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.