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Note on Adjustment and the Specific Factor Model

Note on Adjustment and the Specific Factor Model

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of absorbing resources <strong>the</strong>n <strong>the</strong> state sector is privatized immediately, <strong>and</strong>output immediately increases. This is called a bang-bang soluti<strong>on</strong>. If <strong>the</strong>reare absorpti<strong>on</strong> costs <strong>the</strong>n <strong>the</strong> transfer of resources is more gradual. But whatexplains <strong>the</strong> pace?Remark 1 If <strong>the</strong> resources are capital <strong>the</strong>n it would be logical to think ofenterprises shutting down freeing resources for <strong>the</strong> private sector. Then <strong>the</strong>mechanism that leads to gradual adjustment would be <strong>the</strong> pace of shutdowns.Remark 2 If we think of <strong>the</strong> resources as labor <strong>the</strong>n we might c<strong>on</strong>sider <strong>the</strong>wage in <strong>the</strong> private sector. If too many workers leave state producti<strong>on</strong> <strong>the</strong>wage in <strong>the</strong> private sector may fall below state wages. 6 Of course this absorptivecapacity will depend <strong>on</strong> <strong>the</strong> capital stock as well.What accounts for <strong>the</strong> pace of adjustment? There are two questi<strong>on</strong>sto ask. First, what factors explain <strong>the</strong> pace of decline of <strong>the</strong> state sector.Sec<strong>on</strong>d, what factors explain <strong>the</strong> rate of absorpti<strong>on</strong> of <strong>the</strong> private sector. Wemight also wish to ask what determines <strong>the</strong> path that resources take from<strong>the</strong> state sector to <strong>the</strong>ir ultimate destinati<strong>on</strong> in <strong>the</strong> private sector.With respect to <strong>the</strong> pace of decline, our questi<strong>on</strong> is how to characterize·L s? One way to think of this is as an exogenous policy instrument that isL s Lchosen by reformers, e.g., · s= −S . For example, <strong>the</strong> tighter is <strong>the</strong> budgetL sc<strong>on</strong>straint (i.e., <strong>the</strong> greater <strong>the</strong> commitment to <strong>the</strong> hard-budget c<strong>on</strong>straint),<strong>the</strong> greater will be this rate. Once we have speciÞed <strong>the</strong> process of absorpti<strong>on</strong><strong>and</strong> <strong>the</strong> costs of unemployment <strong>the</strong>n we can ask questi<strong>on</strong>s about <strong>the</strong> optimalvalue of S.Remark 3 We could think of transiti<strong>on</strong> causing an immediate decline inproductivity in <strong>the</strong> state sector, so that α ↓ α 0 instantaneously. This couldLbe due to disorganizati<strong>on</strong>. This might cause a disc<strong>on</strong>tinuous jump in · sasL swell. This could coincide with a jump in private sector employment.LAlternatively, we could try to endogenize · s. We could argue that thisL s·L sL s =depends <strong>on</strong> <strong>the</strong> gap between productivity in <strong>the</strong> two sectors, i.e.,L−λ[β( · p) − α]; whereλ>0 <strong>and</strong> β 0 < 0. The idea is that c<strong>on</strong>tracti<strong>on</strong> ofL p6 This is ano<strong>the</strong>r way of saying that β is not c<strong>on</strong>stant.9

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