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Euler Equations
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Definition of Euler Equations: An Euler equation is a first order condition that is across a time or state boundary. (Across a state boundary means a tradeoff between uncertain events.) That is, a first order condition that is a relation between a variable that has different values in different periods or different states. E.g.

kt = b(1+r)kt+1

is an Euler equation, but

2nt2 - 3kt = 0

is not. (Econterms)

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