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Noncooperative sequential games, including the noncooperative stochastic game of Rogers (1969) and Sobel (1971), are investigated in the monotone contraction operator framework of Denardo (1967). Sufficient conditions are determined for the existence of equilibrium points in this setting. Techniques for comparing and, approximating dynamic programs previously developed by the author are then applied to these sequential games, yielding conditions for the existence of ε-equilibrium points.
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Ward Whitt (1980) studied this question.
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