There can be more than one option

Now suppose the three individuals (in the same situation as described in Question 7) decide instead to let the oldest among them eliminate any bottles that she regards as less desirable than any other. If more than one bottle remains (i.e. if the oldest was indifferent between more than one most-preferred bottle) then the second-oldest will make the final decision. Which of the axioms in the "Gibbard-Satterthwaite Theorem" is contravened by this social choice function? Surjectivety Non-dictatorship Strategy-proofness ONone of the above