生境丧失对空间囚徒困境博弈的影响

J4 ›› 2012, Vol. 47 ›› Issue (5): 98-102.

生境丧失对空间囚徒困境博弈的影响

张丰盘¹, 汪俭彬^2, 杜书德³

1. 河南大学数学与信息科学学院,应用数学研究所,河南开封 475001;
2. 济源职业技术学院基础部, 河南济源 454650;
3. 南阳理工学院应用数学系, 河南南阳 473004

收稿日期:2012-01-13 出版日期:2012-05-20 发布日期:2012-06-01
作者简介:张丰盘(1974- ), 男, 博士, 副教授, 研究方向为数学生态学. Email: fpzhang@henu.edu.cn
基金资助:
国家自然科学基金资助项目(11126157);河南省基础与前沿技术研究项目(102300410205)。

The effects of habitat loss on the spatial PD game

ZHANG Feng-pan¹, WANG Jian-bin², DU Shu-de³

1. School of Mathematics and Information Sciences, Henan University， Kaifeng 475001, Henan, China;
2. Jiyuan Vocational and Technical College, Jiyuan 454650, Henan, China;
3. Department of Applied Mathematics, Nanyang Institute of Technology, Nanyang 473004, Henan, China

Received:2012-01-13 Online:2012-05-20 Published:2012-06-01

摘要/Abstract

摘要：

囚徒困境博弈是研究生物进化博弈中合作维持机制的一个主要理论框架。空间结构能够促进合作行为的维持。基于集合种群理论建立空间囚徒困境博弈模型, 研究了生境丧失对合作和欺骗行为及整个种群动态的影响。结果表明适度的生境丧失有利于合作的维持, 并且随着生境丧失的加重, 在种群灭绝之前种群数量有一个临时的增加,这说明行为策略的多样性是生物面临多变环境的一种防御机制。

关键词: 囚徒困境博弈；生境丧失；元胞自动机；合作进化

Abstract:

The Prisoner′s Dilemma (PD) game is the main theoretical framework in which the maintenance of cooperation in biological populations was studied. Spatial structure serves as the key to this dilemma. A model of a spatial PD game under a metapopulation framework was built, and the effects of habitat loss on cooperation and population size were studied. The main results were that, due to moderate habitat loss, the fraction of cooperators in the population was enhanced. Moreover, the population size may undergo a temporary period of prosperity just before extinction even while the habitat loss was increased. These implied that the multibehavior strategy within a population may be a mechanism to defend against the influences of the changing environment.

Key words: prisoner′s dilemma; habitat loss; cellular automation; cooperation evolution

张丰盘1, 汪俭彬2, 杜书德3. 生境丧失对空间囚徒困境博弈的影响[J]. J4, 2012, 47(5): 98-102.

ZHANG Feng-pan1, WANG Jian-bin2, DU Shu-de3. The effects of habitat loss on the spatial PD game[J]. J4, 2012, 47(5): 98-102.

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