Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

doi:10.1088/1674-1056/22/5/058201

中国物理B ›› 2013, Vol. 22 ›› Issue (5): 58201-058201.doi: 10.1088/1674-1056/22/5/058201

• INTERDISCIPLINARY PHYSICS AND RELATED AREAS OF SCIENCE AND TECHNOLOGY • 上一篇下一篇

Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

林振权^{a b}, 叶高翔^{a c}

a Department of Physics, Zhejiang University, Hangzhou 310027, China;
b Department of Physics, Wenzhou University, Wenzhou 325035, China;
c Department of Physics, Hangzhou Normal University, Hangzhou 310036, China

收稿日期:2012-07-14 修回日期:2012-11-06 出版日期:2013-04-01 发布日期:2013-04-01
基金资助:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 11175131).

Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

Lin Zhen-Quan (林振权)^{a b}, Ye Gao-Xiang (叶高翔)^{a c}

a Department of Physics, Zhejiang University, Hangzhou 310027, China;
b Department of Physics, Wenzhou University, Wenzhou 325035, China;
c Department of Physics, Hangzhou Normal University, Hangzhou 310036, China

Received:2012-07-14 Revised:2012-11-06 Online:2013-04-01 Published:2013-04-01
Contact: Lin Zhen-Quan E-mail:linzhenquan@yahoo.com.cn
Supported by:
Project supported by the National Natural Science Foundation of China (Grant Nos. 10875086 and 11175131).

摘要/Abstract

摘要： We propose an evolution model of cooperative agent and noncooperative agent aggregates to investigate the dynamic evolution behaviors of the system and the effects of the competing microscopic reactions on the dynamic evolution. In this model, each cooperative agent and noncooperative agent are endowed with integer values of cooperative spirits and noncooperative spirits, respectively. The cooperative spirits of a cooperative agent aggregate and the noncooperative spirits of a noncooperative agent aggregate change via four competing microscopic reaction schemes: the win-win reaction between two cooperative agents, the lose-lose reaction between two noncooperative agents, the win-lose reaction between a cooperative agent and a noncooperative agent (equivalent to the migration of spirits from cooperative agents to noncooperative agents), and the cooperative agent catalyzed decline of noncooperative spirits. Based on the generalized Smoluchowski's rate equation approach, we investigate the dynamic evolution behaviors such as the total cooperative spirits of all cooperative agents and the total noncooperative spirits of all noncooperative agents. The effects of the three main groups of competition on the dynamic evolution are revealed. These include: (i) the competition between the lose-lose reaction and the win-lose reaction, which give rise to respectively the decrease and increase in the noncooperative agent spirits; (ii) the competition between the win-win reaction and the win-lose reaction, which give rise to respectively the increase and decrease in the cooperative agent spirits; (iii) the competition between the win-lose reaction and the catalyzed-decline reaction, which give rise to respectively the increase and decrease in the noncooperative agent spirits.

关键词: dynamic evolution in competitive societies, cooperative and noncooperative agents, win-win and lose-lose reaction, win-lose reaction

Abstract: We propose an evolution model of cooperative agent and noncooperative agent aggregates to investigate the dynamic evolution behaviors of the system and the effects of the competing microscopic reactions on the dynamic evolution. In this model, each cooperative agent and noncooperative agent are endowed with integer values of cooperative spirits and noncooperative spirits, respectively. The cooperative spirits of a cooperative agent aggregate and the noncooperative spirits of a noncooperative agent aggregate change via four competing microscopic reaction schemes: the win-win reaction between two cooperative agents, the lose-lose reaction between two noncooperative agents, the win-lose reaction between a cooperative agent and a noncooperative agent (equivalent to the migration of spirits from cooperative agents to noncooperative agents), and the cooperative agent catalyzed decline of noncooperative spirits. Based on the generalized Smoluchowski's rate equation approach, we investigate the dynamic evolution behaviors such as the total cooperative spirits of all cooperative agents and the total noncooperative spirits of all noncooperative agents. The effects of the three main groups of competition on the dynamic evolution are revealed. These include: (i) the competition between the lose-lose reaction and the win-lose reaction, which give rise to respectively the decrease and increase in the noncooperative agent spirits; (ii) the competition between the win-win reaction and the win-lose reaction, which give rise to respectively the increase and decrease in the cooperative agent spirits; (iii) the competition between the win-lose reaction and the catalyzed-decline reaction, which give rise to respectively the increase and decrease in the noncooperative agent spirits.

Key words: dynamic evolution in competitive societies, cooperative and noncooperative agents, win-win and lose-lose reaction, win-lose reaction

中图分类号: (Chemical kinetics and dynamics)

82.20.-w

87.23.Ge (Dynamics of social systems) 05.40.-a (Fluctuation phenomena, random processes, noise, and Brownian motion) 68.43.Jk (Diffusion of adsorbates, kinetics of coarsening and aggregation)

林振权, 叶高翔. Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents[J]. 中国物理B, 2013, 22(5): 58201-058201.

Lin Zhen-Quan (林振权), Ye Gao-Xiang (叶高翔). Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents[J]. Chin. Phys. B, 2013, 22(5): 58201-058201.

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Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

Dynamic aggregation evolution of competitive societies of cooperative and noncooperative agents

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