I am surprised and delighted that economists found interest in my paper on non-manipulable variables. Why delighted? Because economists deal with such variables all the time. Why surprised? Because they do not have an expression comparable to E[Y|do(X=x)].(cont.) #Bookofwhy
and SUTVA forbids race, gender and even "minimum wage" to enter the privileged company of "well-defined treatments". So what do economists do? Same as other stuck people. They speak SUTVA in writing and use commonsense in practice. I hope my paper helps them speak straight.
Even economists who drifted to Rubin's camp are stuck. True, they can write Q=E[Y(x)] and pretend that it is the same as E[Y|do(x)]. But is it? Y(x) comes from Rubin's PO framework where X=x is a name of a manipulable treatment that has sworn allegiance to SUTVA. (cont.)