Dominant strategy equilibrium, Applied Statistics

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Consider the following game:

1730_Dominant Strategy Equilibrium.png

(a) If (top, left) is a Weakly Dominant Strategy Equilibrium, then what inequalities must hold among (a, ..., h)?

(b) If (top, left) is a Nash equilibrium, then what inequalities must hold among (a, ..., h)?

(c) If (top, left) is a Weakly Dominant Strategy Equilibrium, must it be a Nash equilibrium?


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