This paper provides the algebra and a panel diagram to attempt to examine the so-called inflation- unemployment (or Phillips curve, or aggregate supply) example, the most popular example in the literature when introducing the concept of "time inconsistency" or "dynamic inconsistency". The...

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...