In a two-player strategic form game there are two numbers at each entry in the payoff matrix. The first of these numbers is usually the payoff of the column player.

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BlackTom AI · Accepted Answer

In a two-player strategic (normal-form) game, each entry of the payoff matrix is a pair of numbers, representing the payoffs to the two players when the row and column players choose their strategies. 
Option 1: True. This statement claims that the first number in each entry is the column player's payoff. This is a common misconception. In standard convention, the payoff pair is usually listed as (payoff to row player, payoff to column player), so the first number corresponds to the row player, not the column player. Therefore, this option is incorrect. 
Option 2: False. This aligns with the typical convention: each entry contains a pair (u_R, u_C), where the first component is the row player's payoff and the second is the column player's payoff. Since the statement claims the first number is the column player's payoff, it misstates the standard ordering, making this option correct in identifying the error. 
Additional note: Some texts or contexts can flip the order or present different conventions, but the conventional and most widely taught format is (row payoff, column payoff). This reinforces why the assertion in the statement is false in the common interpretation.

ECON0015_ECON0013_ECON0014_25-26 Quiz 1a

In a two-player strategic form game there are two numbers at each entry in the payoff matrix. The first of these numbers is usually the payoff of the column player.

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