节点文献
一类线性交叉规划问题均衡解的存在性
THE EXISTENCE OF THE EQUILIBRIUM SOLUTION OF A CLASS OF LINEAR INTERACTION PROGRAMMING PROBLEM
【摘要】 对经济活动中一类由 2个处于平等地位的经济决策人参与决策的决策行为抽象出数学模型 ,发现它实际上是由 2个参数规划构成的交叉规划问题 ,针对这一模型 ,讨论了其均衡解的存在性 .
【Abstract】 Based on the research to the economic systems which involve two equal planners, the authers present a kind of linear interaction mathematical programming problem.(LIPP for abbr.).It’s easy to find that the LIPP is composed of two parametric programming problems. The existence of its equilibrium solution is proved by using the fixed point theory of the point-to-set contraction mapping.
【关键词】 交叉规划;
均衡解;
压缩映射;
不动点;
【Key words】 interaction programming; equilibrium solution; contraction mapping; fixed point;
【Key words】 interaction programming; equilibrium solution; contraction mapping; fixed point;
- 【文献出处】 曲阜师范大学学报(自然科学版) ,Journal of Qufu Normal University(Natural Science) , 编辑部邮箱 ,2002年02期
- 【分类号】O221.2
- 【被引频次】7
- 【下载频次】43