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We explore the emergence of cooperation in the framework of evolutionary gametheory. First we introduce the cooperation problem in a novel way that webelieve it have important consequences in how problem is addressed. Then wepresent a minimal model for the emergence of cooperation in growing systemswith cultural reproduction where topological structure and the evolution ofstrategies are decoupled instead a coevolution dynamic. We show that whensystem grows, there exists cultural reproduction and a nonzero probability thatindividuals take cooperation as first strategy; there are conditions to buildup a cooperative system with real topological structures for any naturalselection intensity. When the system is small cooperation is unstable butbecome stable as soon as the system reaches an enough well defined topologicalstructure which size mainly depends on the intensity of natural selection. Inthis way, we reduce the emergence of cooperation problem for systems withcultural reproduction to justify a small initial cooperative structure, what wecall cooperative seed. Otherwise, given that the system grows principally ascooperator whose cooperators inhabit the most linked parts of the system, thecondition required to cooperation prevails into the systems are drasticallyreduced compared to those found in statics networks.

Cooperation and its emergence in growing systems with cultural reproduction