A buyer needs to outsource some component for one
of its products. We will assume that this component is
the only contributor to cost for the buyer. Once the
product is manufactured, it is sold to customers at a
price p.
Unfortunately, the demand for the product, and thus
for the quantity of components needed, is not known at
the planning/outsourcing stage. So the buyer must decide
on the purchasing of components with some information
about the distribution of demand only.
To obtain the flexibility needed by the buyer, an
auction is organized with the following format. Each
supplier's bid will consist of two parameters:
- a unit reservation fee, or premium, that will be
charged for every unit of capacity reserved by the
buyer;
- a unit execution fee, or strike,
that will be charged for every component requested by
the buyer after demand is revealed.
Given bids from each participant in the auction,
the buyer reserves capacity at each supplier. Some time
later, demand becomes known, and the buyer meets it with
the available capacity in its portfolio. Of course, it
will start using the suppliers with smaller execution
price, and, as capacity in the cheaper sources is
exhausted, moves to suppliers with more expensive
execution prices.
This game models the auction. The instructor plays
the buyer and the students the suppliers. At the
creation of the auction, the instructor needs to
specify:
- the number of suppliers present in the
auction;
- the number of rounds that will take place;
- the duration between rounds (e.g. 10
minutes).
We will normalize the selling price to
p= 100 and the cost parameters of each
suppliers will be selected so that every supplier has the
opportunity to make some profit.
Given these parameters, each group of students is
confronted with the problem of bidding a reservation
price r and an execution price e.
For this purpose, they can use a simulator where they
can test their payments, i.e. the expected profit [the
simulator uses the information on everybody's cost
parameters, together with the demand distribution]. The
specific difficulty at this stage is that they do not
know what the other suppliers will bid. In any case,
they can use information about the competitors' previous
bids and costs. Once the group is ready, it submits a
bid to the buyer. At the closing of the current round,
the bids of every supplier are revealed to all, and
either a new round starts or the auction stops, capacity
is allocated to every supplier and the expected payments
to each supplier are
computed.
To obtain the details on how to use the game,
please refer to our tutorial.
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