"Many economic problems are dynamic optimization problems
in which choices are linked over time,
for example
a government deciding tax rates over time subject to an intertemporal budget constraint.
Whatever solution approach one employs
— the calculus of variations, optimal control theory or dynamic programming —
part of the solution is typically an Eulerequation
which viewed as a condition of choice optimality
has this property:
part of the solution is typically an Eulerequation
which viewed as a condition of choice optimality
has this property:
any marginal, temporary and feasible change in behavior
has marginal benefits equal to marginal costs in the present and future."
" Assuming the original problem satisfies regularity conditions,
the Euler equation is a necessary but not sufficient condition for an optimum. "
in other words
"An Euler equation is a difference or differential equation that is an intertemporal first-order condition
for a dynamic choice problem.
It describes the evolution of economic variables along an optimal path.
It is a necessary but not sufficient condition for a candidate optimal path,
and so is useful for partially characterizing the theoretical implications
of a range of models for dynamic behaviour"
that's about it ...or there abouts
has marginal benefits equal to marginal costs in the present and future."
" Assuming the original problem satisfies regularity conditions,
the Euler equation is a necessary but not sufficient condition for an optimum. "
in other words
"An Euler equation is a difference or differential equation that is an intertemporal first-order condition
for a dynamic choice problem.
It describes the evolution of economic variables along an optimal path.
It is a necessary but not sufficient condition for a candidate optimal path,
and so is useful for partially characterizing the theoretical implications
of a range of models for dynamic behaviour"
that's about it ...or there abouts