Suppose that the objective function f : R n → R {\displaystyle f\colon \mathbb {R} ^{n}\rightarrow \mathbb {R} } and the constraint functions g i : R n → R {\displaysty… See more

One can ask whether a minimizer point x ∗ {\displaystyle x^{*}} of the original, constrained optimization problem (assuming one exists) has to satisfy the above KK… See more

In some cases, the necessary conditions are also sufficient for optimality. In general, the necessary conditions are not sufficient for optimality and additional information is required, s… See more

Often in mathematical economics the KKT approach is used in theoretical models in order to obtain qualitative results. For example, consider a firm that maximizes its sales reven… See more