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The Benefits to Taxpayers from Increases in Students - RAND ...

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Appendix C<br />

Social Program Participation and Costs<br />

Analytic Approach<br />

In the standard <strong>in</strong>come-leisure model, <strong>in</strong>dividuals trade off leisure and <strong>in</strong>come. Under<br />

the presence of some guaranteed (but low) amount of <strong>in</strong>come <strong>from</strong> social support and<br />

<strong>in</strong>surance programs, the particular outcome for any <strong>in</strong>dividual depends on his or her<br />

personal characteristics (preferences) and the wages that he or she can command <strong>in</strong> the<br />

labor market. <strong>The</strong> decision <strong>to</strong> participate <strong>in</strong> a social program is dictated by a comparison<br />

of the benefits available <strong>from</strong> that program and the earn<strong>in</strong>gs forgone <strong>in</strong> the labor<br />

market.<br />

<strong>The</strong> more educated the <strong>in</strong>dividual, the more he or she can command <strong>in</strong> the labor<br />

market. <strong>The</strong>refore, <strong>in</strong>creased educational atta<strong>in</strong>ment makes leisure and program participation<br />

less attractive. Similarly, education can change an <strong>in</strong>dividual’s preference<br />

curve, lower<strong>in</strong>g the stigma for program utilization, thus mov<strong>in</strong>g him or her <strong>to</strong> a lower<br />

leisure po<strong>in</strong>t even assum<strong>in</strong>g no change <strong>in</strong> wages. Usually, both wage and preference<br />

effects will act <strong>to</strong>gether <strong>to</strong> produce notable changes <strong>in</strong> behavior.<br />

<strong>The</strong>refore, we model program utilization and benefits as a function of <strong>in</strong>come<br />

and <strong>in</strong>dividual attributes, <strong>in</strong>clud<strong>in</strong>g educational atta<strong>in</strong>ment. However, education<br />

also affects wages; i.e., it affects program use both directly and <strong>in</strong>directly. We further<br />

reduce the model <strong>in</strong><strong>to</strong> one with two major <strong>in</strong>puts—education and other personal<br />

characteristics—as follows:<br />

Y = f(E, D),<br />

where Y is amount of program <strong>in</strong>come, E is a measure of educational atta<strong>in</strong>ment, and<br />

D is a vec<strong>to</strong>r of demographic characteristics.<br />

95

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