The Michael addition is simply the conjugate addition of an enolate nucleophile to an α, β-unsaturated carbonyl compound. Protonation of the initial intermediate gives a chain-extended product. Any sufficiently electron-withdrawing group on the acceptor double bond will allow this reaction to proceed. We can generalize the behavior of different nucleophiles as follows:
Like acidity and basicity, "hardness" and "softness" are relative measures. The utility of thinking this way is that a hard nucleophile will react fastest with a hard electrophile, and a soft nucleophile with a soft electrophile. In the context of the Michael addition, the carbonyl carbon is a "harder" electrophile, and the β-position is a "softer" electrophile. Take a look at a series of Michael acceptors. In these plots, the LUMO is mapped onto the electron density surface, so that the blue regions are the areas of best electron-accepting ability, while the red regions are not electron accepting.
Backgrounds: Black White Load LUMO density maps
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