15.5. Consider the game matrix given here. Player B Left Right Top Player A a, b G,d Bottom e, f g, h (a) If (top, left) is a dominant strategy equilibrium, then what inequal- ities must hold among a, ..., h? (b) If (top, left) is a Nash equilibrium, then which of the above inequal- ities must be satisfied? (c) If (top, left) is a dominant strategy equilibrium, must it be a Nash equilibrium