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

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.