Coalition Power Estimation. Overview from the Mathematical and Philosophical Perspectives
DOI:
https://doi.org/10.21638/11701/spbu31.2020.08Abstract
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
Downloads
Download data is not yet available.
References
Bergson, H. (1932). The Two Sources of Morality and Religion (Les Deux Sources de la Morale et de la Religion)
Gromova, E., Petrosyan, L. (2017). On an approach to constructing a characteristic function in cooperative differential games. Automation and Remote Control, 78, 1680–1692
Gromova, E., Marova, E. (2018). Coalition and anti-coalition interaction in cooperative differential games. IFAC PapersOnLine, 51(32), 479–483
Gromova, E., Marova, E., Gromov, D. (2020). A substitute for the classical Neumann-Morgenstern characteristic function in cooperative differential games. Journal of Dynamics and Games, 7(2), 105–122
Gromova, E., Marova, E. (2018). On the characteristic function construction technique in differential games with prescribed and random duration. Contributions to Game Theory and Management, 11, 53–65
Dostoevsky, F.M. (1974). Demons. Preparatory materials. Dostoevsky F.M. Complete works. In 30 volumes. Volume 11. Leningrad: Nauka, P. 193 (in Russian)
Dostoevsky, F.M. (1994). The Brothers Karamazov. Great Books of the Western World. Vol. 52. Dostoevsky. Ibsen. 2d ed. Chicago, Encyclopaedia Britannica, inc., p. 156–157
von Neumann, J., Morgenstern, O. (1953). Theory of Games and Economic Behavior. Princeton University Press
Pechersky, S., Yanovskaya, E. (2004). Cooperative games: solutions and axioms. St. Petersburg
Petrosjan, L., Danilov, N. (1982). Cooperative differential games and their applications; Tomsk University Press: Tomsk
Petrosyan, L.A., Gromova, E.V. (2014). Two-level cooperation in coalitional differential games. Trudy Inst. Mat. i Mekh. UrO RAN, 20(3), 193–203
Petrosyan, L.A., Zenkevich, N.A., Shevkoplyas, E.V. (2012). Teoriya igr (Game Theory), St. Petersburg: BKhV-Peterburg
Petrosjan, L., Zaccour, G. (2003). Time-consistent Shapley value allocation of pollution cost reduction. J. of Economic Dynamics and Control, 27(3), 381–398
Reddy, P.V., Zaccour, G. (2014). A friendly computable characteristic function. GERAD Research Report G-2014-78
Solovyev, V. (1988). About the decline of the medieval worldview. Soloviev V.S. Collected Works. In 2 volumes. M., Vol. 2. P. 342–343 (in Russian)
Tolstaya, Katya (2013). Kaleidoscope: F.M. Dostoevsky and the early dialectical theology. Transl. by Anthony Runia, Brill's Series in Church History, Vol. 61, Leiden, 2013, p. 66
Tolstoy, Leo (1885). What I Believe. (My Religion.) Trans. from The French by Huntington Smith. New York: Thomas Y. Crowell & Co., 13 Astor Place. Copyright By Thomas Y. Crowell & Co. http://www.gutenberg.org/files/43794/43794-h/43794-h.htm
Tolstoy, Leo (1934). On Life and Essays on Religion/ Transl. with an Introduction by Aylmer Maude, Oxford University Press, London: Humphrey Milford
Vorob'ev, N.N. (1967). Coalitional Games. Teor. Veroyatnost. i Primenen., 12(2) (1967), 289-306. Theory Probab. Appl., 12(2) (1967), 251–266
Weber, M. (1905). Die protestantische Ethik und der Geist des Kapitalismus (transl. The Protestant Ethic and the Spirit of Capitalism)
Downloads
Published
2022-02-02
How to Cite
Gromova, E. V., & Evlampiev, I. I. (2022). Coalition Power Estimation. Overview from the Mathematical and Philosophical Perspectives. Contributions to Game Theory and Management, 13. https://doi.org/10.21638/11701/spbu31.2020.08
Issue
Section
Articles
License
Articles of "Contributions to Game Theory and Management" are open access distributed under the terms of the License Agreement with Saint Petersburg State University, which permits to the authors unrestricted distribution and self-archiving free of charge.
