摘要
针对社会比较情境下强者和弱者之间产生的同情、欺凌、尊敬、嫉妒4类情感,假设情感与竞合行为之间的映射关系;基于囚徒困境博弈模型、雪堆博弈模型、猎鹿博弈模型及和谐博弈模型,建立情感演化的复制动态方程,计算系统演化的平衡点;分析平衡点的稳定性及不同参数条件下系统的演化机制,给出不同博弈模型框架下的演化方向和稳定策略。结果表明:系统可能的演化方向包括强者同情弱者及弱者尊敬强者的“敬上爱下”、强者同情弱者及弱者嫉妒强者的“劫富济贫”、强者欺凌弱者及弱者尊敬强者的“谀上欺下”和强者欺凌弱者及弱者嫉妒强者的“妒强凌弱”;系统噪声对平衡点及稳定性、个体期望收益产生影响。
In view of the sympathy,harshness,respect and jealously between the strong and the weak in the context of social comparision,the mapping relationships between emotions and cooperation-competition behavior were assumed.Based on prisoner’s dilemma game,snowdrift game,deer hunting game and harmonious game,the replicated dynamic equation of emotional evolution was established,and the equilibrium point of the system evolution was calcuted.The stability of the equilibrium point and the evolution mechanism of the system under different parameters were studied.The evolutionary directions and stable strategies under the framework of different game model were given.The results show that possible evolutionary directions include sympathy towards a weaker and respect towards a stronger,sympathy towards a weaker and jealously towards a stronger,harshness towards a weaker and jealously towards a stronger,and harshness towards a weaker and respect towards a stronger.System noise has an impact on equilibrium point stability and individual expected income.
作者
谢能刚
代亚运
暴伟
王萌
XIE Nenggang;DAI Yayun;BAO Wei;WANG Meng(School of Management Science and Engineering,Anhui University of Technology,Maanshan 243032,China;Business School,Anhui University of Technology,Maanshan 243032,China)
出处
《安徽工业大学学报（自然科学版）》
CAS
2020年第4期396-404,共9页
Journal of Anhui University of Technology（Natural Science）
基金
安徽省哲学社会科学规划项目(AHSKF2018D37)。
关键词
情感
社会比较
博弈
演化稳定策略
emotion
social comparison
game
evolutionary stabilization strategy
