具有文化再生产的生长系统中的合作及其出现
Cooperation and its emergence in growing systems with cultural reproduction
摘要：
我们将在进化博弈论的框架下探讨合作的出现。首先，我们介绍了合作的问题，在一个新的方式，我们相信它有重要的后果，在如何解决问题。然后，我们提出了一个最小的模型，在不断增长的系统中出现的合作与文化复制的拓扑结构和战略的演变是解耦的，而不是一个共同进化的动态。我们证明了当系统生长时，存在文化再生产和个体以合作为第一策略的非零概率;对于任意的自然选择强度，都存在建立具有真实拓扑结构的合作系统的条件.当系统很小时，合作是不稳定的，但一旦系统达到一个足够明确的拓扑结构，其大小主要取决于自然选择的强度，成为稳定的。通过这种方式，我们减少了文化复制系统的合作问题的出现，以证明一个小的初始合作结构，我们称之为合作种子。否则，由于系统主要作为合作者增长，其合作者居住在系统的最链接的部分，合作所需的条件普遍进入系统相比，在静态网络中发现的那些大大减少。
英文摘要：
We explore the emergence of cooperation in the framework of evolutionary game theory. First we introduce the cooperation problem in a novel way that we believe it have important consequences in how problem is addressed. Then we present a minimal model for the emergence of cooperation in growing systems with cultural reproduction where topological structure and the evolution of strategies are decoupled instead a coevolution dynamic. We show that when system grows, there exists cultural reproduction and a nonzero probability that individuals take cooperation as first strategy; there are conditions to build up a cooperative system with real topological structures for any natural selection intensity. When the system is small cooperation is unstable but become stable as soon as the system reaches an enough well defined topological structure which size mainly depends on the intensity of natural selection. In this way, we reduce the emergence of cooperation problem for systems with cultural reproduction to justify a small initial cooperative structure, what we call cooperative seed. Otherwise, given that the system grows principally as cooperator whose cooperators inhabit the most linked parts of the system, the condition required to cooperation prevails into the systems are drastically reduced compared to those found in statics networks.
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