Another related, much older reference is from Ramsey's Truth and Probability (1926) in which he relates risk attitudes to preferences over repeated experiences (it's in the single person case however):
"We can put this in a different way. Suppose his degree of belief in p is mn ; then his action is such as he would choose it to be if he had to repeat it exactly n times, in m of which p was true, and in the others false. [Here it may be necessary to suppose that in each of the n times he had no memory of the previous ones.]"
Another related, much older reference is from Ramsey's Truth and Probability (1926) in which he relates risk attitudes to preferences over repeated experiences (it's in the single person case however):
"We can put this in a different way. Suppose his degree of belief in p is mn ; then his action is such as he would choose it to be if he had to repeat it exactly n times, in m of which p was true, and in the others false. [Here it may be necessary to suppose that in each of the n times he had no memory of the previous ones.]"