  We address the recently posed question as to whether the nonlocality of a
single member of an entangled pair of spin $1/2$ particles can be shared among
multiple observers on the other wing who act sequentially and independently of
each other [1]. We first show that the optimality condition for the trade-off
between information gain and disturbance in the context of weak or non-ideal
measurements emerges naturally when one employs a one-parameter class of
positive operator valued measures (POVMs). Using this formalism we then prove
analytically that it is impossible to obtain violation of the
Clauser-Horne-Shimony-Holt (CHSH) inequality by more than two Bobs in one of
the two wings using unbiased input settings with an Alice in the other wing.
