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考虑生产同质产品的Ⅳ个制造商生产策略的演化性态,每个制造商可选择利润最大化或者收入最大化两种生产策略.基于Moran过程的固定点概率,计算出在有限个制造商中,利润最大化生产策略和收入最大化生产策略成功入侵的概率,计算只有一个个体选择利润最大化或收入最大化生产策略时,单个制造商分别选择两种策略之一所得的期望收益,认为选择行为支持收益较大的策略入侵.在选择行为支持策略入侵与取代的意义下,分别得到利润最大化生产策略和收入最大化生产策略占优的条件.研究发现,制造商生产策略的选择取决于制造商的总体数量和其生产成本因子.若生产成本因子很小,则收入最大化策略是更合适的生存策略;若生产成本因子较小,在制造商数量少时,收入最大化生产策略占优;若生产成本因子较大,则制造商数量多时,利润最大化策略占优,制造商数量少时,收入最大化策略是占优策略.进一步通过数值例子发现,若制造商数量一定,在生产成本因子比较小时,收入最大化生产策略是占优策略,当生产成本因子比较大时,利润最大化生产策略是占优策略;若生产成本因子很大,则利润最大化策略是更合适的生存策略.
Considering the evolutionary nature of the production strategies of the four manufacturers producing homogenous products, each manufacturer can choose two production strategies: profit maximization or revenue maximization. Based on the fixed-point probability of the Moran process, it is calculated in a limited number of manufacturers. In the case of a profit-maximizing production strategy and a probability of successful intrusion of an income-maximizing production strategy, when only one individual chooses a profit maximization or income maximization production strategy, a single manufacturer selects the expected return from one of the two strategies, and considers that Choosing behaviors to support strategic gains with greater benefits. In the sense of selecting behavioral support strategies for intrusion and substitution, the conditions for profit-maximizing production strategies and revenue-maximizing production strategies are dominant. The study found that the choice of manufacturers’ production strategies depends The total number of manufacturers and their production cost factor. If the production cost factor is small, then the revenue maximization strategy is a more appropriate survival strategy; if the production cost factor is small, when the number of manufacturers is small, the revenue maximizing production strategy accounts for the Excellent; if the production cost factor is large, the profit maximization strategy prevails when the number of manufacturers is large, and the number of manufacturers In a short time, the revenue maximization strategy is a dominant strategy. Further numerical examples show that if the number of manufacturers is fixed and the production cost factor is relatively small, the revenue maximizing production strategy is the dominant strategy. When the production cost factor is relatively large, the profit is maximum. The production strategy is a dominant strategy; if the production cost factor is large, the profit maximization strategy is a more appropriate survival strategy.