运筹与管理 ›› 2017, Vol. 26 ›› Issue (11): 105-110.DOI: 10.12005/orms.2017.0267

• 应用研究 • 上一篇    下一篇

基于Moran过程的消费者众筹策略演化动态

王先甲1, 何奇龙1, 全吉2, 顾翠伶3   

  1. 1.武汉大学 经济与管理学院,湖北 武汉 430072;
    2.武汉理工大学 管理学院,湖北 武汉 430072;
    3.武汉大学 水利水电学院,湖北 武汉 430072;
  • 收稿日期:2016-04-03 出版日期:2017-11-25
  • 作者简介:王先甲(1957-),男,湖北汉川人,教授,博士生导师,研究方向:博弈论、决策分析;何奇龙(1985-),男,河南郸城人,博士研究生,研究方向:博弈论、互联网众筹;全吉(1983-),男,副教授,博士,湖北襄阳人,研究方向:演化博弈论、复杂系统仿真。
  • 基金资助:
    国家自然科学基金重点资助项目(71231007);国家自然科学基金资助项目(71501149)

Evolutionary Dynamics of Consumers’ crowdfunding Strategies Based on Moran Process

WANG Xian-jia1, HE Qi-long1, QUAN Ji2, GU Cui-ling3   

  1. 1.School of Economics and Management, Wuhan University, Wuhan 430072, China;
    2.School of Management, Wuhan University of Technology,Wuhan 430072, China;
    3.School of Water Resources and Hydropower Engineering,Wuhan University,Wuhan 430072, China;
  • Received:2016-04-03 Online:2017-11-25

摘要: 考虑混合均匀的N个消费者众筹策略演化动态,每个消费者可选择参与众筹或者不参与众筹两个策略。基于Moran过程的扎根概率,计算出有限消费者群体中,参与众筹策略和不参与众筹策略成功入侵的概率。比较个体扎根的概率和中性入侵的概率大小,分别得到两策略在强选择性和弱选择性强度下占优的条件。研究发现,强选择性条件下,消费者数量小于某个数值时,不参与众筹策略演化稳定侵占整个种群,众筹融资失败。弱选择性条件下,消费者依据净收益和支出成本两因素决定是否参与众筹,净收益大于支出成本三倍,演化稳定于众筹成功,净收益小于支出成本二分之三倍,演化稳定于众筹失败。

关键词: 演化博弈, 众筹, Moran过程, 扎根概率

Abstract: Consider the evolutionary dynamics of N homogeneous mixed consumers’ crowdfunding strategies, and each consumer could choose to participate in the crowdfunding or not. Based on Moran process, we obtain the fixation probability of participating and nonparticipating in the crowdfunding when the consumer groups are finite. Comparing the fixation probability of just one individual who takes the participating or nonparticipating in crowdfunding strategy with the neutral invasion probability, we obtain the conditions of the dominant strategy under the strong selectivity and the weak selectivity. Under the condition of strong selectivity, we find that when consumer size is less than some numerical value , nonparticipating strategy occupies the whole population, and the crowdfunding is a failure. Under the condition of weak selectivity, whether consumers choose the crowdfunding strategy depends on the net revenue and outlay cost. Evolution is stable in crowdfunding getting success ,when the net revenue is greater than the triple of the outlay cost. Evolution is stable in crowdfunding getting failure, when the net revenue is less than half of the triple of the outlay cost.

Key words: crowdfunding, evolutionary game, moran process, fixation probability

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