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Definition of Bellman Equation

From Econterms, About.com Guest

Definition: A Bellman equaion is any value or flow value equation. For a discrete problem it can generally be of the form:

v(k) = max over k' of { u(k,k') + b*v(k') }

where:

u() is the one-period return function (e.g., a utility function) and
v() is the value function and
k is the current state and
k' is the state to be chosen and
b is a scalar real parameter, the discount rate, generally slightly less than one.(Econterms)

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