Learning to coordinate in a complex and nonstationary world.

@article{Marsili2001LearningTC,
  title={Learning to coordinate in a complex and nonstationary world.},
  author={Matteo Marsili and Roberto Mulet and Federico Ricci-Tersenghi and Riccardo Zecchina},
  journal={Physical review letters},
  year={2001},
  volume={87 20},
  pages={208701}
}
We study analytically and by computer simulations a complex system of adaptive agents with finite memory. Borrowing the framework of the minority game and using the replica formalism we show the existence of an equilibrium phase transition as a function of the ratio between the memory lambda and the learning rates Gamma of the agents. We show that, starting from a random configuration, a dynamic phase transition also exists, which prevents agents from reaching optimal coordination. Furthermore… CONTINUE READING

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