Network formation by reinforcement learning: the long and medium run

Details Network formation by reinforcement learning: the long and medium run Network formation by reinforcement learning: the long and medium run

2004-04-05

arxiv.org/abs/math/0404106v1

Mathematics

Probability

14 pages

Scientific paper

We investigate a simple stochastic model of social network formation by the process of reinforcement learning with discounting of the past. In the limit, for any value of the discounting parameter, small, stable cliques are formed. However, the time it takes to reach the limiting state in which cliques have formed is very sensitive to the discounting parameter. Depending on this value, the limiting result may or may not be a good predictor for realistic observation times.

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