This paper, using the different alternative methods of dynamic optimization (the Lagrange/Kuhn-Tucker (LKT) method, the substitution method, the Hamiltonian method, and the dynamic programming approach) derives the conditions that must be satisfied by the solution to the so-called Ramsey...

This paper, using the different alternative methods of dynamic optimization - the Lagrange/Kuhn-Tucker (LKT) method, the substitution method, the Hamiltonian method, and the dynamic programming approach - derives the conditions that must be satisfied by the solution to the so-called Ramsey...

This paper, using the different alternative methods of dynamic optimization (the Lagrange/Kuhn-Tucker (LKT) method, the substitution method, the Hamiltonian method, and the dynamic programming approach) derives the conditions that must be satisfied by the solution to the so-called Ramsey...

We expose a weakness in an intuitive description popularly associated with the method of Lagrange multipliers and propose an alternative intuition. According to the deficient intuition, the Lagrange technique transforms a constrained optimization problem into an unconstrained optimization...

<Para ID="Par1">We discuss a certain special subset of Lagrange multipliers, called critical, which usually exist when multipliers associated to a given solution are not unique. This kind of multipliers appear to be important for a number of reasons, some understood better, some (currently) not fully. What is...</para>

Introducing one additional element due to possible misfortune to the return of each of two assets in the basic model of Samuelson (Rev.Econom.Statist.51 (1969)239)on optimum portfolio and consumption decisions,this paper resolves both the excess equity premium and the excess consumption...