Cops and Robbers: Player 1 is a police officer who must decide whether to patrol the streets or to hang out at the coffee shop. His payoff from hanging out at the coffee shop is 10, while his payoff from patrolling the streets depends on whether he catches a robber, who is player 2. If the robber prowls the streets then the police officer will catch him and obtain a payoff of 20. If the robber stays in his hideaway then the officer's payoff is 0. The robber must choose between staying hidden or prowling the streets. If he stays hidden then his payoff is 0, while if he prowls the streets his payoff is –10 if the officer is patrolling the streets and 10 if the officer is at the coffee shop. a. Write down the matrix form of this game. b. Draw the best-response function of each player. c. Find the Nash equilibrium of this game. What kind of game does this game remind you of?

Cops and Robbers: Player 1 is a police officer who must decide whether to patrol the streets or to hang out at the coffee shop. His payoff from hanging out at the coffee shop is 10, while his payoff from patrolling the streets depends on whether he catches a robber, who is player 2. If the robber prowls the streets then the police officer will catch him and obtain a payoff of 20. If the robber stays in his hideaway then the officer's payoff is 0. The robber must choose between staying hidden or prowling the streets. If he stays hidden then his payoff is 0, while if he prowls the streets his payoff is –10 if the officer is patrolling the streets and 10 if the officer is at the coffee shop. a. Write down the matrix form of this game. b. Draw the best-response function of each player. c. Find the Nash equilibrium of this game. What kind of game does this game remind you of?

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MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Concept explainers

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.

Topic Video

Question

Cops and Robbers: Player 1 is a police officer who must decide whether to
patrol the streets or to hang out at the coffee shop. His payoff from hanging out
at the coffee shop is 10, while his payoff from patrolling the streets depends on
whether he catches a robber, who is player 2. If the robber prowls the streets
then the police officer will catch him and obtain a payoff of 20. If the robber
stays in his hideaway then the officer's payoff is 0. The robber must choose
between staying hidden or prowling the streets. If he stays hidden then his
payoff is 0, while if he prowls the streets his payoff is –10 if the officer is
patrolling the streets and 10 if the officer is at the coffee shop.
a. Write down the matrix form of this game.
b. Draw the best-response function of each player.
c. Find the Nash equilibrium of this game. What kind of game does this
game remind you of?

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