http://www.cs.princeton.edu/courses/archiv...klemperer94.pdfRational Frenzies and Crashes
However, in the real world, buyers and sellers can choose when to
trade: Our main point is that when agents make this choice strategically,
a small event can trigger a very large volume of trade. A large
volume of trade then reveals a large amount of information and can
result in a large price change. Furthermore, in contrast to the recent
models of "herding" (see, e.g., Banerjee 1992; Bikhchandani, Hirshleifer,
and Welch 1992), our results occur even when all agents have
independent values of the traded good.
We analyze a simple dynamic model of market clearing with a seller
who has a fixed supply and a group of buyers who each have an
independent value for a single unit. The seller calls out a price, and
buyers then simultaneously announce whether they are willing to pay
that price. If demand is positive but less than or equal to supply, the
seller satisfies the demand and reoffers any remaining units at the
same price. If demand is zero, the seller reduces price continuously
until a buyer is found. If demand exceeds supply, then no transactions
take place and the seller asks a higher price.
We show that this model yields "frenzies," in which a single purchase
at a given price causes many other customers to come forward
to offer the same price. A second prominent consequence is
"crashes," in which it becomes common knowledge immediately after
a frenzy that no further buyers will be willing to pay anything close
to the price at which the frenzy took place. A further result is that
the price path is highly sensitive to small changes in the underlying
demand structure: transaction prices are neither continuous nor
monotonic in buyers' reservation values.