# What Do You Know About The Homicidal Chauffeur Problem?

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In the category of Pursuit-evasion problems is the homicidal chauffeur problem, which puts a theoretical runner in opposition to a theoretical driver trying to race him down while they both never get tire. The slow-moving runner is very mobile while the fast driver is directly opposite. The problem is technical but straightforward; how would either one win in his respective pursuit?

• 1.

### Which category does the game belong to?

• A.

Differential game

• B.

Integral game

• C.

Time-factor game

• D.

Numerical game

A. Differential game
Explanation
The correct answer is "Differential game". A differential game is a type of game theory where the players' decisions are based on the rates of change of their strategies over time. In this type of game, the players' actions are not discrete but continuous, and they must consider the dynamics of their strategies over time. This is different from integral games, where the players' decisions are based on the accumulation or integration of their strategies over time. Time-factor game and numerical game are not recognized categories of game theory.

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• 2.

### In which time range is the game played?

• A.

Constant time

• B.

Continuous time

• C.

Random time

• D.

Slow motion

B. Continuous time
Explanation
The game is played in continuous time, meaning that there are no breaks or pauses in the gameplay. The events and actions in the game occur in a continuous flow without any interruptions or jumps in time. This is different from constant time, where the game progresses at a fixed pace, random time, where the timing of events is unpredictable, and slow motion, where the game is played at a slower speed than normal.

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• 3.

### Who proposed the puzzle?

• A.

Rufus Isaacs

• B.

Thomas Andrew

• C.

Peter Drury

• D.

Matt Robertson

A. Rufus Isaacs
Explanation
The correct answer is Rufus Isaacs. This can be inferred from the question which asks about the proposer of the puzzle. Among the given options, Rufus Isaacs is the only name mentioned in the question, indicating that he is the one who proposed the puzzle.

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• 4.

### Which year was the puzzle proposed?

• A.

1950

• B.

1951

• C.

1952

• D.

1953

B. 1951
Explanation
The puzzle was proposed in the year 1951.

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• 5.

### The game involves which sets of people?

• A.

A driver and a pedestrian

• B.

Two drivers trying to overrun each other

• C.

A driver trying to maneuver around

• D.

Two runners trying to catch a vehicle

A. A driver and a pedestrian
Explanation
The game involves a driver and a pedestrian. This suggests that the game revolves around the interaction between these two individuals, potentially simulating scenarios where the driver needs to navigate around the pedestrian or the pedestrian needs to avoid being hit by the driver. The other options mentioned in the question, such as two drivers trying to overrun each other or two runners trying to catch a vehicle, are not relevant to the game described.

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• 6.

### Which unclassified proxy is the puzzle used for?

• A.

Government policies

• B.

• C.

Missile defence

• D.

Domestic attack

C. Missile defence
Explanation
The puzzle is used for the unclassified proxy of missile defense. This implies that the puzzle is a representation or simulation of a missile defense system, which is used to test and evaluate the effectiveness of various defense strategies and technologies against missile attacks. It is not used for government policies, academic research, or domestic attacks, as indicated by the other options.

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• 7.

### Which corporation was the puzzle first developed for?

• A.

AND Corporation

• B.

RAND Corporation

• C.

OR Corporation

• D.

B. RAND Corporation
Explanation
The correct answer is RAND Corporation. The puzzle was first developed for RAND Corporation, a nonprofit research organization that provides objective analysis and research to the United States Armed Forces. RAND Corporation is known for its contributions to various fields, including national security, education, health, and public policy.

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• 8.

### What does "w" represent in the puzzle?

• A.

Speed of the runner

• B.

Magnitude of the linear velocity

• C.

Distance between two runners

• D.

B. Magnitude of the linear velocity
Explanation
The letter "w" in the puzzle represents the magnitude of the linear velocity. Linear velocity refers to the speed and direction of an object's motion in a straight line. Magnitude refers to the size or quantity of a vector, in this case, the size or quantity of the linear velocity. Therefore, "w" represents the magnitude of the linear velocity in the given puzzle.

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• 9.

### What does "R" represent in the puzzle?

• A.

• B.

• C.

• D.

Rotational angle

B. Minimal radius of the turn
Explanation
The letter "R" in the puzzle represents the minimal radius of the turn. This means that "R" is used to denote the smallest possible radius that a turn can have.

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• 10.

### How do you think "u" should be represented?

• A.

|u| ≤ 1

• B.

U < 1

• C.

U > 1

• D.

U = 1

A. |u| ≤ 1
Explanation
The correct answer is |u| ≤ 1. This answer suggests that "u" should be represented as a value that is less than or equal to 1 in magnitude. The absolute value of "u" should not exceed 1.

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• Current Version
• Mar 21, 2023
Quiz Edited by
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• May 15, 2018
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