Using the Becker Model of Crime together with the following information, what is the expected utility of crime?Utility from successful crime = $600Utility from failed crime = $-1000Probability of getting caught = 25%
Question
Using the Becker Model of Crime together with the following information, what is the expected utility of crime?Utility from successful crime = -1000Probability of getting caught = 25%
Solution
The Becker Model of Crime is an economic model that assumes individuals make a rational decision to commit crime by comparing the expected benefits and costs. The expected utility of crime can be calculated using the following formula:
Expected Utility = (Probability of Success * Utility from Success) + (Probability of Failure * Utility from Failure)
Given the information:
- Utility from successful crime = $600
- Utility from failed crime = $-1000
- Probability of getting caught = 25%
First, we need to calculate the probabilities of success and failure. The probability of success is the complement of the probability of getting caught, so:
Probability of Success = 1 - Probability of getting caught = 1 - 0.25 = 0.75
The probability of failure is the same as the probability of getting caught, so:
Probability of Failure = 0.25
Now we can substitute these values into the formula:
Expected Utility = (0.75 * -1000) = 250 = $200
So, according to the Becker Model of Crime, the expected utility of crime in this case is $200.
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