自然条件下同级消费者中种群平均规模的博弈论研究  

Game Theory Study on Average Scale of Population in Same Level Consumers Under Natural Condition

作　　者：姜殿玉[1,2,3] 张盛开[2] 丁德文[3] 

机构地区：[1]淮海工学院数理科学系 [2]大连轻工业学院,运筹管理研究所,辽宁大连116034 [3]大连海事大学环境科学与工程学院

出　　处：《生物数学学报》2006年第2期233-236,共4页Journal of Biomathematics

基　　金：国家自然科学基金资助课题(78970025);江苏省高校自然科学研究计划项目(05KJD110027)

摘　　要：给出了一种新的博弈——非合作n人条件博弈,并给出了它的求解方法．以这种博弈为工具,在适当的假定下研究了无人类的理想地域上同级消费者中各个种群的平均规模．结论是:当个体的平均食量充分小时,该种群的平均规模等于前一级消费者或生产者的最大承受量;否则该种群的平均规模与前一级消费者或生产者的最大承受量成正比,与个体的平均食量和该级消费者中种群的数目都成反比．In this paper, we give a new game, n-person non-cooperative condition game, and its algorithm. By this game tool, we study average scale of population in same level consumers on an ideal region without mankind under a suitable assumption. Our result is the follows. Average scale of a population is the greatest load of the front level consumer or producer if average capacity for eating of its individual is sufficiently small. If not, average scale of the population is directly proportion to the greatest load of the front level consumer or producer, and it is inversely proportion to average capacity for eating of its individual and to number of populations in the level.

关 键 词：n人非合作条件博弈 同级消费者 平均规模 平均食量 最大承受量 

分 类 号：O225[理学—运筹学与控制论] X171[理学—数学]