Pni ¼ PrðVni þ eni > enÞ ¼ eVni
1 þ eVni
:
Let Sn denote the set of alternatives that decision maker n selected and yni = 1 if individual n chose alternative i and zero
otherwise. In other words, Sn = {i|yni = 1}. Then the joint probability of choice is found as: