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Published bySamson Fields Modified over 8 years ago
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Decisions under uncertainty Example: Labor supply and tax evasion
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Nested structure Honest or evader? Given honest: Hours supplied Given evader: Hours supplied in the regular as well as in the irregular market
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Given honest strategy Budget constraint
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Given honest strategy Random utility function
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Given honest strategy Expected indirect utlity
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Given honest strategy Conditional choice probability,
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Given honset strategy Clogit probability
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Given evasion strategy Budget constraint, detected
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Given evasion strategy Budget constraint, not detected
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Given evasion strategy Rank-dependent expected utlity
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Given evasions strategy Given a>0
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Given evasion strategy Given a>0
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Given evasion strategy Random utility function
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Given evasion strategy Expected indirect utility
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Given evasion strategy Conditional choice probability
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Honesty or evasion? The choice probabilities
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Norm and opportunity density G(z)=exp(zg) The choice probabilities are weighted choice probabilities
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Choice probabilities Unconditional probabilities
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The likelihood
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Empirical specification Deterministic part of the utility function
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Variables in the utility function C= disposable household income h=annual hours worked X1=age in years X2=1if female, =0 if male
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Variables in opportunity density Z1=1 if the the individua thinks that tax evasion is accepted in society, =0 else Z2=1 if the individual works in the construction sector, =0 else Z3=1 if the individual works in the public sector,=0 else
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Variables/parameter s CoefficientEstimatest-values C, constant 00 3.01767.9 C,exponent 0.71969.4 Leisure, constant 00 10.54023.5 Leisure age 11 0.02610.5 Leisure female 22 3.23742.9 Rank-dependencea0.35671.8 Opportunity,constan t g0g0 -4.8401-16.8 Opportunity, bad norm g1g1 0.97093.3 Opportunity construction g2g2 1.20293.2 Opportunity publicg3g3 -0.6427-0.8 Number of observations 626 Log-likelihood-1068 McFaddens rho0.54 Source: Kristine von Simson, Skatteunndragelse og arbeidstilbud, Masteroppgave, 2005, surveydata 2003
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