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Jobs and CrimeJobs and Crime

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Last Tuesday:Last Tuesday:

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Summary for Lecture TwoSummary for Lecture Two Crime is an economic problemCrime is an economic problem

loss of resources(dead weight loss) from private loss of resources(dead weight loss) from private and public defense (graphical economic analysis)and public defense (graphical economic analysis)

Damages to victims are 3 times as high for Damages to victims are 3 times as high for crimes against persons compared to crimes crimes against persons compared to crimes against propertyagainst property Total for 7 FBI Index Crimes: $ 95 Billion (93 $)Total for 7 FBI Index Crimes: $ 95 Billion (93 $)

Shouldn’t society focus more on big ticket fraud: Enron, WorldCom, Bernard Madoff Investment Securities LLC?

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TodayToday Policy Issue: Gun Laws Seriousness ratings for ten behaviors

How much would you pay to prevent your bike being stolen?

Experimental issue: Do economic conditions cause crime?

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How to study for this course!How to study for this course! Lecture course: go to lectures

No section and no TA Look at outline slide at the beginning of each lecture with

the major points and a summary slide at the end of each PowerPoint with the major points

Be familiar with the graphical analysis in the class notes & the PowerPoints

Look at last Winter’s (2011) midterm for clues Read (listen, look, Google) the news and keep up with

criminal justice system stories

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Example:Summary for Lecture TwoExample:Summary for Lecture Two

Crime is an economic problemCrime is an economic problem loss of resources(dead weight loss) from private loss of resources(dead weight loss) from private

and public defenseand public defense Damages to victims are 3 times as high for Damages to victims are 3 times as high for

crimes against persons compared to crimes crimes against persons compared to crimes against propertyagainst property Total for 7 FBI Index Crimes: $ 95 Billion (93 $)Total for 7 FBI Index Crimes: $ 95 Billion (93 $)

Shouldn’t society focus more on big ticket fraud: Enron, WorldCom, Bernard Madoff Investment Securities LLC?

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Example: Outline and Issues for Lecture TwoExample: Outline and Issues for Lecture Two Course logistics: gauchospaceCourse logistics: gauchospace Criminal Justice System (CJS) & economic Criminal Justice System (CJS) & economic

paradigm: where do the values (prices) come paradigm: where do the values (prices) come from to evaluate the states (outcomes) of the from to evaluate the states (outcomes) of the CJS?CJS?

How much crime is there? How do we know?How much crime is there? How do we know? Crime has two effects:Crime has two effects:

Redistribution of welfare from the victim to the Redistribution of welfare from the victim to the perpetratorperpetrator

Opportunity cost or waste of resources for defenseOpportunity cost or waste of resources for defense

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The Graphics of Total Cost, TCThe Graphics of Total Cost, TCTC = r*OF + ETC = r*OF + EThe Graphics of Total Cost, TCThe Graphics of Total Cost, TCTC = r*OF + ETC = r*OF + E

88

$

E on CJS

Total Cost (E)

Minimum Cost

Optimal Expenditure

Economic Paradigm1. Choose objective

e. g. minimize sum ofdamages to victims plus expenditures, E, on CJS

2. Describe states of the world (options for choice)

Total cost curve (E)

3. Choose the best option

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MidtermI. 40II. 20III. 40IV. 50

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Stories still in the newsStories still in the news

Congresswoman Gabrielle Giffords

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What is the gun law in Arizona?What is the gun law in Arizona? Q: Is there a waiting period on gun sales? Q: Are handgun buyers required to

complete safety training? Q: Is it required that you register all of your

guns with law enforcement? Q: Are background checks required at gun

shows? Q: Do state police and federal NICS

perform a background check?

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What is the gun law in Arizona?What is the gun law in Arizona? Q: Is it mandatory that locking devices be

sold with guns? Q: Is a license or permit required to buy

handguns? Q: Are background checks required on

'private' gun sales? Q: Are there any restrictions regarding

minors possessing guns? Q: May the police limit carrying concealed

handguns?

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A theme for this courseA theme for this course US and CA criminal justice systems will be US and CA criminal justice systems will be

case studies, but are there larger issues about case studies, but are there larger issues about the public sector?the public sector?

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Public Sector

Health

Safety

Civics

Education

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What determines the quality of life in a nation, a state or a locality? What determines the quality of life in a nation, a state or a locality?

The distribution of GDP between the public and private sectors?

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Total Tax Burden As % of GDP, 2004Google Forbes overall tax burdenTotal Tax Burden As % of GDP, 2004Google Forbes overall tax burden

Country Total Tax burden

Sweden 50.7%

France 43.7

UK 36.1

Germany 34.8

Canada 33.0

Switzerland 29.4

USA 25.5

Mexico 18.5

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Public Vs. Private GoodsPublic Vs. Private Goods

Labor for Public Goods

Labor for

Private Goods

Contraint

Labor, Private

Private

Goods

Production Function

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L, public

Output, Public

L, Private

Output, PrivateProduction Possibility Frontier

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L, public

Output, Public

L, Private

Output, PrivateProduction Possibility Frontier

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Private

Public

Sweden

UK

USMexico

Canada

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Production Possibility FrontierProduction Possibility FrontierPRIVATE

PUBLIC

Inefficient

Does the global economyCause a bias towards Private instead of publicGoods and services?

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Production Possibility FrontierProduction Possibility Frontier

Public Goods:Defense

Public Goods: Health

Inefficient

Does being the world’sPoliceman cause a bias Away from other public Goods and services?

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Expenditures Per PupilExpenditures Per PupilFiscalFiscal

YearYear

70-7170-71 80-8180-81 90-9190-91 00-0100-01 03-0403-04 05-0605-06

CACA

RankRank

1414 1919 2828 2525 2828 3535

NominalNominal

$, CA$, CA

902902 24382438 45954595 69866986 76737673 86078607

USUS 842842 23072307 49024902 73737373 83108310 95769576

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Production Possibility FrontierProduction Possibility Frontier

Public Goods:Prison Operation

Public Goods: education

Inefficient

Which would you rather do (1) keep the 30% ofstate prisoners who are pot-heads locked up, or(2) educate your kids?

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US PoliticsUS Politics ““It’s the economy stupid!”It’s the economy stupid!” Issues in 2008, 2009, 2010, & 2011Issues in 2008, 2009, 2010, & 2011

Human capital and educationHuman capital and education The family and social conservativesThe family and social conservatives

I will argue that the issues of family and education are connected

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7.2% 29.6%

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33.8%

5.8%

7.2/5.8 ~ 26% rise

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The Economy and CrimeThe Economy and Crime

Is crime affected by the business cycle?Is crime affected by the business cycle? Do economic factors cause crime?Do economic factors cause crime?

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 www.econsnapshot.wordpress.com 

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Where is the economy headed?Survey of Professional Forecastershttp://www.phil.frb.org/files/spf/survq407.html

Where is the economy headed?Survey of Professional Forecastershttp://www.phil.frb.org/files/spf/survq407.html

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The forecasters can be wrong!The forecasters can be wrong!

A day late and a dollar short

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California Forecasts & Record: Umemployment rate: CA Dept. of FinanceCalifornia Forecasts & Record: Umemployment rate: CA Dept. of Finance

YearYear 20042004 20052005 20062006 20072007 20082008 20092009 20102010

CACA 6.2%6.2% 5.4%5.4% 4.9%4.9% 5.3%5.3% 5.7%5.7% 5.6%5.6% 5.5%5.5%

USUS 5.5%5.5% 5.1%5.1% 4.6%4.6% 4.6%4.6% 5.0%5.0% 5.0%5.0% 4.8%4.8%

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OutlineOutline Seriousness SurveySeriousness Survey

What can we learn from the survey?What can we learn from the survey? Crime FileCrime File

VictimsVictims Jobs and CrimeJobs and Crime

Jobs and CrimeJobs and Crime Why do some people get involved with crime?Why do some people get involved with crime?

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Class Survey Fall 2011 Vs. Winter 2011Class Survey Fall 2011 Vs. Winter 2011

Scoring Ten BehaviorsScoring Ten Behaviors 48 responses Fall 201148 responses Fall 2011 86 responses in Winter 201186 responses in Winter 2011

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SERIOUSNESS SURVEY

RATE THE SERIOUSNESS OF EACH OF THE FOLLOWING BEHAVIORS ON A SCALE FROM ZERO( LEAST SERIOUS) TO TEN( MOST SERIOUS):

MEDIAN W11 F111. HOMICIDE _10 10__2. MASS POISONING ( e.g. TYLENOL) _ 9 9__ 3. FORCIBLE RAPE _ 9 _10_4. ARSON: SET FIRE TO A GARAGE _ 7 __75. SELLING HEROIN _ 7 _7_6. AUTO THEFT _ 6 _6_7. EMBEZZLEMENT OF $1,000 _ 5 __58. PROSTITUTE IN A HOUSE OF PROSTITUTION _ 4 __39. POSSESSION OF MARIJUANA _ 2 __110. SNIFFING GLUE _ 2 __1

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Center of the Scores DistributionCenter of the Scores Distribution

Mode: most likelyMode: most likely Median: middle personMedian: middle person Average: sum of scores divided by total Average: sum of scores divided by total

number of peoplenumber of people

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Density Function for the Standardized Normal Variate

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

-5 -4 -3 -2 -1 0 1 2 3 4 5

Standard Deviations

Den

sity

2]1/)0[(2/1*]2/1[)( zezf

2.5%2.5%mean

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Median seriousness Scores Fall 2011 and Winter 2011

7

1

Forcible rape

homicide

Poisoning

Arson, Selling heroin

Auto Theft

embezzlement

Prostitute

, Pot Possession, Sniff ing glue

y = 0.8367x + 1.1633

R2 = 0.9882

0

1

2

3

4

5

6

7

8

9

10

0 2 4 6 8 10 12

Fall 2011

Win

ter

2011

Consistency from year to yearConsistency from year to year

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ConclusionsConclusions Consistency from year to year Triage is possible: we can separate the more

serious behaviors from the less serious behaviors

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Distribution of Homicide Scores in F 2011Distribution of Homicide Scores in F 2011

Histogram

0 0 0 0 0 0 0 2 03

43

0

10

20

30

40

50

0 1 2 3 4 5 6 7 8 9 10

Seriousness score

Fre

qu

en

cy

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ConclusionsConclusions Consistency from year to year Triage is possible: we can separate the more

serious behaviors from the less serious behaviors

For serious behaviors, a clear majority view For example, for homicide 43 out of 48 score it

a 10, while 3 out of 43 score it a 9 and 2 out of 48 score it a 7.

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Distribution of Forcible Rape Scores F 2011Distribution of Forcible Rape Scores F 2011

Histogram

25

12

7

1210

5

10

15

20

25

30

Bin 0 1 2 3 4 5 6 7 8 9 10

Seriousness scores

Fre

qu

en

cy

Over half the class score forcible rape a 10, 44 out of 48 score it 8 or above.

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Three ? Views on Pot, Fall 2011Three ? Views on Pot, Fall 2011

Score: 0-2, 35Score: 3-5, 11Score: 6&7, 224, a score of 1, would carry a majority vote, 32, a score of 2, would carry a 2/3 vote

Histogram

7

20

85

3 31 1 0 0 0

0

5

10

15

20

25

0 1 2 3 4 5 6 7 8 9 10

Seriousness Scores

Fre

qu

en

cy

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ConclusionsConclusions Consistency from year to year Triage is possible: we can separate the more

serious behaviors from the less serious behaviors

For serious behaviors, a clear majority view For example, for homicide 43 out of 48 score it

a 10, while 3 out of 43 score it a 9 and 2 out of 48 score it a 7.

The less serious behaviors are more controversial!

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QuestionQuestion Since a 2/3 majority view pot possession as

not very serious, a score of 2, why doesn’t pot get decriminalized?

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Dispersion of Scores DistributionDispersion of Scores Distribution

Measures of dispersionMeasures of dispersion Standard deviationStandard deviation Inter-quartile rangeInter-quartile range Range: Maximum - MinimumRange: Maximum - Minimum

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Density Function for the Standardized Normal Variate

0

0.05

0.1

0.15

0.2

0.25

0.3

0.35

0.4

0.45

-5 -4 -3 -2 -1 0 1 2 3 4 5

Standard Deviations

Den

sity

2]1/)0[(2/1*]2/1[)( zezf

2.5%2.5%mean

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The more serious the behavior, the less disagreement about policy. Fall 2011The more serious the behavior, the less disagreement about policy. Fall 2011

Mass Poisoning

Embezzlement

Arson

Auto Thef t

Prostitute

Pot Possession

Selling Heroin

Sniffi ng Glue

Forcible rape

Homicide

0

0.2

0.4

0.6

0.8

1

1.2

1.4

1.6

1.8

2

0 2 4 6 8 10 12

Seriousness Score

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Bureau of Justice Statistics,Report to the Nation

The Alternativep.170

One more step: converting seriousness scores to a metric (years of sentence or Loss rate of $)

The Economics of Crime Control, Ch. 4

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Source: $ 1.54 Million (1990), Orley Ashenfelter, Princeton,Based on highway safety

Homicide

Embezzlement of $1000

y = 0.6494e1.4679x

R2 = 1

1

10

100

1000

10000

100000

1000000

10000000

0 2 4 6 8 10 12

Ser iousness Socre

Calibrating $ values for SeriousnessCalibrating $ values for Seriousness

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Behavior Seriousness Loss Rate, $ NIJ Cohen

Homicide 10 $1,540,001 $1,191,000

Poisoning 9 $354,830

Rape 10 $1,540,001 $87,000

arson 7 $18,837 $38,000

Selling heroin 7 $18,837

Auto theft 6 $4,340 $4,000

embezzlement 5 $1,000.04

prostitute 3 $53

Pot possession 1 $2.82

Miller, Cohen, Wiersema: Victim Costs & Consequences (NIJ)

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Months Served in California Vs. Fall 2011 Seriousness

Possession Vehicle Theft

Arsont

Rape

Homicide

y = 9.445e0.1906x

R2 = 0.693

0

20

40

60

80

100

120

0 2 4 6 8 10 12

Seriousness Scores

Mo

nth

s S

erv

ed

Months Served in CA Prison Vs. F ’11 Seriousness ScoresMonths Served in CA Prison Vs. F ’11 Seriousness Scores

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Jobs and CrimeJobs and Crime

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Questions About CrimeQuestions About Crime

Does the Business Cycle Affect Crime Does the Business Cycle Affect Crime Rates?Rates?

Does an Individual’s Life Cycle Affect Does an Individual’s Life Cycle Affect Crime Rates?Crime Rates?

Why do some people live socially Why do some people live socially unproductive lives?unproductive lives?

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Two Points About Economic Conditions and CrimeTwo Points About Economic Conditions and Crime Relationship of Crime to the Business CycleRelationship of Crime to the Business Cycle

Short RunShort Run: Business Cycle: Business Cycle Is Phil Cook wrong?Is Phil Cook wrong? California: the misery index and crimeCalifornia: the misery index and crime

misery index = unemployment rate + inflation ratemisery index = unemployment rate + inflation rate

Relationship of Crime to the Life CycleRelationship of Crime to the Life Cycle Long RunLong Run Investment in EducationInvestment in Education Role of the FamilyRole of the Family

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Why do people work in labor market?Why do people work in labor market?

Tastes? Assume everybody has the same tastes! Human capital: earning power

Education Work experience Health

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An Individual’s Life Cycle for a Socially Productive LifeAn Individual’s Life Cycle for a Socially Productive Life Learning over the life cycleLearning over the life cycle Accumulating earning power or human Accumulating earning power or human

capitalcapital Earnings depend uponEarnings depend upon

abilityability knowledgeknowledge work experiencework experience healthhealth

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Productive Life Cycle

Social Institution

Family - PreSchool - School - College - Job - Retirement

Function

Learning: Accumulating Human Capital - Earning - Spending

Age Line

0 4 6 18 23 65

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Accumulating Human Capital

Inflow OutflowStock

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Accumulating Human Capital

StockInflow +

-

OutflowNet Inflow

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Accumulating Human Capital

HumanCapital

Learning +

-

DepreciationInvestment

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Allocation of Your Time

Human Capital

Build Capitalby Learning

Use Capitalfor Earning

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Time Endowment

24 hours

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24 hours0 hoursLeisure(learning)

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Allocation of Your Time

Human Capital

Build Capitalby Learning

Use Capitalfor Earning

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24 hours0 hoursLeisure(learning)

Earnings

$480 Opportunities for trading leisurefor earnings (income) at a rate,$20 per hour, determined by yourstock of human capital

$ 0

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Salaries by Education Level, CAFull Time* WorkersSalaries by Education Level, CAFull Time* WorkersEducation Salary WageNo HS Dipl. $26,115 $13.06 HS Dipl. $27,326 $13.69Bachelor’s $44,426 $26.39Master’s $52,787 $26.97Doctorate $59,348 $29.67Professional $77,877 $38.94

*Full Time: >35 hrs/wk, >48 wks/yr.; Source: LA Times, 1-10-93

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

$240

dropout

college grad

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Economists Assume You Can make ComparisonsEconomists Assume You Can make Comparisons For example: you can compare a high level For example: you can compare a high level

of your income and a low level of your of your income and a low level of your leisure leisure withwith a low level of your income and a low level of your income and a high level of your leisurea high level of your leisure

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

Iso-Preference Curves:You value all points on a curve equally

high

low value

high value

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

high

low value

high value

Optimum

15 hoursof leisure

$180for 9 hrsof work

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

high

low value

slope of the iso-preference curve through the 24 hour endowment is the lowest wage at which you are willing to work

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

high

low value

slope of the iso-preference curve through the 24 hour endowment is the lowest wage at which you are willing to work

$96

dropout is unwilling to work for $4/hr

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Participation in the Labor Force:Willing to look for workParticipation in the Labor Force:Willing to look for work If your market wage exceeds your If your market wage exceeds your

reservation wagereservation wage college grad, @$20/hr, participatescollege grad, @$20/hr, participates the junior high dropout, @ $4/hr, does notthe junior high dropout, @ $4/hr, does not

We assumed the college grad and the We assumed the college grad and the dropout both have the same values for dropout both have the same values for income and leisureincome and leisure

Only their learning histories differ Only their learning histories differ

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24 hours0 hoursLeisure(learning)

Earnings

$480

$ 0

high

low value

slope of the iso-preference curve through the 24 hour endowment is the lowest wage at which you are willing to work

$96

dropout is unwilling to work for $4/hr

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Productive Life Cycle

Social Institution

Family - PreSchool - School - College - Job - Retirement

Function

Learning: Accumulating Human Capital - Earning - Spending

Age Line

0 4 6 18 23 65

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SummarySummary

Your economic status affects your probable Your economic status affects your probable behavior: work or crimebehavior: work or crime

Earning power affects your probable Earning power affects your probable behaviorbehavior

When you are a young teen you need a When you are a young teen you need a parent or role model to motivate you to stay parent or role model to motivate you to stay in school and keep learningin school and keep learning

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The EndThe End

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Number of Responses Versus Score for Homicide

1 30 0 0 0 1 2 1

15

90

0

10

20

30

40

50

60

70

80

90

100

0 1 2 3 4 5 6 7 8 9 10

Score

Nu

mb

er2003

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Class Survey 2003Class Survey 2003

Scoring Ten BehaviorsScoring Ten Behaviors 113 Responses113 Responses No two are the sameNo two are the same Two most similar responsesTwo most similar responses Two most different responsesTwo most different responses

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Similar ScoringsSimilar ScoringsHomicide 10 10Poisoning 10 10Rape 10 10Arson 7 8Sell Heroin 7 5Auto Theft 4 7Embezzle 4 4Prostitute 5 2Possess Pot 3 1Sniff Glue 0 0

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Different ScoringsDifferent ScoringsHomicide 10 1Poisoning 10 5Rape 10 2Arson 10 4Sell Heroin 8 3Auto Theft 9 6Embezzle 7 7Prostitute 7 8Possess Pot 5 9Sniff Glue 8 10

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Number of Responses Versus Score for Homicide

1 30 0 0 0 1 2 1

15

90

0

10

20

30

40

50

60

70

80

90

100

0 1 2 3 4 5 6 7 8 9 10

Score

Nu

mb

er2003

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Dispersion Versus Median Score, 2003

0

0.5

1

1.5

2

2.5

0 2 4 6 8 10 12

Median Score

Dis

per

sio

n

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Econ 160 Fall 99 Class Ratings .

Sniff Glue

MarijuanaProstitute

Embezzlement

Sell HeroinAuto Theft

ArsonPoisoning

RapeHomicide

0.0

2.0

4.0

6.0

8.0

10.0

12.0

0.00 2.00 4.00 6.00 8.00 10.00 12.00

Standard Deviation: Dispersion

Mea

n R

atin

g

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SERIOUSNESS SURVEY

RATE THE SERIOUSNESS OF EACH OF THE FOLLOWING BEHAVIORS ON A SCALE FROM ZERO( LEAST SERIOUS) TO TEN( MOST SERIOUS):

MEDIAN ‘03 ‘051. HOMICIDE _10 10__2. MASS POISONING ( e.g. TYLENOL) _ 9 8__ 3. FORCIBLE RAPE _ 9 9__4. ARSON: SET FIRE TO A GARAGE _ 7 7__5. SELLING HEROIN _ 6 6__6. AUTO THEFT _ 5.5 6__7. EMBEZZLEMENT OF $1,000 _ 4 4__8. PROSTITUTE IN A HOUSE OF PROSTITUTION _ 3 3__9. POSSESSION OF MARIJUANA _ 2 2__10. SNIFFING GLUE _ 1 1__

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Misery Index, California 1952-2003

-5.00

0.00

5.00

10.00

15.00

20.00

25.00

1950 1960 1970 1980 1990 2000 2010

year

Rat

e

unemployment rate

inflation rate

misery index

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California Misery Index and Crime Index, 1952-2002

0.00

5.00

10.00

15.00

20.00

25.00

30.00

35.00

40.00

45.00

1950 1960 1970 1980 1990 2000 2010

Year

Ra

te

CA Misery Index

CA Crime Index Per 1000

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California: Crime Index Versus Misery Index .

1970

1992

1975

1998

1980

1952

0

5

10

15

20

25

30

35

40

0.00 5.00 10.00 15.00 20.00 25.00

Misery Index

Cri

me I

nd

ex

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How best to Learn in a Lecture classThat does notHave a Section?

We RecommendGoing to class.The questionsOn the examsAre from topicsDiscussed inClass.

How much math does 160 require?

1.Descriptive Graphs2. AnalyticalGraphs (exams)3. Notation e.gOF=f(CR,SE,SV)

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Homicide, W 06, 61 Respondents

0 0 0 0 1 0 0 07

53

0102030405060

1 2 3 4 5 6 7 8 9 10

Seriousness

Fre

qu

ency

Mode = 10, largest number of responsesMedian = 10, score of 31st person

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Homicide, W 05, 98 Respondents

1 2 0 1 0 0 1 3

16

74

0

20

40

60

80

1 2 3 4 5 6 7 8 9 10

Seriousness

Fre

qu

ency

Mode = 10, largest number of responsesMedian = 10, score of 49th person

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Number of Responses Versus Score for Homicide 2004

0

10

20

30

40

50

60

70

80

0 1 2 3 4 5 6 7 8 9 10

Score

Res

po

nse

s

1 1 3

14

73

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Rape, W 05, 98 Respondents

0 0 1 0 1 4 7

19

39

27

0

10

20

30

40

50

1 2 3 4 5 6 7 8 9 10

Seriousness

Fre

qu

en

cy

Mode = 9Median = 9

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Possession of Marijuana, W 06, 61 Respondents

33

96

25

2 2 1 0 10

10

20

30

40

1 2 3 4 5 6 7 8 9 10

Seriousness

Fre

qu

en

cy

Mode = 1Median = 1

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0 1 2 3 4 5 6 7 8 9 10

23

31

27

10

7

4 4 5

2

0 00

5

10

15

20

25

30

35

Fre

qu

enc

y

Score

Number of Responses Vs. Possession of Pot Score ‘02

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Disagreement Versus Seriousness, 02

Arson

Selling Heroin

Auto Theft

Embezzle

Mass Poisoning

Rape

Homicide

Prostitute

Possess Pot

Sniff Glue

0

0.5

1

1.5

2

2.5

3

0 2 4 6 8 10 12

Score

Dis

per

sio

n (

Sta

nd

ard

Dev

iati

on

)

Homicide2004

Page 110: Llad Phillips1 Jobs and Crime. Llad Phillips2 Last Tuesday:

Seriousness Scores, Spring 2001 .

Auto Theft

Arson

Selling Heroin

PoisoningMarijuana

Prostitute

Sniffing Glue

Rape

Homicide

0.00

0.50

1.00

1.50

2.00

2.50

3.00

0.0 2.0 4.0 6.0 8.0 10.0 12.0

Average

Embezzlement

Sta

ndar

d D

evia

tion

or

Dis

pers

ion

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John Tukey: Box Plot for Pot ‘09John Tukey: Box Plot for Pot ‘09

Smallest = 0

Q1 = 1

Median = 1

Q3 = 3

Largest = 8

IQR = 2

Outliers: 8, 8, 8, 7,

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