At the beginning of the game, the computer program will randomly form groups of {{ C.PLAYERS_PER_GROUP }} players. The composition of the groups will remain unchanged throughout the game. You cannot identify the other players in your group, and they cannot identify you.

The game consists of {{ C.NUM_ROUNDS_PHASE_1 }} periods. In each period, you and the other players in your group must decide how many tokens you wish to extract from a resource shared by the {{ C.PLAYERS_PER_GROUP }} players in the group. You can extract any whole amount you want, between 0 tokens and {{ C.EXTRACTION_MAX }} tokens. Extraction generates a benefit and has a cost.

Benefit of the extraction

The benefit depends solely on individual extraction: each unit extracted by a player earns them {{ C.FORMULE_RECETTE }} ECU, where E is the number of tokens extracted. The benefit function is identical for all players and all periods.
The table below shows the benefit, in ECU, for each possible extraction during a period. The benefit function is also graphically represented below the table. By moving the cursor over the curve, you can precisely visualize the benefit associated with each number of tokens extracted.
The benefit increases up to an extraction of 22 tokens, after which it decreases.

Example 1 : You extract 1 token. The benefit of this extraction is equal to ECU.
Example 2 : ou extract 10 token. The benefit of this extraction is equal to ECU.

Extraction cost

At the beginning of each period, you will be informed of the cost of the first token extracted during that period. Each additional token extracted will cost 1 ECU more than the previous token.

Example : The cost of the^st token extracted in period 1 is 1 ECU. Suppose the {{ C.PLAYERS_PER_GROUP }} players extract a total of 30 tokens during this period. The first token costs 1 ECU, the second costs 2 ECU, the third costs 3 ECU, and so on up to the 30th token, which costs 30 ECU. The total cost of the 30 tokens for the {{ C.PLAYERS_PER_GROUP }} players is therefore equal to: 1 + 2 + 3 + ... + 30 = 465 ECU.

The cost of each token extracted, for each player in the group, is the average cost, meaning the total cost divided by the total number of tokens extracted by the group. Thus, the cost paid by each player is equal to the number of tokens they extracted multiplied by the average cost of each token.

Example : Suppose in the previous example, you extracted 6 tokens out of the 30 tokens extracted in total by the {{ C.PLAYERS_PER_GROUP }} joueurs. players. The total cost of the tokens is 465 ECU, and the average cost is 465 / 30 = 15.5 ECU. In this case, you will have to pay 6 x 15.5 = 93 ECU.
Note that \(6 \times \frac{465}{30} = \frac{6}{30} \times 465\), meaning that the cost you will have to pay can also be interpreted, equivalently, as your share of the total extraction multiplied by the total cost of the tokens.

When you move from one period to the next, the cost of the 1st token extracted in the new period will be equal to the cost of the last token from the previous period + 1 ECU. This means that the cost of tokens can only increase throughout the game, but never decrease. Thus, the tokens extracted in the earlier periods will always have a lower cost than the tokens extracted in the later periods.

Example : In period 5, the cost of the 1st token extracted is 86 ECU, and a total of 10 tokens are extracted during this period. The cost of the last token is therefore 95 ECU (the 1^st token costs 86 ECU, the 2^nd 87 ECU, ..., the 10^th 95 ECU). The base cost for period 6 will therefore be 96 ECU (95 + 1). The 1^st token extracted in period 6 will therefore cost 96 ECU, the 2nd 97 ECU, the 3rd 98 ECU, and so on.