Computer Science – Computer Science and Game Theory
Scientific paper
2012-01-10
Computer Science
Computer Science and Game Theory
15 pages, 2 figures
Scientific paper
We explore the emergence of cooperation in the framework of the evolutionary game theory. 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 of a coevolutionary dynamic. We show minimal 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 becomes stable as soon as the system reaches a suffciently well defined topological structure which size mainly depends on the intensity of natural selection. Thus, we reduce the emergence of cooperation for systems with cultural reproduction to justify a small initial cooperative structure that we call cooperative seed. Otherwise, given that the system grows principally as cooperator whose cooperators inhabit the most linked parts of the system, the conditions required for cooperation prevails into the systems are drastically reduced compared to those found in static networks. In this way, we show that the process of growth is essential for cooperation.
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