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A player's strategy at <math>t\,</math> describes what he will do given all possible histories <math>H_t\,</math>, where <math>H_t\,</math> is made up of the choices of nature <math>N_t\,</math> and the action sets of both players <math>A_{At}\,</math> and <math>A_{Bt}\,</math>, where <math>N_t = (n_1, \ldots, n_t)\,</math> and <math>A_{At} = (A_{A1}, \ldots, A_{A(t-1)}\,</math>, and likewise for <math>A_{Bt}\,</math>. The game is one of complete information.
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