Am writing an economics paper wherein defining a dummy variable as a taking the value one if the value of one variable is greater than the mode of another.
What would be the best way to write this formally?
I thought perhaps $$ Y_i=1 \mbox{ if }\, X_i>\mathrm{argmax}\, X_j \; \forall\, i \,in \, j $$
but this seems like overkill for something as simple as the mode.
All thoughts appreciated on this vital philosophical q!
