Credit auction worked example: Hunter River Salinity Trading Scheme

Worked example of the credit allocation process.

Note: the tables below follow the bids from 2 bidders:

  • Bidder 103 is highlighted in mid-blue.
  • Bidder 105 is highlighted in green.
Fictional bid schedule

Table 1 shows a fictional bid schedule for a fictional credit auction for 50 credits using the Vickrey auction format. Noting the total number of credits sought exceeds the total number of credits available.

Note: This is a fictional example based on 50 credits. The Scheme credit auction will be for 200 credits.

The grey shading is to help identify bids by different bidders.

Table 1: Fictional bid schedule

Bidder IDQuantityMaximum $ per unitTotal number of bids soughtTotal amount willing to pay
101110,861  
10126,294323,449
10217,857  
10222,387312,631
103113,983  
103213,523  
10316,460  
10312,925550,414
104111,591  
10436,049429,738
105114,021  
105113,379  
105211,304  
105110,607  
10526,586  
10515,793  
10512,319  
10521,6631183,562
106413,596  
106213,355  
106111,676  
106110,300  
10629,384  
10634,989  
10623,879  
10623,08417150,731
10728,867  
10718,652  
10726,260  
10715,798644,704
108113,571  
108312,472  
10819,579  
10818,446  
10818,054  
10824,620986,306
TOTAL  58483,198
Ordering of individual bid values

Table 2 shows the individual bid values in order from highest value to lowest. It also indicates where the ‘highest losing bid’ occurs.

Table 2: Fictional individual bid values in order

CreditBidder IDMaximum $ Per Unit
110514,021
210313,983
310613,596
410613,596
510613,596
610613,596
710813,571
810313,523
910313,523
1010513,379
1110613,355
1210613,355
1310812,472
1410812,472
1510812,472
1610611,676
1710411,591
1810511,304
1910511,304
2010110,861
2110510,607
2210610,300
231089,579
241069,384
251069,384
261078,867
271078,867
281078,652
291088,446
301088,054
311027,857
321056,586
331056,586
341036,460
351016,294
361016,294
371076,260
381076,260
391046,049
401046,049
411046,049
421075,798
431055,793
441064,989
451064,989
461064,989
471084,620
481084,620
491063,879
501063,879
511063,084
Highest losing bid
521063,084
531032,925
541022,387
551022,387
561052,319
571052,319
581051,663
Bidder 103 and 105 allocations and payment calculations

Table 3 identifies the allocation and associated payment for Bidder 103 in the bid schedule.

Bidder 103 (highlighted in blue) was allocated 4 credits of their 5 bids. One bid was below the highest losing bid.

To calculate the amount to be paid, proceed to the highest losing bid in Table 3 and sum the bid values from credit 201 onwards, excluding any bids made by Bidder 103 for the price calculation. The amount to be paid is the sum of the values shown as bolded (i.e. credit 51, 52, 53 and 54). Bidder 103 is allocated four credits for the total price of $10,942.

Another example is given for Bidder 105 (highlighted in green) who was allocated 8 credits for the total price of $16,867. The allocation is carried out in the same manner. However, the difference is that for some of the credits, the reserve price is applied. In this fictional auction, the reserve price is set at $1,000. Bidder 105 obtained credits at bid prices set for credits 51-55 inclusive and the remaining 3 credits (to make up 8 successful bid values) were paid at reserve price of $1,000 per credit.

Table 3: Fictional auction results

CreditBidder IDMaximum $ Per Unit
110514,021
210313,983
310613,596
410613,596
510613,596
610613,596
710813,571
810313,523
910313,523
1010513,379
1110613,355
1210613,355
1310812,472
1410812,472
1510812,472
1610611,676
1710411,591
1810511,304
1910511,304
2010110,861
2110510,607
2210610,300
231089,579
241069,384
251069,384
261078,867
271078,867
281078,652
291088,446
301088,054
311027,857
321056,586
331056,586
341036,460
351016,294
361016,294
371076,260
381076,260
391046,049
401046,049
411046,049
421075,798
431055,793
441064,989
451064,989
461064,989
471084,620
481084,620
491063,879
501063,879
511063,084
Highest losing bid
521063,084
531032,925
541022,387
551022,387
561052,319
571051,663
581051,663
59Reserve1,000
60Reserve1,000
61Reserve1,000
62Reserve1,000
63Reserve1,000
64Reserve1,000
65Reserve1,000
66Reserve1,000
67Reserve1,000
68Reserve1,000
Overall fictional auction outcomes summary

Table 4 gives the allocations for all 8 bidders in the fictional auction.

Three bidders had some of their units allocated at the minimum (or reserve) bid price, because the available losing bids were exhausted before all of their units to be allocated could be priced.

Table 4: Fictional auction outcome summary

Bidder IDNumber of units allocatedTotal payment amount ($)Amount paid at the minimum
(or reserve) bid price ($)
10139,0930
10213,0840
103410,9420
104411,4800
105816,8673,000
1061522,3449,000
107616,186 
108920,1521,000
TOTAL50110,14813,000