Antagonistic games with interval parameters

被引:5
作者
Levin, VI [1 ]
机构
[1] Penza Technol Inst, Penza, Russia
关键词
antagonistic games; interval parameters; matrix game; lower boundary game; upper boundary game; Von Neumann theorem;
D O I
10.1007/BF02835860
中图分类号
TP3 [计算技术、计算机技术];
学科分类号
0812 ;
摘要
Antagonistic (matrix) games with payoff matrices given to within an interval are considered. The necessary and sufficient conditions of existence of solutions of such games are established. It is shown that the basic theorem of the Von Neumann theory is not valid for such games. The method of solution of an interval game by reducing it to two boundary exact games is proposed.
引用
收藏
页码:644 / 652
页数:9
相关论文
共 5 条
[1]  
ALEFELD G, 1987, INTRO INTERVAL COMPU
[2]  
Levin V. I., 1992, AVTOMAT TELEMEKH, P97
[3]  
LEVIN VI, 1989, P 12 S LOG CONTR US, P20
[4]  
Rozen V. V., 1976, Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, V16, P1436
[5]  
von Neumann J., 1947, THEORY GAMES EC BEHA