Dynamics of a minority game with an additional layer of interaction

We analyze the variant of the minority game with an additional interaction mechanism introduced by Caridi and Ceva in [I. Caridi, H. Ceva, Physica A 339 (2004) 574], which considers a periodic square lattice of agents where some of them may share information with their neighbors. We show that low levels of interaction in this model induce the interacting agents to play with their most similar strategies (those minimizing the Hamming distance between them), hence the resulting dynamics can be replicated by introducing groups of similar one-strategy agents. We also study the reaction of non-interacting agents to the global perturbations introduced by the interacting agents, showing the emergence of cluster-detection patterns.