EBK INTERMEDIATE MICROECONOMICS AND ITS
12th Edition
ISBN: 9781305176386
Author: Snyder
Publisher: YUZU
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Question
Chapter 4, Problem 4.6P
a
To determine
To find:Possible outcomes of each strategy and its probabilities.
b)
To determine
To plot:A graphical representation to show utility under each strategy.
c)
To determine
To ascertain: Whether utility be improved further by taking more than two trips or not.
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For the following questions consider this setting.
The deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the striker shots the ball in the other, then it is a goal. If the goalie jumps left and the striker shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the striker shots right, it is goal with probability 2/3.
QUESTION Say the goalie's strategy is to jump left with probability 1 and the striker shoots left with probability 0.5, then the probability of a goal is (round to two digits)
QUESTION If the striker shoots in either corner with probability 0.5 and the goalie likewise shoots in either corner with probability 0.5, then the probability of a goal is (round to 2 digits)
For the following questions consider this setting.
The deciding shot in a soccer game comes down to a penalty shot. If the goal-keeper jumps in one corner and the striker shots the ball in the other, then it is a goal. If the goalie jumps left and the striker shoots left, then it is a goal with probability 1/3. If the goalie jumps right and the striker shots right, it is goal with probability 2/3.
Say the goalie's strategy is to jump left with probability 1 and the striker shoots left with probability 0.5, then the probability of a goal is (round to two digits)
If the striker shoots in either corner with probability 0.5 and the goalie likewise shoots in either corner with probability 0.5, then the probability of a goal is (round to 2 digits)
We learned that we can use choice between a gamble over someone's best and worst outcomes and getting an outcome of interest (like getting pizza) for certain as a way to assign numeric values to utility (on a scale of 0 to 1).
Using this method, if you are indifferent between the following:
A gamble that has a 0.3 chance of your best possible outcome (and no lower chance), and a 0.7 chance of your worst possible outcome.
Getting pizza for certain.
it means that your utility for getting pizza is:
Chapter 4 Solutions
EBK INTERMEDIATE MICROECONOMICS AND ITS
Ch. 4.1 - Prob. 1MQCh. 4.1 - Prob. 2MQCh. 4.1 - Prob. 3MQCh. 4.2 - Prob. 1TTACh. 4.2 - Prob. 2TTACh. 4.2 - Prob. 1MQCh. 4.3 - Prob. 1TTACh. 4.3 - Prob. 2TTACh. 4.3 - Prob. 1MQCh. 4.3 - Prob. 2MQ
Ch. 4.3 - Prob. 3MQCh. 4.3 - Prob. 1.1TTACh. 4.3 - Prob. 1.2TTACh. 4.3 - Prob. 2.1TTACh. 4.3 - Prob. 2.2TTACh. 4.3 - Prob. 1.1MQCh. 4.3 - Prob. 2.1MQCh. 4.3 - Prob. 3.1MQCh. 4.4 - Prob. 1TTACh. 4.4 - Prob. 2TTACh. 4 - Prob. 1RQCh. 4 - Prob. 2RQCh. 4 - Prob. 3RQCh. 4 - Prob. 4RQCh. 4 - Prob. 5RQCh. 4 - Prob. 6RQCh. 4 - Prob. 7RQCh. 4 - Prob. 8RQCh. 4 - Prob. 9RQCh. 4 - Prob. 10RQCh. 4 - Prob. 4.1PCh. 4 - Prob. 4.2PCh. 4 - Prob. 4.3PCh. 4 - Prob. 4.4PCh. 4 - Prob. 4.5PCh. 4 - Prob. 4.6PCh. 4 - Prob. 4.7PCh. 4 - Prob. 4.8PCh. 4 - Prob. 4.9PCh. 4 - Prob. 4.10P
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