Her utility is a direct mapping of the outcome of the bet—what path of communication does Bob’s expected value take to get to her?
I am not quite sure what you mean about this, but I had Alice and Bob discuss at the begining so that Alice would know Bob’s probability, and I was assuming utility of the dollar was positive. That is all she needs to know Bob’s (normalized) expected value.
I am not quite sure what you mean about this, but I had Alice and Bob discuss at the begining so that Alice would know Bob’s probability, and I was assuming utility of the dollar was positive. That is all she needs to know Bob’s (normalized) expected value.