I’ve had a few discussions recently about how to think about substantive theory. What should we be looking for?
A proposal I like comes from a passing remark by Dixit in Lawlessness and Economics (2004, p. 22; link):
The aim of theory should be to construct a collection of models that is sufficiently small to be remembered and used, and covers a sufficiently large portion of the spectrum of facts.
This is not so different than Clark and Primo’s proposal of theory as map-like working approximations that we use for guidance in addressing particular problems (link). I like their view and it’s one that I endorse when discussing how theory and empirics interact in the recent JOP piece (link; ungated).
Personally, I don’t use the word “model” lightly, and I suspect that Dixit doesn’t either. When I use it I do in fact mean a formal model. An important benefit of a formal model, to me, is its low semantic ambiguity, at least when compared to verbally stated theories. There is nothing more frustrating than debating the internal consistency of a theory when everyone has a different interpretation of the terms. Of course, formalization does not solve the problem of relating the theory back to reality, but then this issue of operationalization is separate.
Jim Johnson take on non formal models put this point to rest.
Dwayne — do you have a link to a paper by chance?