<p>Based on a welfare-maximization model of skilled migration where education generates a positive externality, I examine whether the early view regarding brain drain’s (BD) negative impact on source countries – and its associated Bhagwati tax (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation>) – is compatible with the recent more optimistic BD-induced brain gain view. I derive BD’s impact on education and welfare, the optimal education subsidy (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation>), and a combination of <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq4"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation>, when residents’ (emigrants’) weight in the government’s objective function is (<InlineEquation ID="IEq6"> <EquationSource Format="TEX">\(\:1-\beta\:\)</EquationSource> </InlineEquation>), where <InlineEquation ID="IEq7"> <EquationSource Format="TEX">\(\:\beta\:\:\in\:\left(0,\:1\right)\)</EquationSource> </InlineEquation>. I find that: <i>i</i>) education, welfare and <InlineEquation ID="IEq8"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation> are higher (lower) under an open than under a closed economy for <InlineEquation ID="IEq9"> <EquationSource Format="TEX">\(\:1-\beta\:\)</EquationSource> </InlineEquation> larger (smaller) than the ratio of source-country to host-country income; <i>ii</i>) <InlineEquation ID="IEq10"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation> and <InlineEquation ID="IEq11"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation> are policy complements, i.e., given the model’s parameters (such as <InlineEquation ID="IEq12"> <EquationSource Format="TEX">\(\:\beta\:\)</EquationSource> </InlineEquation>), the impact of an increase in <InlineEquation ID="IEq13"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation> is also obtainable with an increase in <InlineEquation ID="IEq14"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation>; and <i>iii</i>) <InlineEquation ID="IEq15"> <EquationSource Format="TEX">\(\:s\)</EquationSource> </InlineEquation> (<InlineEquation ID="IEq16"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation>) increases (declines) with <InlineEquation ID="IEq17"> <EquationSource Format="TEX">\(\:1-\beta\:\)</EquationSource> </InlineEquation>. Two implications and a proposal are: <i>a</i>) The early literature, where <InlineEquation ID="IEq18"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation> was considered, abstracted from migrants’ welfare (i.e., the <InlineEquation ID="IEq19"> <EquationSource Format="TEX">\(\:1-\beta\:=0\)</EquationSource> </InlineEquation> case), which is precisely the case where optimal tax <InlineEquation ID="IEq20"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation> is largest; <i>b</i>) A second policy instrument is beneficial especially when constraints exist on changes in the other one. Assuming a low emigrants’ value for the government, opening up the economy implies a lower education subsidy, so raising the Bhagwati tax <InlineEquation ID="IEq21"> <EquationSource Format="TEX">\(\:t\)</EquationSource> </InlineEquation> should be beneficial if, as is typically the case, education is viewed as a right and parents’ and teachers’ organizations as well as the education ministry and bureaucracy make it politically difficult if not impossible to reduce the education subsidy; <i>c</i>) Proposals for collecting the Bhagwati tax is presented.</p>

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Brain drain, education subsidy and the Bhagwati tax

  • Maurice Schiff

摘要

Based on a welfare-maximization model of skilled migration where education generates a positive externality, I examine whether the early view regarding brain drain’s (BD) negative impact on source countries – and its associated Bhagwati tax ( \(\:t\) ) – is compatible with the recent more optimistic BD-induced brain gain view. I derive BD’s impact on education and welfare, the optimal education subsidy ( \(\:s\) ), and a combination of \(\:s\) and \(\:t\) , when residents’ (emigrants’) weight in the government’s objective function is ( \(\:1-\beta\:\) ), where \(\:\beta\:\:\in\:\left(0,\:1\right)\) . I find that: i) education, welfare and \(\:s\) are higher (lower) under an open than under a closed economy for \(\:1-\beta\:\) larger (smaller) than the ratio of source-country to host-country income; ii) \(\:s\) and \(\:t\) are policy complements, i.e., given the model’s parameters (such as \(\:\beta\:\) ), the impact of an increase in \(\:s\) is also obtainable with an increase in \(\:t\) ; and iii) \(\:s\) ( \(\:t\) ) increases (declines) with \(\:1-\beta\:\) . Two implications and a proposal are: a) The early literature, where \(\:t\) was considered, abstracted from migrants’ welfare (i.e., the \(\:1-\beta\:=0\) case), which is precisely the case where optimal tax \(\:t\) is largest; b) A second policy instrument is beneficial especially when constraints exist on changes in the other one. Assuming a low emigrants’ value for the government, opening up the economy implies a lower education subsidy, so raising the Bhagwati tax \(\:t\) should be beneficial if, as is typically the case, education is viewed as a right and parents’ and teachers’ organizations as well as the education ministry and bureaucracy make it politically difficult if not impossible to reduce the education subsidy; c) Proposals for collecting the Bhagwati tax is presented.