Wage Traps as Causes of Income Stagnation in Poor Countries
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1 Institute of Economics Department of Economics University of St. Gallen Wage Traps as Causes of Income Stagnation in Poor Countries Dennis Gärtner University of Zurich, Switzerland Manfred Gärtner University of St. Gallen, Switzerland Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 1
2 Research on wage traps O Definition We speak of a wage trap when the labor market features multiple equilibria, one of which generates labor incomes that fall short of subsistence needs. O Pertinent research in labor economics Outward sloping labor supply; S-shaped, inverted S ; Z-shaped. e.g. Krueger (1962); Barzel and McDonald (1973); Dessing (2002) O Pertinent research in development economics In context of child labor; emphasis on remedies e.g. Basu and Van (1998); Basu (1999); Basu (2000); Dessing (2002) Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 2
3 The general (Z-shaped) labor supply curve O Three distinct segments - backward-bending (negatively sloped at high wage rates) - normal (positively sloped at medium wage rates - outward-sloping (negatively sloped) at subsistence-level labor income Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 3
4 The case of one subsistence-level equilibrium Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 4
5 The case of multiple near-subsistence equilibria Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 5
6 Household utility function (I) Problem: Households are indifferent between all points below subsistence threshold MIN C L S w MIN consumption empoyment survival (real) wage rate subsistence level Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 6
7 Household utility function (II) C L S w MIN consumption empoyment survival (real) wage rate subsistence level Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 7
8 Household utility function (III) C consumption L empoyment * rate of time preference w (real) wage rate MIN subsistence level Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 8
9 When do wage traps occur? supply = demand instability in equilibrium (1) wage elasticity of labor supply wage elasticity of labor demand instability in equilibrium (2) subsistence-level labor supply wage elasticity of labor supply when subsistence level is parametric existence condition for wage trap when subsistence level is parametric Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 9
10 Specific functional forms: Cobb-Douglas Cobb-Douglas production function Wage-elasticity of labor demand when production is Cobb-Douglas Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 10
11 When is a subsistence-level equilibrium unstable? O Formally: wage-elasticity of labor supply > wage-elasticity of labor demand O Intuitively: a subsistence-level equilibrium is unstable if labor income falls as we move down the labor demand curve. So either - Output must fall as we move down the labor demand curve or - the share of labor income must fall as we move down labor demand. O Does not hold when production function is Cobb-Douglas see graphical thought experiment Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 11
12 Specific functional forms: CES Parameter constellations exist that generate wage traps whenthe production function is CES. Example: Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 12
13 Modifications to Cobb-Douglas scenario that make wage traps more likely O Modifications to labor supply Wage trap occurs whenever Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 13
14 Modifications to Cobb-Douglas scenario that make wage traps more likely O Modifications to demand side Cobb-Douglas with labor efficiency Labor efficiency depends on wage rate Labor demand Wage elasticity of labor demand standard case; no wage trap wage trap possible wage trap disappears; efficiency wage scenario kicks in Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 14
15 Modifications to Cobb-Douglas scenario that make wage traps more likely O Modifications to demand side Cobb-Douglas with labor efficiency Labor efficiency depends on wage rate Labor demand Wage elasticity of labor demand Wage trap possible Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 15
16 Efficiency wages and wage traps Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 16
17 Policy implications O Foreign aid Needs to be substantial (big push); takes long time for effects to materialize O Banning child labor Effective! Family income rises immediately. Schooling improves human capital. BUT family income remains trapped below subsistence! O Minimum wage laws Highly effective. Rises family incomes and improves schooling. May generate escape from wage trap. Effect on child labor may be less direct. O Labor unions May prevent labor market from falling into wage trap. Removes incentives for child labor. BUT may generate involuntary unemployment. O Fair trade agreements May spur or facility above measures, with similar effects. Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 17
18 A ban on child labor OR a minimum wage Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 18
19 From labor market to Solow model Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 19
20 Labor market dynamics Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 20
21 Two identical countries with different histories May international capital flows help? Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 21
22 Main results O Outward-sloping labor supply curves near subsistence levels do not necessarily generate multiple equilibria and wage traps. O Wage traps cannot occur in scenarios with parametric subsistence levels and conventional Cobb-Douglas production. O Wage traps may occur under three stylized scenarios: A. When labor income falls as we move down the labor demand curve. A1. This may happen when income increases while the share of labor income falls. A2. It may also happen at constant labor income shares, as in Cobb-Douglas, when labor efficiency falls when the wage rate falls. B. When subsistence needs are not parametric, but rise with employment. O In the presence of wage traps, labor market features such as minimum wages or monopolistic trade unions may appear in a new light. O Wage traps may translate into poverty traps in neoclassical growth models and affect growth paths in models of endogenous growth. Dennis Gärtner and Manfred Gärtner EEA Annual Conference, Boston, March 7-9, 2008, slide 22
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