Abstract:We study the equilibrium distribution of relative strategy scores of agents in the asymmetric phase (α ≡ P/N 1) of the basic Minority Game using sign-payoff, with N agents holding two strategies over P histories. We formulate a statistical model that makes use of the gauge freedom with respect to the ordering of an agent's strategies to quantify the correlation between the attendance and the distribution of strategies. The relative score x ∈ Z of the two strategies of an agent is described in terms of a one di… Show more
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