In a zero-sum two player game, locations of this type are (*) Nash equilibria.
In asymptotic analysis, a method sometimes named for these locations generalizes Laplace's method for non-oscillatory complex contour integrals. That method considers the dominant contribution to the integral to occur at the boundaries or at these locations. In a zero-sum two player game, locations of this type are (*) Nash equilibria. They are the focus of the method of steepest descent and these locations are often described as mountain passes connecting valleys in one direction with peaks on either side. If the determinant of the Hessian is negative, then one of these points results by the second derivative test. In one dimension, a stationary inflection point is, for 10 points, what kind of critical point that isn't a local maximum or minimum, but where the first derivative is zero?
In asymptotic analysis, a method sometimes named for these locations generalizes Laplace's method for non-oscillatory complex contour integrals.
saddle points