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Feb 26, 2016 at 2:15 comment added johneric Thanks. This is very helpful. I realized that I had left out a key piece of information above and have revised my question. Specifically, the outcomes I observe are conditional on the choice. Thus, if I observe $E$, I see the outcomes, which gives me some information about what their actual choice was. I have edited my question to better reflect the problem and hand. Thanks
Feb 26, 2016 at 1:28 history answered Dalton Hance CC BY-SA 3.0