**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