We study a model in which the seller of an indivisible object facts two pot
ential buyers and makes an offer to either of them in each period. We find
that the seller's ability to extract surplus from them depends crucially on
the value of the cost of switching from one buyer to the: next. If the sel
ler is pessimistic about the buyers' valuations and there is a switching co
st, however small, then the market is a natural bilateral monopoly: the sec
ond buyer is never called on. If the switching cost is zero, or if the sell
er is optimistic, then switching, and possibly recall of the original buyer
, may occur.