Geodesic
On one coalition differential game at many target sets
Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 3-18.

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

A coalition linear differential game of several persons is considered at many target sets. The payment function of coalition is studied. The conditions of a choice of extreme strategies and optimum values of the coefficients describing the share of players in a coalition are received.
Keywords: differential games of several persons, many target sets, coalition game. 
@article{MGTA_2014_6_1_a0,
     author = {Vanya R. Barseghyan and Areg A. Stepanyan},
     title = {On one coalition differential game at many target sets},
     journal = {Matemati\v{c}eska\^a teori\^a igr i e\"e prilo\v{z}eni\^a},
     pages = {3--18},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2014},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a0/}
}
TY  - JOUR
AU  - Vanya R. Barseghyan
AU  - Areg A. Stepanyan
TI  - On one coalition differential game at many target sets
JO  - Matematičeskaâ teoriâ igr i eë priloženiâ
PY  - 2014
SP  - 3
EP  - 18
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a0/
LA  - ru
ID  - MGTA_2014_6_1_a0
ER  - 
%0 Journal Article
%A Vanya R. Barseghyan
%A Areg A. Stepanyan
%T On one coalition differential game at many target sets
%J Matematičeskaâ teoriâ igr i eë priloženiâ
%D 2014
%P 3-18
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a0/
%G ru
%F MGTA_2014_6_1_a0
Vanya R. Barseghyan; Areg A. Stepanyan. On one coalition differential game at many target sets. Matematičeskaâ teoriâ igr i eë priloženiâ, Tome 6 (2014) no. 1, pp. 3-18. http://geodesic.mathdoc.fr/item/MGTA_2014_6_1_a0/

[1] Barsegyan V. R., Simonyan T. A., Stepanyan A. A., “Gipoteticheskoe rassoglasovanie dlya odnoi differentsialnoi igry neskolkikh lits pri mnogikh tselevykh mnozhestvakh”, Izvestiya NAN RA, Mekhanika, 64:2 (2011), 63–72 | MR

[2] Vaisbord E. M., Zhukovskii V. I., Vvedenie v differentsialnye igry neskolkikh lits i ikh prilozheniya, Sovetskoe radio, M., 1980 | MR

[3] Gabrielyan M. S., “Programmnye konstruktsii dlya igrovykh zadach pri $m$ tselevykh mnozhestvakh”, Izv. AN Arm. SSR, Mekhanika, 38:3 (1985), 55–66 | MR | Zbl

[4] Karlin S., Matematicheskie metody v teorii igr, programmirovanii i ekonomike, Mir, M., 1964 | Zbl

[5] Krasovskii N. N., Subbotin A. I., Pozitsionnye differentsialnye igry, Nauka, M., 1974 | MR | Zbl

[6] Li E. B., Markus L., Osnovy teorii optimalnogo upravleniya, Nauka, M., 1972 | MR

[7] Lutmanov S. V., Kurs lektsii po metodam optimizatsii, Moskva–Izhevsk, 2001

[8] Petrov N. N., Petrov N. N., “O differentsialnoi igre ‘kazaki-razboiniki’ ”, Differentsialnye uravneniya, 19:8 (1983), 1366–1374 | MR | Zbl

[9] Petrosyan L. A., Danilov N. N., Kooperativnye differentsialnye igry i ikh prilozheniya, Izd-vo Tomsk. Un-ta, Tomsk, 1985 | MR | Zbl

[10] Satimov N. Yu., Mamatov M. Sh., “O zadachakh presledovaniya i ukloneniya ot vstrechi v differentsialnykh igrakh mezhdu gruppami presledovatelei i ubegayuschikh”, DAN Uzb. SSR, 1983, no. 4, 3–6 | MR | Zbl