appendix d bidding game
TRANSCRIPT
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Supplier Execution Reservation Final price 100
Costs Uniform demand
1 0 42 Lower bound 0
2 10 33 Upper bound 100
3 20 25
4 30 195 50 10
6 65 5
7 80 2
8 100 0
Supplier # 1
input cells
Supplier Execution Reservation Position Status Quantity Profit
Bids
1 12 32.71428571 1 ACTIVE 14.32855001 26.57333788
2 14 31 2 ACTIVE 14.29795743 -0.04366998
3 21 25 3 ACTIVE 40.0059994 18.72779996
4 31 19 4 ACTIVE 62.81930851 11.08438144
5 64 6.73 5 ACTIVE 76.50293713 13.37496435
6 66 7 6 INACTIVE 76.50293713 0
7 72 4.85 7 ACTIVE 82.67919003 7.518260541
8 100 0 8 ACTIVE 100 0
UPDATE ORDERS
OPTIMIZE BID for
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x
x
x
x
x
x
-10 0 10 20 30
1
2
3
4
5
6
7
Profit
Supplie
r
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INSTRUCTIONS TO USE THE SPREADSHEET
This file simulates the interaction between suppliers that compete for the procurement of a manufacturer.
The given data is the following:
there are N=7 suppliers
the final selling price is p=100the costs of reserving capacity and producing are given by cells B3-C9
the customer demand follows a uniform distribution in [0;100], presente
The input from the suppliers are in the form of a pair of a reservation fee and an execution fee. For instanc
These inputs are coloured in red and are presented in cells B16-C22
Once the inputs are introduced, you must hit the button "UPDATE ORDERS" in order to obtain the decision
the position is the rank in which the manufacturer calls the suppliers wh
the status is the description of the competitive position of the suppliers,
the quantity is the cumulated amount of capacity bought from a particul
finally, the profit is the expected profit obtained by a supplier given all th
One can optimize the profit of a given supplier either by doing it by hand (inputting new bids and hitting "UP
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d in cells E2-F4
, if supplier 2 offers a reservation price v=5 and an execution price w=80, then the manufacturer will pay 5
of the manufacturer. This information is shown in the columns next to the bids, and consist of
en it requests (executes) supply; for example if the position is 3, then two other suppliers are called before t
inactive meaning that the supplier gets zero orders from the manufacturer, and active meaning some order
r supplier plus all the suppliers with smaller position, therefore the "real" capacity reserved is given by the
ese bids, they are plotted in the graph of the spreadsheet
DATE ORDERS"), or otherwise by hitting "OPTIMIZE BID" after filling the cell F11 with the correct number;
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or every unit of capacity it reserves and 80 for every unit of supply it requests.
his particular supplier
(can be very small though)
ifference of the quantity shown in the cell of a supplier minus the quantity shown in the cell of the supplier
this last function returns an approximation of the optimal bid that can be improved by hand
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ith previous position