ABSTRACT

Rhoda’s pattern of preferences violates the STP. Where f is any act that yields 1000 utils if Tickets 1-11 are drawn, and g is any act that yields 0 utils if Ticket 1 is drawn and 2000 utils if Tickets 2-11 are drawn, and E is the proposition that one of Tickets 1-11 is drawn, we have

and so by Savage’s STP, we have the requirement that L 1 ≻ L

2 iff L

3 ≻ L

4 . Rhoda’s

preferences violate this biconditional, and hence Savage’s STP, and hence STP.