A common way to represent a game in which two players have two strategies to choose from and play simultaneously or without knowing what the other has chosen to do, is:

The common way to represent a game in which two players have two strategies to choose from and play simultaneously or without knowing what the other has chosen to do is through a **Normal Form Game**. This is often represented using a **payoff matrix**.## Normal Form GameA Normal Form Game is a representation of a strategic situation where players choose their actions simultaneously and independently. The key components of a Normal Form Game are:* Players* Strategies* Payoffs## Payoff MatrixA payoff matrix is a table that shows the payoffs for each player for every possible combination of strategies. Each cell in the table represents a possible outcome of the game, with the payoffs for each player listed in the cell.Here is an example of a payoff matrix for a two-player game where each player has two strategies:| | Player 2 Strategy 1 | Player 2 Strategy 2 ||----------|---------------------|---------------------|| Player 1 Strategy 1 | (2, 2) | (0, 3) || Player 1 Strategy 2 | (3, 0) | (1, 1) |In this table, the first number in each pair is the payoff for Player 1, and the second number is the payoff for Player 2. For example, if Player 1 chooses Strategy 1 and Player 2 chooses Strategy 2, Player 1 will receive a payoff of 0 and Player 2 will receive a payoff of 3.This matrix representation allows us to analyze the game using the concepts of game theory, such as **dominant strategies**, **Nash equilibrium**, and **Pareto efficiency**.