Evolution and the theory of games
Evolution and the theory of games
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DOI：
10.1007/978-1-4684-7862-4_22
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发表时间：
1976
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影响因子：
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通讯作者：
John Maynard Smith
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文献类型：
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作者：
John Maynard Smith
我想在这篇文章中追溯一个想法的历史。人们开始清楚，进化论中的一系列问题最适合通过修改博弈论来解决，博弈论是冯·诺依曼和摩根斯特恩于 1944 年首次提出的数学分支，用于分析人类冲突。问题是多种多样的，不仅包括动物在竞争情况下的行为，还包括遗传机制进化和生态系统进化的一些问题。然而，仅仅继承社会学中发展起来的理论并将其应用于进化论还不够。在社会学和经济学中，假设每个参赛者都通过推理来制定最佳策略，并假设他的对手同样受到理性的指导。这就引出了“最小最大”策略的概念，其中参赛者的行为方式是在假设对手的行为方式是最大化损失的情况下，尽量减少自己的损失。显然，这不是解决动物冲突的有效方法。必须引入一个新概念，即“进化稳定策略”的概念。
I want in this article to trace the history of an idea. It is beginning to become clear that a range of problems in evolution theory can most appropriately be attacked by a modification of the theory of games, a branch of mathematics first formulated by Von Neumann and Morgenstern in 1944 for the analysis of human conflicts. The problems are diverse and include not only the behaviour of animals in contest situations but also some problems in the evolution of genetic mechanisms and in the evolution of ecosystems. It is not, however, sufficient to take over the theory as it has been developed in sociology and apply it to evolution. In sociology, and in economics, it is supposed that each contestant works out by reasoning the best strategy to adopt, assuming that his opponents are equally guided by reason. This leads to the concept of a ‘minimax’ strategy, in which a contestant behaves in such a way as to minimise his losses on the assumption that his opponent behaves so as to maximise them. Clearly, this would not be a valid approach to animal conflicts. A new concept has to be introduced, the concept of an ‘evolutionary stable strategy’.