the idea of the blocking power of a coalition to this kind of games. We provide analytical formulae for calculation of the SMnucleolus. On the top of this, Potters' algorithm for the prenucleolus has been adapted for finding the SM-nucleolus as well. Some examples are given and explained in the paper. Finally, we discuss similarity and differences that the SM-nucleolus and different solution concepts of TU-games demonstrate for a class of glove market games.",
author = "S. Tarashnina and T. Sharlai",
year = "2015",
doi = "10.12988/ams.2015.519",
language = "English",
volume = "9",
pages = "1331--1340",
journal = "Applied Mathematical Sciences",
issn = "1312-885X",
publisher = "Hikari Ltd.",
number = "27",

}

RIS

TY - JOUR

T1 - The SM-nucleolus in glove market games

AU - Tarashnina, S.

AU - Sharlai, T.

PY - 2015

Y1 - 2015

N2 - © 2015 Svetlana Tarashnina and Tatiana Sharlai. In the present paper we consider a special class of TU-games glove market games. Using both analytical and algorithmic approaches we apply the SM-nucleolus a comparably new solution concept that is based on the idea of the blocking power of a coalition to this kind of games. We provide analytical formulae for calculation of the SMnucleolus. On the top of this, Potters' algorithm for the prenucleolus has been adapted for finding the SM-nucleolus as well. Some examples are given and explained in the paper. Finally, we discuss similarity and differences that the SM-nucleolus and different solution concepts of TU-games demonstrate for a class of glove market games.

AB - © 2015 Svetlana Tarashnina and Tatiana Sharlai. In the present paper we consider a special class of TU-games glove market games. Using both analytical and algorithmic approaches we apply the SM-nucleolus a comparably new solution concept that is based on the idea of the blocking power of a coalition to this kind of games. We provide analytical formulae for calculation of the SMnucleolus. On the top of this, Potters' algorithm for the prenucleolus has been adapted for finding the SM-nucleolus as well. Some examples are given and explained in the paper. Finally, we discuss similarity and differences that the SM-nucleolus and different solution concepts of TU-games demonstrate for a class of glove market games.

U2 - 10.12988/ams.2015.519

DO - 10.12988/ams.2015.519

M3 - Article

VL - 9

SP - 1331

EP - 1340

JO - Applied Mathematical Sciences

JF - Applied Mathematical Sciences

SN - 1312-885X

IS - 27

ER -

ID: 3977523