The following normal form representation of a racquetball game implies both players choose their strategies simultaneously. Nimah hits the ball, and Raina is moving at the same time to try and position herself where the ball will be. (please refer to figure provided) If the game is slowed down a little, giving Raina a chance to see what direction Nimah has hit to, what should happen?That is, what outcome would we predict for this as a sequential game when Nimah moves first?Choose one:A. Raina always wins the point.B. Nimah wins the point about half the time, and Raina wins about half the time.C. Nimah wins the points to the right, and Raina wins the points to the left.D. Nimah always wins the point. ### Decision Matrix for Nimah and Raina's GameThis diagram represents a decision matrix outlining the possible outcomes in a game between two players, Nimah and Raina. The matrix helps visualize and predict the results based on their actions.#### Description of the MatrixThe matrix consists of 4 quadrants, structured in a 2x2 grid:1. **Columns – Raina’s Guesses:** - Guesses to the left - Guesses to the right2. **Rows – Nimah’s Hits:** - Hits to the left - Hits to the rightEach cell in the matrix represents a combination of actions from Nimah and Raina and describes the outcome in terms of who wins or loses the point.#### Outcomes Explained- **Top-left cell:** - **Nimah hits to the left** - **Raina guesses to the left** - **Outcome:** - Raina wins the point. - Nimah loses the point.- **Top-right cell:** - **Nimah hits to the left** - **Raina guesses to the right** - **Outcome:** - Raina loses the point. - Nimah wins the point.- **Bottom-left cell:** - **Nimah hits to the right** - **Raina guesses to the left** - **Outcome:** - Raina loses the point. - Nimah wins the point.- **Bottom-right cell:** - **Nimah hits to the right** - **Raina guesses to the right** - **Outcome:** - Raina wins the point. - Nimah loses the point.This decision matrix succinctly illustrates the possible scenarios and their corresponding results. It is a useful tool for understanding and predicting the dynamics of the game based on the strategies employed by Nimah and Raina.

In the sequential game, the individuals will be aware of the moves of other individuals who have…

Answered: The following normal form…

ENGR.ECONOMIC ANALYSIS

14th Edition

ISBN:9780190931919

Author:NEWNAN

Publisher:NEWNAN

Chapter1: Making Economics Decisions

Section: Chapter Questions

Problem 1QTC

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The following normal form representation of a racquetball game implies both players choose their strategies simultaneously. Nimah hits the ball, and Raina is moving at the same time to try and position herself where the ball will be. (please refer to figure provided)

If the game is slowed down a little, giving Raina a chance to see what direction Nimah has hit to, what should happen?
That is, what outcome would we predict for this as a sequential game when Nimah moves first?

Choose one:

A. Raina always wins the point.

B. Nimah wins the point about half the time, and Raina wins about half the time.

C. Nimah wins the points to the right, and Raina wins the points to the left.

D. Nimah always wins the point.

### Decision Matrix for Nimah and Raina's Game

This diagram represents a decision matrix outlining the possible outcomes in a game between two players, Nimah and Raina. The matrix helps visualize and predict the results based on their actions.

#### Description of the Matrix

The matrix consists of 4 quadrants, structured in a 2x2 grid:

1. **Columns – Raina’s Guesses:**
- Guesses to the left
- Guesses to the right

2. **Rows – Nimah’s Hits:**
- Hits to the left
- Hits to the right

Each cell in the matrix represents a combination of actions from Nimah and Raina and describes the outcome in terms of who wins or loses the point.

#### Outcomes Explained

- **Top-left cell:**
- **Nimah hits to the left**
- **Raina guesses to the left**
- **Outcome:**
- Raina wins the point.
- Nimah loses the point.

- **Top-right cell:**
- **Nimah hits to the left**
- **Raina guesses to the right**
- **Outcome:**
- Raina loses the point.
- Nimah wins the point.

- **Bottom-left cell:**
- **Nimah hits to the right**
- **Raina guesses to the left**
- **Outcome:**
- Raina loses the point.
- Nimah wins the point.

- **Bottom-right cell:**
- **Nimah hits to the right**
- **Raina guesses to the right**
- **Outcome:**
- Raina wins the point.
- Nimah loses the point.

This decision matrix succinctly illustrates the possible scenarios and their corresponding results. It is a useful tool for understanding and predicting the dynamics of the game based on the strategies employed by Nimah and Raina.

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