PLAYER 2 Strategies $0 $1 $2 $3 $0 (3,3) (4,1) (5,-1) (6,-3) $1 (1,4) (2,2) (3,0) (4,-2) $2 (-1,5) (0,3) (1,1) (2,-1) $3 (-3,6) (-2,4) (-1,2) (0,0) PLAYER 1

ENGR.ECONOMIC ANALYSIS
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ISBN:9780190931919
Author:NEWNAN
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Chapter1: Making Economics Decisions
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Identify any strictly dominant strategies for the players.

This table represents a payoff matrix for a two-player game, where each player has four possible strategies involving monetary values from $0 to $3. Player 1's strategies are displayed in rows, while Player 2's strategies are shown in columns. The payoff for each combination of strategies is given in parentheses, with the first number representing Player 1's payoff and the second number representing Player 2's payoff.

### Payoff Matrix:

- **Player 1 vs. Player 2 Strategies**

  - **$0 vs. $0**: (3, 3)
  - **$0 vs. $1**: (1, 4)
  - **$0 vs. $2**: (-1, 5)
  - **$0 vs. $3**: (-3, 6)

  - **$1 vs. $0**: (4, 1)
  - **$1 vs. $1**: (2, 2)
  - **$1 vs. $2**: (0, 3)
  - **$1 vs. $3**: (-2, 4)

  - **$2 vs. $0**: (5, -1)
  - **$2 vs. $1**: (3, 0)
  - **$2 vs. $2**: (1, 1)
  - **$2 vs. $3**: (-1, 2)

  - **$3 vs. $0**: (6, -3)
  - **$3 vs. $1**: (4, -2)
  - **$3 vs. $2**: (2, -1)
  - **$3 vs. $3**: (0, 0)

### Highlighted Payoffs:

Several payoffs are underlined, likely indicating some form of significance such as Nash equilibrium points or dominant strategies. These are:

- **$2 vs. $0**: (5, -1)
- **$3 vs. $1**: (4, -2)
- **$3 vs. $2**: (2, -1)

This matrix can be used to analyze the strategic decisions made by both players and their resulting payoffs, providing insight into optimal strategies and potential equilibrium states in the game.
Transcribed Image Text:This table represents a payoff matrix for a two-player game, where each player has four possible strategies involving monetary values from $0 to $3. Player 1's strategies are displayed in rows, while Player 2's strategies are shown in columns. The payoff for each combination of strategies is given in parentheses, with the first number representing Player 1's payoff and the second number representing Player 2's payoff. ### Payoff Matrix: - **Player 1 vs. Player 2 Strategies** - **$0 vs. $0**: (3, 3) - **$0 vs. $1**: (1, 4) - **$0 vs. $2**: (-1, 5) - **$0 vs. $3**: (-3, 6) - **$1 vs. $0**: (4, 1) - **$1 vs. $1**: (2, 2) - **$1 vs. $2**: (0, 3) - **$1 vs. $3**: (-2, 4) - **$2 vs. $0**: (5, -1) - **$2 vs. $1**: (3, 0) - **$2 vs. $2**: (1, 1) - **$2 vs. $3**: (-1, 2) - **$3 vs. $0**: (6, -3) - **$3 vs. $1**: (4, -2) - **$3 vs. $2**: (2, -1) - **$3 vs. $3**: (0, 0) ### Highlighted Payoffs: Several payoffs are underlined, likely indicating some form of significance such as Nash equilibrium points or dominant strategies. These are: - **$2 vs. $0**: (5, -1) - **$3 vs. $1**: (4, -2) - **$3 vs. $2**: (2, -1) This matrix can be used to analyze the strategic decisions made by both players and their resulting payoffs, providing insight into optimal strategies and potential equilibrium states in the game.
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