Suppose that you are presented with the following choice:

I. In addition to whatever you own, you have been given $1000. You are now asked to choose between:

A: A sure gain of $500 

B: A 50% change to gain $1000 and a 50% chance to gain nothing.

Which do you prefer: Gamble A or Gamble B? Now, suppose that you are presented with the following choice.

II. In addition to whatever you own, you have been given $2000. You are now asked to choose between:

A*: A sure loss of $500 

B*: A 50% chance to lose $1000 and a 50% chance to lose nothing.

In experimental studies involving both of these sets of gambles, 84% of study participants chose A over B, however, 69% chose B* over A*. With which of the von Neumann-Morgenstern axioms would the results of this study seem inconsistent?