**Women & CrimePerpetrators & Victims

**OutlineI. Arrest rates for Women Vs. MenII. Labor Force Trends For WomenIII. Violence Amongst IntimatesIV. Labor Market Analysis for WomenV. Demographic TrendsVI. Forcible RapeVII. International Traffic in Women

**Trends in Arrest Rates All Offenses

**Arrest Rates for Violent Index Offenses

**Arrest Rates for Property Index Offenses

**Arrest rates For Murder

**Arrest Rates For Robbery

**Arrest Rates For Burglary

**Arrest Rates For Motor Vehicle Theft

**Arrest Rates For Larceny-Theft

**Arrest rates For Prostitution and Commercialized Vice

**Trends In Arrest Rates For Embezzlement

**ConclusionsWomen are becoming more involved in crimeWomen do not like confrontational types of crimeNot so much into violent crime or robberyAs women work, opportunities changeEmbezzlement by women increasingProstitution decreasing

**Labor Force Trends For WomenRosie the Riveter During WWIIMeg Whitman: E-Bay/ Candidate forGovernor/ CEO of Hewlett-Packard

**Labor Force Trends For WomenIn 1948, nearly one third of women participated in the labor force. By 2008, nearly sixty percent of women participated in the labor forceIn 1973, women accounted for 38.5% of national employment. By 2010, this number was over 47 %.

**

**Household SurveyCivilian Non-institutionalPopulation, CNIPLabor Force,LFNot In The Labor Force, NLFEmployed, EUnemployed, ULabor Force Participation Rate, = LF/CNIP

**Labor Force Trends For WomenAs more women left the role of house wife for the labor force, the nature of the home changedAs women became a larger presence in the workplace, the nature of the workplace changed

**In Contrast: Labor Force Partipation Rate Trends For Young Men, 16-24

**Trends In Property Offense Rates

**A statistical analysis of the US property crime rate from 1960 through 2010 was conducted, and the crime rate was positively correlated with the labor force participation rate for men ages 16-24, lagged two years, and negatively correlated with the labor force participation rate for women, lagged three years.

**Property Crime Rate : Observed & Regression Estimate

**III. Violence Amongst intimatesIhttp://bjs.ojp.usdoj.gov/content/intimate/ipv.cfm

**Role of Intimates In Homicides

**

**Victims of Homicide by Intimates

**Intimate Partner Victims

**Intimate Homicides By Relationship

**Homicide By Intimates Rates

**Non-fatal Rates Per 1000

**IV. Labor Force Analysis for Women Using Illustrative Muliplicative Preferences U =(Y Y0 ) 0.5 (L - L0 ) 0.5 y0 = committed income, credit card payments and mortgage payments etc.L0 = committed leisure, things you have to do around the house such as take care of the kids (soccer mom)

**Fifties and SixtiesMale was the bread-winner, female did the chores around the house

**8 hours work, $25/hrU =(Y Y0 ) 0.5 (L - L0 ) 0.5 ,y0 =0 = L0

Chart1

56.5685424949

40

32.6598632371

28.2842712475

25.2982212813

23.0940107676

21.380899353

20

18.8561808316

17.88854382

17.0560573084

16.3299316186

15.6892908111

15.1185789204

14.6059348668

14.1421356237

13.7198868114

13.3333333333

12.9777136905

12.6491106407

12.344267997

12.0604537831

11.7953564924

11.5470053838

Leisure

Income

Preference Function Illustration: Cobb-Douglas

Chart2

3200

1600

1066.6666666667

800

640

533.3333333333

457.1428571429

400

355.5555555556

320

290.9090909091

266.6666666667

246.1538461538

228.5714285714

213.3333333333

200

188.2352941176

177.7777777778

168.4210526316

160

152.380952381

145.4545454545

139.1304347826

133.3333333333

Leisure

Income

Illustrative Cobb-Douglas Preferences

Sheet1

LeisureLeisure - Committedworkincomeincome - committedy=25*L

00246000

112357525

222255050

332152575

4420500100

5519475125

6618450150

7717425175

8816400200

9915375225

101014350250

111113325275

121212300300

131311275325

141410250350

15159225375

16168200400

17177175425

18186150450

19195125475

20204100500

2121375525

2222250550

2323125575

242400600

20016

14.14213562374

utility56.5685424949

Leisuresqrt leisuresqrt income=utility/sqrt leisureincome

00

1156.56854249493200

21.4142135624401600

31.732050807632.65986323711066.6666666667

4228.2842712475800

52.236067977525.2982212813640

62.449489742823.0940107676533.3333333333

72.645751311121.380899353457.1428571429

82.828427124720400

9318.8561808316355.5555555556

103.162277660217.88854382320

113.316624790417.0560573084290.9090909091

123.464101615116.3299316186266.6666666667

133.605551275515.6892908111246.1538461538

143.741657386815.1185789204228.5714285714

153.872983346214.6059348668213.3333333333

16414.1421356237200

174.123105625613.7198868114188.2352941176

184.242640687113.3333333333177.7777777778

194.358898943512.9777136905168.4210526316

204.47213595512.6491106407160

214.58257569512.344267997152.380952381

224.690415759812.0604537831145.4545454545

234.795831523311.7953564924139.1304347826

244.898979485611.5470053838133.3333333333

Chart3

6400

3200

2133.3333333333

1600

1280

1066.6666666667

914.2857142857

800

711.1111111111

640

581.8181818182

533.3333333333

492.3076923077

457.1428571429

426.6666666667

400

376.4705882353

355.5555555556

336.8421052632

320

304.7619047619

290.9090909091

278.2608695652

266.6666666667

Leisure

Income

Illustration of Multiplicative Preferences, Cobb-Douglas

Sheet2

Illustration of Cobb-Douglas Utility

For no committed income or leisure, and wage per hour $25,

mrs =y/L=25, y=25L and U =5L

if Leisure, L=16, then U=800 and y=U*U/L6400

LeisureL/6400

000yy

10.000156250.000156256400

20.00031250.000312532003200

30.000468752133.33333333332133.3333333333

40.00062516001600

50.000781251280

60.00093751066.6666666667

70.00109375914.2857142857

80.00125800

90.00140625711.1111111111

100.0015625640

110.00171875581.8181818182

120.001875533.3333333333

130.00203125492.3076923077

140.0021875457.1428571429

150.00234375426.6666666667

160.0025400

170.00265625376.4705882353

180.0028125355.5555555556

190.00296875336.8421052632

200.003125320

210.00328125304.7619047619

220.0034375290.9090909091

230.00359375278.2608695652

240.00375266.6666666667

Sheet3

**

**Housewife with $150/day of Husbands $200/day for HouseholdTreat $150/day as her non-labor income so less likely to workPossibly the story in the fifties and sixties

**Housewife with $150 of Husbands $200Non-laborIncomeAt most wants to work ~ 4 hours

Chart1

56.5685424949

40

32.6598632371

28.2842712475

25.2982212813

23.0940107676

21.380899353

20

18.8561808316

17.88854382

17.0560573084

16.3299316186

15.6892908111

15.1185789204

14.6059348668

14.1421356237

13.7198868114

13.3333333333

12.9777136905

12.6491106407

12.344267997

12.0604537831

11.7953564924

11.5470053838

Leisure

Income

Preference Function Illustration: Cobb-Douglas

Chart2

3200

1600

1066.6666666667

800

640

533.3333333333

457.1428571429

400

355.5555555556

320

290.9090909091

266.6666666667

246.1538461538

228.5714285714

213.3333333333

200

188.2352941176

177.7777777778

168.4210526316

160

152.380952381

145.4545454545

139.1304347826

133.3333333333

Leisure

Income

Illustrative Cobb-Douglas Preferences

Sheet1

LeisureLeisure - Committedworkincomeincome - committedy=25*L

00246000

112357525

222255050

332152575

4420500100

5519475125

6618450150

7717425175

8816400200

9915375225

101014350250

111113325275

121212300300

131311275325

141410250350

15159225375

16168200400

17177175425

18186150450

19195125475

20204100500

2121375525

2222250550

2323125575

242400600

20016

14.14213562374

utility56.5685424949

Leisuresqrt leisuresqrt income=utility/sqrt leisureincome

00

1156.56854249493200

21.4142135624401600

31.732050807632.65986323711066.6666666667

4228.2842712475800

52.236067977525.2982212813640

62.449489742823.0940107676533.3333333333

72.645751311121.380899353457.1428571429

82.828427124720400

9318.8561808316355.5555555556

103.162277660217.88854382320

113.316624790417.0560573084290.9090909091

123.464101615116.3299316186266.6666666667

133.605551275515.6892908111246.1538461538

143.741657386815.1185789204228.5714285714

153.872983346214.6059348668213.3333333333

16414.1421356237200

174.123105625613.7198868114188.2352941176

184.242640687113.3333333333177.7777777778

194.358898943512.9777136905168.4210526316

204.47213595512.6491106407160

214.58257569512.344267997152.380952381

224.690415759812.0604537831145.4545454545

234.795831523311.7953564924139.1304347826

244.898979485611.5470053838133.3333333333

Chart3

6400

3200

2133.3333333333

1600

1280

1066.6666666667

914.2857142857

800

711.1111111111

640

581.8181818182

533.3333333333

492.3076923077

457.1428571429

426.6666666667

400

376.4705882353

355.5555555556

336.8421052632

320

304.7619047619

290.9090909091

278.2608695652

266.6666666667

Leisure

Income

Illustration of Multiplicative Preferences, Cobb-Douglas

Chart4

640010000

32005000

2133.33333333333333.3333333333

16002500

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative Multiplicative Preferences

Chart5

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative multiplicative preferences

Sheet2

Illustration of Cobb-Douglas Utility

For no committed income or leisure, and wage per hour $25,

mrs =y/L=25, y=25L and U =5L

if Leisure, L=16, then U=80 and y=U*U/L

LeisureL/6400640010000

00yy given U=80y given U=100

10.000156250.000156256400100000.0001

20.00031250.00031253200320050000.0002

30.000468752133.33333333332133.33333333333333.33333333330.0003

40.0006251600160025000.0004

50.00078125128020000.0005

60.00093751066.66666666671666.66666666670.0006

70.00109375914.28571428571428.57142857140.0007

80.0012580012500.0008

90.00140625711.11111111111111.11111111110.0009

100.001562564010000.001

110.00171875581.8181818182909.09090909090.0011

120.001875533.3333333333833.33333333330.0012

130.00203125492.3076923077769.23076923080.0013

140.0021875457.1428571429714.28571428570.0014

150.00234375426.6666666667666.66666666670.0015

160.00254006250.0016

170.00265625376.4705882353588.23529411760.0017

180.0028125355.5555555556555.55555555560.0018

190.00296875336.8421052632526.31578947370.0019

200.0031253205000.002

210.00328125304.7619047619476.19047619050.0021

220.0034375290.9090909091454.54545454550.0022

230.00359375278.2608695652434.78260869570.0023

240.00375266.6666666667416.66666666670.0024

Sheet3

**Single woman with Kids & AlimonyTen hours of committed leisureU =(Y 0)0.5 (L 10)0.5

**Single Woman with Kids & Alimony0AlimonyWants to work at most six05

Chart1

56.5685424949

40

32.6598632371

28.2842712475

25.2982212813

23.0940107676

21.380899353

20

18.8561808316

17.88854382

17.0560573084

16.3299316186

15.6892908111

15.1185789204

14.6059348668

14.1421356237

13.7198868114

13.3333333333

12.9777136905

12.6491106407

12.344267997

12.0604537831

11.7953564924

11.5470053838

Leisure

Income

Preference Function Illustration: Cobb-Douglas

Chart2

3200

1600

1066.6666666667

800

640

533.3333333333

457.1428571429

400

355.5555555556

320

290.9090909091

266.6666666667

246.1538461538

228.5714285714

213.3333333333

200

188.2352941176

177.7777777778

168.4210526316

160

152.380952381

145.4545454545

139.1304347826

133.3333333333

Leisure

Income

Illustrative Cobb-Douglas Preferences

Sheet1

LeisureLeisure - Committedworkincomeincome - committedy=25*L

00246000

112357525

222255050

332152575

4420500100

5519475125

6618450150

7717425175

8816400200

9915375225

101014350250

111113325275

121212300300

131311275325

141410250350

15159225375

16168200400

17177175425

18186150450

19195125475

20204100500

2121375525

2222250550

2323125575

242400600

20016

14.14213562374

utility56.5685424949

Leisuresqrt leisuresqrt income=utility/sqrt leisureincome

00

1156.56854249493200

21.4142135624401600

31.732050807632.65986323711066.6666666667

4228.2842712475800

52.236067977525.2982212813640

62.449489742823.0940107676533.3333333333

72.645751311121.380899353457.1428571429

82.828427124720400

9318.8561808316355.5555555556

103.162277660217.88854382320

113.316624790417.0560573084290.9090909091

123.464101615116.3299316186266.6666666667

133.605551275515.6892908111246.1538461538

143.741657386815.1185789204228.5714285714

153.872983346214.6059348668213.3333333333

16414.1421356237200

174.123105625613.7198868114188.2352941176

184.242640687113.3333333333177.7777777778

194.358898943512.9777136905168.4210526316

204.47213595512.6491106407160

214.58257569512.344267997152.380952381

224.690415759812.0604537831145.4545454545

234.795831523311.7953564924139.1304347826

244.898979485611.5470053838133.3333333333

Chart3

6400

3200

2133.3333333333

1600

1280

1066.6666666667

914.2857142857

800

711.1111111111

640

581.8181818182

533.3333333333

492.3076923077

457.1428571429

426.6666666667

400

376.4705882353

355.5555555556

336.8421052632

320

304.7619047619

290.9090909091

278.2608695652

266.6666666667

Leisure

Income

Illustration of Multiplicative Preferences, Cobb-Douglas

Chart4

640010000

32005000

2133.33333333333333.3333333333

16002500

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative Multiplicative Preferences

Chart5

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative multiplicative preferences

Chart6

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrtive Multiplicative Preferences

Sheet2

Illustration of Cobb-Douglas Utility

For no committed income or leisure, and wage per hour $25,

mrs =y/L=25, y=25L and U =5L

if Leisure, L=16, then U=80 and y=U*U/L

LeisureL/6400640010000

00yy given U=80y given U=100

10.000156250.000156256400100000.0001

20.00031250.00031253200320050000.0002

30.000468752133.33333333332133.33333333333333.33333333330.0003

40.0006251600160025000.0004

50.00078125128020000.0005

60.00093751066.66666666671666.66666666670.0006

70.00109375914.28571428571428.57142857140.0007

80.0012580012500.0008

90.00140625711.11111111111111.11111111110.0009

100.001562564010000.001

110.00171875581.8181818182909.09090909090.0011

120.001875533.3333333333833.33333333330.0012

130.00203125492.3076923077769.23076923080.0013

140.0021875457.1428571429714.28571428570.0014

150.00234375426.6666666667666.66666666670.0015

160.00254006250.0016

170.00265625376.4705882353588.23529411760.0017

180.0028125355.5555555556555.55555555560.0018

190.00296875336.8421052632526.31578947370.0019

200.0031253205000.002

210.00328125304.7619047619476.19047619050.0021

220.0034375290.9090909091454.54545454550.0022

230.00359375278.2608695652434.78260869570.0023

240.00375266.6666666667416.66666666670.0024

Sheet3

**Single Woman with Kids, No Alimony, & $150/day of Committed IncomeWants to work ~ 8 hoursorigin

Chart1

56.5685424949

40

32.6598632371

28.2842712475

25.2982212813

23.0940107676

21.380899353

20

18.8561808316

17.88854382

17.0560573084

16.3299316186

15.6892908111

15.1185789204

14.6059348668

14.1421356237

13.7198868114

13.3333333333

12.9777136905

12.6491106407

12.344267997

12.0604537831

11.7953564924

11.5470053838

Leisure

Income

Preference Function Illustration: Cobb-Douglas

Chart2

3200

1600

1066.6666666667

800

640

533.3333333333

457.1428571429

400

355.5555555556

320

290.9090909091

266.6666666667

246.1538461538

228.5714285714

213.3333333333

200

188.2352941176

177.7777777778

168.4210526316

160

152.380952381

145.4545454545

139.1304347826

133.3333333333

Leisure

Income

Illustrative Cobb-Douglas Preferences

Sheet1

LeisureLeisure - Committedworkincomeincome - committedy=25*L

00246000

112357525

222255050

332152575

4420500100

5519475125

6618450150

7717425175

8816400200

9915375225

101014350250

111113325275

121212300300

131311275325

141410250350

15159225375

16168200400

17177175425

18186150450

19195125475

20204100500

2121375525

2222250550

2323125575

242400600

20016

14.14213562374

utility56.5685424949

Leisuresqrt leisuresqrt income=utility/sqrt leisureincome

00

1156.56854249493200

21.4142135624401600

31.732050807632.65986323711066.6666666667

4228.2842712475800

52.236067977525.2982212813640

62.449489742823.0940107676533.3333333333

72.645751311121.380899353457.1428571429

82.828427124720400

9318.8561808316355.5555555556

103.162277660217.88854382320

113.316624790417.0560573084290.9090909091

123.464101615116.3299316186266.6666666667

133.605551275515.6892908111246.1538461538

143.741657386815.1185789204228.5714285714

153.872983346214.6059348668213.3333333333

16414.1421356237200

174.123105625613.7198868114188.2352941176

184.242640687113.3333333333177.7777777778

194.358898943512.9777136905168.4210526316

204.47213595512.6491106407160

214.58257569512.344267997152.380952381

224.690415759812.0604537831145.4545454545

234.795831523311.7953564924139.1304347826

244.898979485611.5470053838133.3333333333

Chart3

6400

3200

2133.3333333333

1600

1280

1066.6666666667

914.2857142857

800

711.1111111111

640

581.8181818182

533.3333333333

492.3076923077

457.1428571429

426.6666666667

400

376.4705882353

355.5555555556

336.8421052632

320

304.7619047619

290.9090909091

278.2608695652

266.6666666667

Leisure

Income

Illustration of Multiplicative Preferences, Cobb-Douglas

Chart4

640010000

32005000

2133.33333333333333.3333333333

16002500

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative Multiplicative Preferences

Chart5

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative multiplicative preferences

Chart6

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrtive Multiplicative Preferences

Sheet2

Illustration of Cobb-Douglas Utility

For no committed income or leisure, and wage per hour $25,

mrs =y/L=25, y=25L and U =5L

if Leisure, L=16, then U=80 and y=U*U/L

LeisureL/6400640010000

00yy given U=80y given U=100

10.000156250.000156256400100000.0001

20.00031250.00031253200320050000.0002

30.000468752133.33333333332133.33333333333333.33333333330.0003

40.0006251600160025000.0004

50.00078125128020000.0005

60.00093751066.66666666671666.66666666670.0006

70.00109375914.28571428571428.57142857140.0007

80.0012580012500.0008

90.00140625711.11111111111111.11111111110.0009

100.001562564010000.001

110.00171875581.8181818182909.09090909090.0011

120.001875533.3333333333833.33333333330.0012

130.00203125492.3076923077769.23076923080.0013

140.0021875457.1428571429714.28571428570.0014

150.00234375426.6666666667666.66666666670.0015

160.00254006250.0016

170.00265625376.4705882353588.23529411760.0017

180.0028125355.5555555556555.55555555560.0018

190.00296875336.8421052632526.31578947370.0019

200.0031253205000.002

210.00328125304.7619047619476.19047619050.0021

220.0034375290.9090909091454.54545454550.0022

230.00359375278.2608695652434.78260869570.0023

240.00375266.6666666667416.66666666670.0024

Sheet3

**Modern Woman, Husband Earns $200/day, expenses plus mortgage amounts to $250/day: works 8 hoursoriginWants to work ~ 8 hours/day

Chart1

56.5685424949

40

32.6598632371

28.2842712475

25.2982212813

23.0940107676

21.380899353

20

18.8561808316

17.88854382

17.0560573084

16.3299316186

15.6892908111

15.1185789204

14.6059348668

14.1421356237

13.7198868114

13.3333333333

12.9777136905

12.6491106407

12.344267997

12.0604537831

11.7953564924

11.5470053838

Leisure

Income

Preference Function Illustration: Cobb-Douglas

Chart2

3200

1600

1066.6666666667

800

640

533.3333333333

457.1428571429

400

355.5555555556

320

290.9090909091

266.6666666667

246.1538461538

228.5714285714

213.3333333333

200

188.2352941176

177.7777777778

168.4210526316

160

152.380952381

145.4545454545

139.1304347826

133.3333333333

Leisure

Income

Illustrative Cobb-Douglas Preferences

Sheet1

LeisureLeisure - Committedworkincomeincome - committedy=25*L

00246000

112357525

222255050

332152575

4420500100

5519475125

6618450150

7717425175

8816400200

9915375225

101014350250

111113325275

121212300300

131311275325

141410250350

15159225375

16168200400

17177175425

18186150450

19195125475

20204100500

2121375525

2222250550

2323125575

242400600

20016

14.14213562374

utility56.5685424949

Leisuresqrt leisuresqrt income=utility/sqrt leisureincome

00

1156.56854249493200

21.4142135624401600

31.732050807632.65986323711066.6666666667

4228.2842712475800

52.236067977525.2982212813640

62.449489742823.0940107676533.3333333333

72.645751311121.380899353457.1428571429

82.828427124720400

9318.8561808316355.5555555556

103.162277660217.88854382320

113.316624790417.0560573084290.9090909091

123.464101615116.3299316186266.6666666667

133.605551275515.6892908111246.1538461538

143.741657386815.1185789204228.5714285714

153.872983346214.6059348668213.3333333333

16414.1421356237200

174.123105625613.7198868114188.2352941176

184.242640687113.3333333333177.7777777778

194.358898943512.9777136905168.4210526316

204.47213595512.6491106407160

214.58257569512.344267997152.380952381

224.690415759812.0604537831145.4545454545

234.795831523311.7953564924139.1304347826

244.898979485611.5470053838133.3333333333

Chart3

6400

3200

2133.3333333333

1600

1280

1066.6666666667

914.2857142857

800

711.1111111111

640

581.8181818182

533.3333333333

492.3076923077

457.1428571429

426.6666666667

400

376.4705882353

355.5555555556

336.8421052632

320

304.7619047619

290.9090909091

278.2608695652

266.6666666667

Leisure

Income

Illustration of Multiplicative Preferences, Cobb-Douglas

Chart4

640010000

32005000

2133.33333333333333.3333333333

16002500

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative Multiplicative Preferences

Chart5

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative multiplicative preferences

Chart6

12802000

1066.66666666671666.6666666667

914.28571428571428.5714285714

8001250

711.11111111111111.1111111111

6401000

581.8181818182909.0909090909

533.3333333333833.3333333333

492.3076923077769.2307692308

457.1428571429714.2857142857

426.6666666667666.6666666667

400625

376.4705882353588.2352941176

355.5555555556555.5555555556

336.8421052632526.3157894737

320500

304.7619047619476.1904761905

290.9090909091454.5454545455

278.2608695652434.7826086957

266.6666666667416.6666666667

U=80

U=100

Leisure

Income

Illustrative Multiplicative Preferences

Sheet2

Illustration of Cobb-Douglas Utility

For no committed income or leisure, and wage per hour $25,

mrs =y/L=25, y=25L and U =5L

if Leisure, L=16, then U=80 and y=U*U/L

LeisureL/6400640010000

00yy given U=80y given U=100

10.000156250.000156256400100000.0001

20.00031250.00031253200320050000.0002

30.000468752133.33333333332133.33333333333333.33333333330.0003

40.0006251600160025000.0004

50.00078125128020000.0005

60.00093751066.66666666671666.66666666670.0006

70.00109375914.28571428571428.57142857140.0007

80.0012580012500.0008

90.00140625711.11111111111111.11111111110.0009

100.001562564010000.001

110.00171875581.8181818182909.09090909090.0011

120.001875533.3333333333833.33333333330.0012

130.00203125492.3076923077769.23076923080.0013

140.0021875457.1428571429714.28571428570.0014

150.00234375426.6666666667666.66666666670.0015

160.00254006250.0016

170.00265625376.4705882353588.23529411760.0017

180.0028125355.5555555556555.55555555560.0018

190.00296875336.8421052632526.31578947370.0019

200.0031253205000.002

210.00328125304.7619047619476.19047619050.0021

220.0034375290.9090909091454.54545454550.0022

230.00359375278.2608695652434.78260869570.0023

240.00375266.6666666667416.66666666670.0024

Sheet3

**Currently; Home Ownership is Going Down

**Age At First Marriagehttp://www.userniche.com/LoveAndDivorce/ASP/UserNicheMainPage.asp?ID=23

**V. Relationship TrendsMarriage RatesDivorce RatesBirth Rates

**US Statistical Abstract 1953

**Baby Boom. US Stat. Abst. 1974

**The Long View: Greenwood & Gruner

**

**Where Did All the Married Women Go? How Long Will You Be Married?

**

**OECD Marriage & Divorce Rateshttp://www.oecd.org/dataoecd/4/19/40321815.pdf

**Marriage Market

**Greenwood-Gruner Model

**Living Arrangements For Young Women, 1880-2000

**If You Have a Microwave Who Needs a Significant Other?

*Rape*

*US Forcible Rape Offenses Per 100,000

**

*Uniform Crime Report 2010

*FBIUniformCrime Reports

**International Traffic in Women

*

*

*

*

*

*UNESCO

*

*

*

*

Cooley-Rupert Economic Snapshot*

*

*

*

*

*

*The End