RUS  ENG
Полная версия
ЖУРНАЛЫ // Известия Иркутского государственного университета. Серия «Математика»

Известия Иркутского государственного университета. Серия Математика, 2017, том 20, страницы 109–121 (Mi iigum308)

A computational method for solving $N$-person game
R. Enkhbat, S. Batbileg, N. Tungalag, Anton Anikin, Alexander Gornov

Список литературы

1. Strekalovsky A.S., “Global Optimality Conditions for Nonconvex Optimization”, Journal of Global Optimization, 12 (1998), 415-434  crossref  mathscinet  zmath
2. Enkhbat R., Tungalag N., Gornov A., Anikin A., “The Curvilinear Search Algorithm for Solving Three-Person Game”, Proc. DOOR 2016, CEUR-WS, 1623, 2016, 574-583 http://ceur-ws.org/Vol-1623/paperme4.pdf
3. Gornov A., Zarodnyuk T., “Computing technology for estimation of convexity degree of the multiextremal function”, Machine learning and data analysis, 10:1 (2014), 1345-1353 http://jmlda.org
4. Mangasarian O.L., Stone H., “Two-Person Nonzero Games and Quadratic Programming”, J. Mathemat. Anal. Appl., 9 (1964), 348-355  crossref  mathscinet  zmath
5. Mills H., “Equilibrium Points in Finite Games”, J. Soc. Indust. Appl. Mathemat., 8:2 (1960), 397-402  crossref  mathscinet  zmath
6. Von Neumann J., Morgenstern O., Theory of games and economic behavior, Princeton University Press, 1944  mathscinet  zmath
7. Dresher M., The Mathematics of Games of Strategy, Dover Publications, 1981  mathscinet  zmath
8. Vorobyev N.N., Noncooperative games, Nauka Publ., M., 1984  mathscinet
9. Germeyer Yu.B., Introduction to Operation Reseach, Nauka Publ., M., 1976
10. Strekalovsky A.S., Orlov A.V., Bimatrix Game and Bilinear Programming, Nauka Publ., M., 2007
11. Owen G., Game Theory, Saunders, Philadelphia, 1971  mathscinet
12. Gibbons R., Game Theory for Applied Economists, Princeton University Press, 1992
13. Horst R., Tuy H., Global Optimization, Springer-Verlag, 1993  mathscinet  zmath
14. Howson J.T., “Equilibria of Polymatrix Games”, Management Sci., 18 (1972), 312-318  crossref  mathscinet  zmath
15. Strekalovsky A.S., Enkhbat R., “Polymatrix games and optimization problems”, Automation and Remote Control, 75:4 (2014), 632-645  mathnet  crossref  mathscinet
16. Orlov A.V., Strekalovsky A.S., Batbileg S., “On computational search for Nash equilibrium in hexamatrix games”, Optimization Letters, 10:2 (2014), 369-381  crossref  mathscinet
17. Problem 3.4., https://www.dropbox.com/s/137aaahvbniau9q/problem_4_data.txt


© МИАН, 2026