@article{SJIM_2008_11_2_a11,
author = {V. I. Shmyrev},
title = {{\CYRO}{\cyrb} {\cyro}{\cyrd}{\cyrn}{\cyro}{\cyrm} {\cyra}{\cyrl}{\cyrg}{\cyro}{\cyrr}{\cyri}{\cyrt}{\cyrm}{\cyre} {\cyro}{\cyrt}{\cyrery}{\cyrs}{\cyrk}{\cyra}{\cyrn}{\cyri}{\cyrya} {\cyrr}{\cyra}{\cyrv}{\cyrn}{\cyro}{\cyrv}{\cyre}{\cyrs}{\cyri}{\cyrya} {\cyrv}~{\cyrl}{\cyri}{\cyrn}{\cyre}{\cyrishrt}{\cyrn}{\cyro}{\cyrishrt} {\cyrm}{\cyro}{\cyrd}{\cyre}{\cyrl}{\cyri} {\cyro}{\cyrb}{\cyrm}{\cyre}{\cyrn}{\cyra} {\cyrs}~{\cyrf}{\cyri}{\cyrk}{\cyrs}{\cyri}{\cyrr}{\cyro}{\cyrv}{\cyra}{\cyrn}{\cyrn}{\cyrery}{\cyrm}{\cyri} {\cyrb}{\cyryu}{\cyrd}{\cyrzh}{\cyre}{\cyrt}{\cyra}{\cyrm}{\cyri}},
journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
pages = {139--154},
year = {2008},
volume = {11},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/SJIM_2008_11_2_a11/}
}
TY - JOUR AU - V. I. Shmyrev TI - Об одном алгоритме отыскания равновесия в линейной модели обмена с фиксированными бюджетами JO - Sibirskij žurnal industrialʹnoj matematiki PY - 2008 SP - 139 EP - 154 VL - 11 IS - 2 UR - http://geodesic.mathdoc.fr/item/SJIM_2008_11_2_a11/ LA - ru ID - SJIM_2008_11_2_a11 ER -
V. I. Shmyrev. Об одном алгоритме отыскания равновесия в линейной модели обмена с фиксированными бюджетами. Sibirskij žurnal industrialʹnoj matematiki, Tome 11 (2008) no. 2, pp. 139-154. http://geodesic.mathdoc.fr/item/SJIM_2008_11_2_a11/
[1] Shmyrev V. I., “Ob odnom podkhode k otyskaniyu ravnovesiya v prosteishikh modelyakh obmena”, Dokl. AN SSSR, 268:5 (1983), 1062–1066 | MR | Zbl
[2] Eaves B. C., “A finite algorithm for the linear exchangemodel”, J. Math. Econom., 3:2 (1976), 197–204 | DOI | MR
[3] Lemke C. E., “Bimatrix equilibrium points and math. programming”, Manag. Sci., 2:7 (1965), 681–689 | DOI | MR
[4] Shmyrev V. I., Shmyreva N. V., “An iterative algorithm for searching an equilibrium in the linear exchange model”, Siberian Adv. Math., 6:1 (1996), 87–104 | MR
[5] Shmyrev V. I., “Algoritmy otyskaniya ravnovesiya v modelyakh obmena s fiksirovannymi byudzhetami”, Optimizatsiya, 1983, no. 31(48), 137–155 | MR | Zbl
[6] Shmyrev V. I., “An algorithmic approach for searching an equilibrium in fixed budget exchange models”, Russian Contributions to Game Theory and Eqilibrium Theory, Springer–Verlag, Berlin, 2006, 217–235
[7] Golshtein E. G., Yudin D. B., Zadachi transportnogo tipa, Nauka, M., 1969
[8] Gale D., “The linear exchange model”, Math. Econom., 3:2 (1976), 205–209 | DOI | MR | Zbl
[9] Geil D., Teoriya lineinykh ekonomicheskikh modelei, Izd-vo inostr. lit., M., 1963
[10] Shmyrev V. I., “Algoritm poiska ravnovesiya v lineinoi modeli obmena”, Sib. mat. zhurn., 26:2 (1985), 163–175 | MR
[11] Rokafellar R. T., Vypuklyi analiz, Mir, M., 1973
[12] Shmyrev V. I., Vvedenie v matematicheskoe programmirovanie, Izd. In-ta kompyuternykh issledovanii, M., 2002
[13] Rubinshtein G. Sh., Shmyrev V. I., “Metody minimizatsii kvazivypuklykh funktsii na vypuklom mnogogrannike”, Optimizatsiya, 1971, no. 1, 82–117
[14] Dantzig G. B., Cottle R. W., “Positive (semi-)definite programming”, Nonlinear Programming, Noth-Holland, Amsterdam, 1967, 55–73 | MR