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:<math>Y_{t} = 1 + \alpha (1+ \beta)Y_{t-1} - \alpha \beta Y_{t-2}</math>
Samuelson demonstrated that there are several kinds of solution path for national income to be derived from this second order linear difference equation.<ref name="Mullineux 1984" /><ref name="Goldberg1958" /> This solution path changes its form, depending on the values of the roots of the equation or the relationships between the parameter <math>\alpha</math> and <math>\beta</math>.<ref name="Mullineux 1984" /><ref name="Goldberg1958" />
== Criticism ==
[[Jay Wright Forrester]] argues<ref>{{cite journal |doi=10.1002/sdr.1490 |title=Economic theory for the new millennium |author=Jay W. Forrester |date=2003}}</ref> that the Accelerator-Multiplier Theory cannot create the assumed business cycle but instead is a major contributor to the economic [[Kondratiev_wave|long wave]].
== References ==
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