{{ block title }} Game of Player0 {{ endblock }} {{ block content }}

Player0 acts in the role of a firm, selling some product. The game is divided between two phases. The task of Player0 is to choose a selling price in every period. The income that Player0 can earn is measured in points, and it depends on the price that he or she chooses, and on the price of his or her opponents.

Player0 is in a group with three other firms. In every period all firms simultaneously decide which selling price they set for the current period. Every firm has to choose an integer price between 1 and 30, extremes included. How much Player0 earns depends on the price he or she chooses, and on the average price of all other firms in the group. The average price of the three firms that Player0 is facing is computed as:

Average price = (Sum of selling prices of other 3 firms) / 3

Consequently, the average price will be in the interval 1 ≤ selling price ≤ 30. The average price is rounded to the next integer number.

Please note the following: the three opponents of Player0 are computers. These computers are programmed to pick the price that maximizes their earnings with respect to the price chosen by Player0. This information is provided in the table Computer's price table: Phase 1 that you can find on your desk. This table tells you which average price will result from the three computerized opponents of Player0, given any price chosen by Player0.

Example: if Player0 chooses 2 as price, then the resulting average of the three computerized opponents will be 6.

In order to know the amount of points that Player0 can earn, he or she is given an Income table. You can find the Income table: Phase 1 on your desk.

How to read the income tables: the income table shows the nominal income that Player0 can earn if he or she chooses a specific price, and a specific average price from her opponents results in a certain period. The actual earnings that Player0 can earn at the end of the experiment are not based on nominal income payoff, but on real income payoff. The following relation between the two holds:

Real payoff = Nominal payoff / Average price of other firms

Example: Suppose that Player0 chooses a price of 2, then realized average price of Player0's opponents is 6. In this case Player0’s nominal income is 37 points. The (rounded) real income is 6 points (6.17 = 37 / 6).

See that if you use the Computer's price table together with the Income table, you can find the Average price, the nominal payoff and the real payoff for any price Player0 can choose.

As stated above, the experiment is divided between two phases. The only difference between Phase 1 and Phase 2 will be the tables that are used. In Phase 1 the tables are the ones that you have right now. After round 10 has concluded, you will be instructed on how to get the new tables. In Phase 2 the new tables are the only relevant ones, however you may find useful to compare the new tables to the original ones. Player0 has to pick a price for all 20 periods. With these tables Player0 has all the needed information to play the game.

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