Have a personal or library account? Click to login
Desired work-leisure balance in a partial equilibrium job search model with multiple job holding Cover

Desired work-leisure balance in a partial equilibrium job search model with multiple job holding

Open Access
|Dec 2023

Figures & Tables

Figure 1

Histograms for working hours in single job.
Histograms for working hours in single job.

Figure 2

Offered wages and reservation wages - Fitted truncated models and histograms.
Offered wages and reservation wages - Fitted truncated models and histograms.

Figure 3

Fitted distributions for working time.
Fitted distributions for working time.

Figure 4

Histogram for the dierences between actual and optimal working hours, Δh.
Histogram for the dierences between actual and optimal working hours, Δh.

Figure 5

Histograms for the preferred hours and actual hours, original data. SD = 0.
Histograms for the preferred hours and actual hours, original data. SD = 0.

Figure 6

Histograms for the preferred hours and actual hours, simulated data. SD = 4.
Histograms for the preferred hours and actual hours, simulated data. SD = 4.

Estimated conditional reservation wages (cent)_ The proportion of observed accepted wages w′ smaller than the estimated ξ (percent)_ Estimated offer acceptance rates for single job offers, second job offers, and post-unemployment offers_

q0.20.51235
Estimated conditional reservation wages, ξ¯ \bar \xi 5782113158191231
Pr(w′ < ξ) - in percent0.60.71.01.62.33.4
Acceptance probability of single job offers, P1¯ \overline {{P_1}} 0.890.870.780.610.410.20
Acceptance probability of second job offers, P2¯ \overline {{P_2}} 0.860.840.760.600.530.24
Acceptance probability of post-unemployment offers, P0¯ \overline {{P_0}} 0.930.900.850.720.540.20

Observed offered wages and estimated conditional reservation wages for different types of job, measured in cent q = 2_

Job typesObserved offered wageEstimated reservation wage


SingleSecondPost-unemploymentSingleSecondPost-unemployment
Mean517434408218154125
Median446355338206139124
S.D.26823921212111353

Estimated values of leisure a (cent), actual working hours h (weekly hours), estimated optimal working hours h1* h_1^* (weekly hour), and their difference Δh_ Different values of q used in quantile regression_

a h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δh Pr(h1>h1*) {\bf{Pr(}}{{\boldsymbol{h}}_{\bf{1}}}{\boldsymbol{ > h}}_{\bf{1}}^{\bf{*}}{\bf{)}} overworked groupunderworked group


h1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δhh1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δh
q = 0.2159546.6−7.60.3641.732.49.337.554.7−17.2
q = 0.5165546.6−7.60.3641.732.98.837.554.6−17.1
q = 1165546.8−7.80.3641.732.69.137.554.7−17.2
q = 2168046.5−7.50.3741.533.18.537.554.4−16.9
q = 3168147.5−8.70.3441.233.57.837.554.8−17.2
q = 5169348.0−9.20.3441.133.87.337.555.2−17.7

Estimated value of leisure a (cent), wage elasticity of optimal leisure time ɛl,w1 and ɛl,w2, actual working hours h1 (weekly hour), estimated optimal hours h1* h_1^* (weekly hour), working hours mismatches Δh=h1−h1* \Delta h = {h_1} - h_1^* (weekly hour)_ q = 2_ Dierent values of e˜i {\tilde e_i} _

aɛl,w1ɛl,w2h1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δh Pr(h1>h1*) {\bf{Pr(}}{{\boldsymbol{h}}_{\bf{1}}}{\boldsymbol{ > h}}_{\bf{1}}^{\bf{*}}{\bf{)}} overworkunderwork

ΔhΔh
e˜i=168 {\tilde e_i} = 168 1680−0.26−0.4039.046.5 8.5−16.9
e˜i=140 {\tilde e_i} = 140 1508−0.28−0.5139.042.1 9.0−13.7
e˜i=126 {\tilde e_i} = 126 1485−0.32−0.5939.038.30.60.539.9−10.1

Descriptive statistics_

VariablesMeanSDminmax
Real wage (cent) in current job45226111858
Real wage (cent) in new single job offer51726791636
Real wage (cent) in new second job offer434239391623
Real wage (cent) in post unemployment job offer409212671644
Weekly working hours in current job (one job)36.611.70168
Weekly working hours in current jobs (two jobs)62.119.50168
Weekly working hours in new single job39.18.771168
Weekly working hours in new second job29.813.71140
Weekly working hours in post unemployment job35.011.01144
Weekly leisure hours12716.00168
Duration (week) for employment spell (one job)10613311346
Duration (week) for employment spell (two jobs)34.247.11630
Duration (week) for unemployment spell49.565.61631
Previous work experience (week)39119711646
Number of jobs held prior to change in job status7.254.67136
Age29.23.132535
Female (dummy)0.500.5001
White (dummy)0.510.5001
Black (dummy)0.280.4501
Married (dummy)0.320.4701
Parenthood (dummy)0.720.4504
Net worth (thousand dollars)61136−300600
Non high school qualification or lower (dummy)0.150.3501
Industry - public sector (dummy)0.220.4101
Industry- professional services (dummy)0.210.4101
Real interest rate (percent)1.801.900.506.02

Estimated job offer rates λj, separation rates δj, and acceptance rates Pj in percent_

Job typesJob offer rates, λjJob separation rates, δjJob acceptance rates, Pj



SingleSecondPost-unempJob 1Job 2SingleSecondPost-unemp
Mean0.780.552.181.241.7161.059.872.4
1 percentile0.180.101.160.140.405.587.0221.6
99 percentile7.365.867.6214.15.3198.998.999.7

Wage rate w1 (cent), estimated value of leisure a (cent), adjustment factor B and E, wage elasticity of optimal leisure time ɛl,w1 and ɛl,w2, actual working hours h1 (weekly hour), estimated optimal working hours h1* h_1^* (weekly hour), and the difference between h1 and h1* h_1^* (weekly hour)_

w1aBEɛl,w1ɛl,w2h1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} h1h1* {{\boldsymbol{h}}_{\bf{1}}} - {\boldsymbol{h}}_{\bf{1}}^{\bf{*}}
Mean44516801.020.67−0.26−0.4039.046.5−7.50
S.D.2394100.010.110.120.228.3917.417.7
1 percentile12611011.000.40−0.71−1.271214.4−57.9
99 percentile134531521.080.92−0.08−0.106597.127.7

Actual working hours h1 (weekly hour), estimated optimal hours h1* h_1^* (weekly hour), Δh=h1−h1* \Delta h = {h_1} - h_1^* (weekly hour)_ q = 2_ Different SD_

h1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δh Pr(h1>h1*) {\bf{Pr(}}{{\boldsymbol{h}}_{\bf{1}}}{\boldsymbol{ > h}}_{\bf{1}}^{\bf{*}}{\bf{)}} overwork groupunderwork group

h1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δhh1 h1* {\boldsymbol{h}}_{\bf{1}}^{\bf{*}} Δh
SD = 039.046.5−7.50.3741.533.18.537.554.4−16.9
SD = 239.846.5−7.10.3740.533.37.238.854.3−15.6
SD = 439.846.5−6.70.3840.534.06.439.454.0−14.5
SD = 840.746.5−5.80.3842.836.26.639.352.8−13.5

Estimated parameter for the value of leisure (measured in e−6), the estimated partial effect ai2αk a_i^2{\alpha _k} - mean, minimum and maximum (measured in cent)_

VariablesαkThe partial effect ai2αk {\boldsymbol{a}}_{\boldsymbol{i}}^{\bf{2}}{{\bf{\alpha }}_{\boldsymbol{k}}}

meanminmax
Constant−857**−2594−30665−793
Previous work experience (weeks)0.060.190.062.31
Number of previous jobs held−8.90**−27.0−318−8.23
Age (years)10.5**31.89.69375
Female (dummy)−27.4*−83.1−980−25.3
White (dummy)17.753.616.3632
Black (dummy)−69.5**−210−2486−64.3
Married (dummy)4.7614.44.40170
Parenthood (dummy)−17.2*−52.2−615−15.9
Net worth (thousands dollar)0.30**0.920.2810.8
Non high school qualification or lower (dummy)−146**−440−5202−134
Industry - public sector (dummy)115**3481064124
Industry- professional services (dummy)63.2**19158.42258
Language: English
Accepted on: Feb 6, 2023
|
Published on: Dec 30, 2023
Published by: Sciendo
In partnership with: Paradigm Publishing Services
Publication frequency: 1 issue per year

© 2023 Simon Ming Sum Lo, published by Sciendo
This work is licensed under the Creative Commons Attribution 4.0 License.