Coalition power estimation. Overview from the mathematical and philosophical perspectives
Contributions to game theory and management, Tome 13 (2020), pp. 142-151.

Voir la notice de l'article provenant de la source Math-Net.Ru

The paper studies the problem of measuring the strength of a coalition in terms of the mathematical game theory and social philosophy. This work is an interdisciplinary study.
Keywords: cooperative games, characteristic function, social philosophy, Christian ideal of society.
@article{CGTM_2020_13_a7,
     author = {Ekaterina V. Gromova and Igor I. Evlampiev},
     title = {Coalition power estimation. {Overview} from the mathematical and philosophical perspectives},
     journal = {Contributions to game theory and management},
     pages = {142--151},
     publisher = {mathdoc},
     volume = {13},
     year = {2020},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/CGTM_2020_13_a7/}
}
TY  - JOUR
AU  - Ekaterina V. Gromova
AU  - Igor I. Evlampiev
TI  - Coalition power estimation. Overview from the mathematical and philosophical perspectives
JO  - Contributions to game theory and management
PY  - 2020
SP  - 142
EP  - 151
VL  - 13
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/CGTM_2020_13_a7/
LA  - en
ID  - CGTM_2020_13_a7
ER  - 
%0 Journal Article
%A Ekaterina V. Gromova
%A Igor I. Evlampiev
%T Coalition power estimation. Overview from the mathematical and philosophical perspectives
%J Contributions to game theory and management
%D 2020
%P 142-151
%V 13
%I mathdoc
%U http://geodesic.mathdoc.fr/item/CGTM_2020_13_a7/
%G en
%F CGTM_2020_13_a7
Ekaterina V. Gromova; Igor I. Evlampiev. Coalition power estimation. Overview from the mathematical and philosophical perspectives. Contributions to game theory and management, Tome 13 (2020), pp. 142-151. http://geodesic.mathdoc.fr/item/CGTM_2020_13_a7/

[1] Les Deux Sources de la Morale et de la Religion

[2] Gromova E., Petrosyan L., “On an approach to constructing a characteristic function in cooperative differential games”, Automation and Remote Control, 78 (2017), 1680–1692 | DOI | MR

[3] Gromova E., Marova E., “Coalition and anti-coalition interaction in cooperative differential games”, IFAC PapersOnLine, 51:32 (2018), 479–483 | DOI

[4] Gromova E., Marova E., Gromov D., “A substitute for the classical Neumann-Morgenstern characteristic function in cooperative differential games”, Journal of Dynamics and Games, 7:2 (2020), 105–122 | DOI | MR | Zbl

[5] Gromova E., Marova E., “On the characteristic function construction technique in differential games with prescribed and random duration”, Contributions to Game Theory and Management, 11 (2018), 53–65 | MR

[6] Dostoevsky F.M., Dostoevsky F.M. Complete works, In 30 volumes, v. 11, Demons. Preparatory materials, Nauka, Leningrad, 1974, 193 (in Russian)

[7] Dostoevsky F.M., The Brothers Karamazov, Great Books of the Western World, 52, 2d ed., Encyclopaedia Britannica, inc., Chicago, 1994, 156–157

[8] von Neumann J., Morgenstern O., Theory of Games and Economic Behavior, Princeton University Press, 1953 | MR | Zbl

[9] Pechersky S., Yanovskaya E., Cooperative games: solutions and axioms, St. Petersburg, 2004

[10] Petrosjan L., Danilov N., Cooperative differential games and their applications, Tomsk University Press, Tomsk, 1982 | MR

[11] Petrosyan L.A., Gromova E.V., “Two-level cooperation in coalitional differential games”, Trudy Inst. Mat. i Mekh. UrO RAN, 20, no. 3, 2014, 193–203 | MR

[12] Petrosyan L.A., Zenkevich N.A., Shevkoplyas E.V., Game Theory, BKhV-Peterburg, St. Petersburg, 2012

[13] Petrosjan L., Zaccour G., “Time-consistent Shapley value allocation of pollution cost reduction”, J. of Economic Dynamics and Control, 27:3 (2003), 381–398 | DOI | MR | Zbl

[14] Reddy P.V., Zaccour G., A friendly computable characteristic function, GERAD Research Report G-2014-78, 2014 | MR

[15] Solovyev V., “About the decline of the medieval worldview”, Soloviev V.S. Collected Works, In 2 volumes, v. 2, M., 1988, 342–343 (in Russian)

[16] Tolstaya Katya, “Kaleidoscope: F.M. Dostoevsky and the early dialectical theology”, Transl. by Anthony Runia, Brill's Series in Church History, 61, Leiden, 2013, 66

[17] Tolstoy Leo, What I Believe. (My Religion), Trans. from The French by Huntington Smith, Thomas Y. Crowell Co., New York, 1885 http://www.gutenberg.org/files/43794/43794-h/43794-h.htm

[18] Tolstoy Leo, On Life and Essays on Religion, Transl. with an Introduction by Aylmer Maude, Oxford University Press; Humphrey Milford, London, 1934

[19] Theory Probab. Appl., 12:2 (1967), 251–266 | DOI | MR | Zbl

[20] The Protestant Ethic and the Spirit of Capitalism