Intelligent Minority Game with genetic-crossover strategies

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We develop a game theoretical model of N heterogeneous interacting agents called the intelligent minority game. The ``intelligent'' agents play the basic minority game and depending on their performances, generate new strategies using the one-point genetic crossover mechanism. The performances change dramatically and the game moves rapidly to an efficient state (fluctuations in the number of agents performing a particular action, characterized by σ², reaches a low value). There is no ``phase transition'' when we vary σ²/N with 2ᵐ/N, where M is the ``memory''of an agent.