Abstract
This paper studies the effect of income inequality on selection and aggregate productivity in a general equilibrium model with non-homothetic preferences and product quality. The model matches the empirical fact that an increase in income shifts one’s consumption towards goods that have higher quality both at the intensive and extensive margins. It also implies a negative relationship between the number and quantity of goods consumed by an income group and the earnings of other income groups. The central result is that a mean-preserving spread of the income distribution negatively affects aggregate productivity through the softening of firms’ selection. In the presence of international trade, this effect is amplified with lower trade barriers or a larger number of trade partners. Furthermore, the model implies that the domestic expenditure shares and welfare gains from trade are constant across income groups. A simple quantitative exercise suggests that an income redistribution like the one induced by the US Federal taxes and transfers raises average productivity by about 3%.
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References
Acemoglu, D.: Technical change, inequality, and the labor market. J. Econ. Lit. 40(1), 7–72 (2002)
Aghion, P., Caroli, E., Garcia-Penalosa, C.: Inequality and economic growth: the perspective of the new growth theories. J. Econ. Lit. 37(4), 1615–1660 (1999)
Arkolakis, C., Costinot, A., Rodriguez-Clare, A.: New trade models, same old gains? Am. Econ. Rev. 102(1), 94–130 (2012)
Arkolakis, C., Costinot, A., Donaldson, D., Rodríguez-Clare, A.: The elusive pro-competitive effects of trade. Rev. Econ. Stud. 86(1), 46–80 (2019)
Atkinson, A.B., Piketty, T., Saez, E.: Top incomes in the long run of history. J. Econ. Lit. 49(1), 3–71 (2011)
Behrens, K., Murata, Y.: Globalization and individual gains from trade. J. Monet. Econ. 59(8), 703–720 (2012)
Behrens, K., Pokrovsky, D., Zhelobodko, E.: Market size, entrepreneurship, sorting, and income inequality. CEPR working paper (2014)
Berg, A., Ostry, J.D., Tsangarides, C.G., Yakhshilikov, Y.: Redistribution, inequality, and growth: new evidence. J. Econ. Growth 23(3), 259–305 (2018)
Berman, E., Bound, J., Machin, S.: Implications of skill-biased technological change: international evidence. Quart. J. Econ. 113(4), 1245–1279 (1998)
Berry, S., Levinsohn, L., Pakes, A.: Automobile prices in market equilibrium. Econometrica 63(4), 841–890 (1995)
Bertoletti, P., Etro, F., Simonovska, I.: International trade with indirect additivity. Am. Econ. J. Microecon. 10(2), 1–57 (2018)
Bils, M., Klenow, P.J.: Quantifying quality growth. Am. Econ. Rev. 91(4), 1006–1030 (2001)
Boppart, T.: Structural change and the Kaldor facts in a growth model with relative price effects and non-Gorman preferences. Econometrica 82(6), 2167–2196 (2014)
Borusyak, K., Jaravel, X.: The distributional effects of trade: theory and evidence from the United States. London School of Economics Working Paper (2021)
Cingano, F.: Trends in income inequality and its impact on economic growth. OECD Social, Employment and Migration Working Papers No. 163 (2014)
Collard-Wexler, A., De Loecker, J.: Reallocation and technology: evidence from the US steel industry. Am. Econ. Rev. 105(1), 131–171 (2015)
Comin, D., Lashkari, D., Mestieri, M.: Structural change with long-run income and price effects. NBER Working Paper No. 21595 (2018)
Costinot, A., Vogel, J.: Matching and inequality in the world economy. J. Polit. Econ. 118(4), 747–786 (2010)
De Loecker, J., Warzynski, F.: Markups and firm-level export status. Am. Econ. Rev. 102(6), 2437–71 (2012)
De Loecker, J., Goldberg, P.K., Khandelwal, A.K., Pavcnik, N.: Prices, markups, and trade reform. Econometrica 84(2), 445–510 (2016)
Deaton, A., Muellbauer, J.: An almost ideal demand system. Am. Econ. Rev. 70(3), 312–326 (1980)
Dhingra, S., Morrow, J.: Monopolistic competition and optimum product diversity under firm heterogeneity. J. Polit. Econ. 127(1), 196–232 (2019)
Eaton, J., Kortum, S.: Technology, geography, and trade. Econometrica 70(5), 1741–1779 (2002)
Edmond, C., Midrigan, V., Daniel Yi, X.: Competition, markups, and the gains from international trade. Am. Econ. Rev. 105(10), 3183–3221 (2015)
Espoir, D.K., Ngepah, N.: Income distribution and total factor productivity: a cross-country panel cointegration analysis. Int. Econ. Econ. Policy 2021, 1–38 (2021)
Faber, B., Fally, T.: Firm heterogeneity in consumption baskets: evidence from home and store scanner data. UC-Berkeley Working Paper. Rev. Econ. Stud. (2021, Forthcoming)
Faber, B.: Trade liberalization, the price of quality, and inequality: evidence from Mexican store prices. UC-Berkeley Working Paper (2014)
Fajgelbaum, P.D., Khandelwal, A.K.: Measuring the unequal gains from trade. Quart. J. Econ. 131(3), 1113–1180 (2016)
Fieler, A.C.: Nonhomotheticity and bilateral trade: evidence and a quantitative explanation. Econometrica 79(4), 1069–1101 (2011)
Foellmi, R., Zweimüller, J.: Income distribution and demand-induced innovations. Rev. Econ. Stud. 73(4), 941–960 (2006)
Foellmi, R., Wuergler, T., Zweimüller, J.: The macroeconomics of model T. J. Econ. Theory 153, 617–647 (2014)
Foellmi, R., Hepenstrick, C., Zweimüller, J.: International arbitrage and the extensive margin of trade between rich and poor countries. Rev. Econ. Stud. 85(1), 475–510 (2018)
Fuentes, R., Mishrab, T., Scaviac, J., Parhi, M.: On optimal long-term relationship between TFP, institutions, and income inequality under embodied technical progress. Struct. Chang. Econ. Dyn. 31, 89–100 (2014)
Galor, O., Moav, O.: From physical to human capital accumulation: inequality and the process of development. Rev. Econ. Stud. 71(4), 1001–1026 (2004)
Grossman, G.M., Helpman, E.: Growth, trade, and inequality. Econometrica 86(1), 37–83 (2018)
Grossman, G.M., Rossi-Hansberg, E.: Trading tasks: a simple theory of offshoring. Am. Econ. Rev. 98(5), 1978–1997 (2008)
Grossman, G.M., Helpman, E., Kircher, P.: Matching, sorting, and the distributional effects of international trade. J. Polit. Econ. 125(1), 224–264 (2017)
Hayes, K.J., Nieswia, M., Slottje, D.J., Redfearn, M., Wolff, E.N.: Productivity and income inequality growth rates in the United States. In: Contributions to Economic Analysis, vol. 223. Elsevier, pp. 299-327 (1994)
Helpman, E., Itskhoki, O., Redding, S.: Inequality and unemployment in a global economy. Econometrica 78(4), 1239–1283 (2010)
Hottman, C.J., Monarch, R.: A matter of taste: estimating import price inflation across US income groups. J. Int. Econ. 127, 103382 (2020)
Hummels, D., Klenow, P.J.: The variety and quality of a nation’s exports. Am. Econ. Rev. 95(3), 704–723 (2005)
Jackson, L.F.: Hierarchic demand and the Engel curve for variety. Rev. Econ. Stat. 66(1), 8–15 (1984)
Kim, R., Vogel, J.: Trade and Welfare (across Local Labor Markets). Working paper, UCLA (2020)
Klepper, S., Thompson, P.: Submarkets and the evolution of market structure. RAND J. Econ. 37(4), 861–886 (2006)
Krugman, P.: Scale economies, product differentiation, and the pattern of trade. Am. Econ. Rev. 70(5), 950–959 (1980)
Li, N.: An Engel curve for variety. Rev. Econ. Stat. 103(1), 72–87 (2021)
Matsuyama, K.: The rise of mass consumption societies. J. Polit. Econ. 110(5), 1035–1070 (2002)
Matsuyama, K.: Engel’s law in the global economy: demand-induced patterns of structural change, innovation, and trade. Econometrica 87, 497–528 (2019)
McCalman, P.: International trade, income distribution and welfare. J. Int. Econ. 110, 1–15 (2018)
Melitz, M.J.: The impact of trade on intra-industry reallocations and aggregate industry productivity. Econometrica 71(6), 1695–1725 (2003)
Melitz, M.J., Ottaviano, G.: Market size, trade, and productivity. Rev. Econ. Stud. 75(1), 295–316 (2008)
Murphy, K.M., Shleifer, A., Vishny, R.: Income distribution, market size, and industrialization. Quart. J. Econ. 104(3), 537–564 (1989)
Mussa, M., Rosen, S.: Monopoly and product quality. J. Econ. Theory 18(2), 301–317 (1978)
Nigai, S.: On measuring the welfare gains from trade under consumer heterogeneity. Econ. J. 126(593), 1193–1237 (2016)
Novy, D.: Gravity redux: measuring international trade costs with panel data. Econ. Inq. 51(1), 101–121 (2013)
OECD. Promoting Productivity and Equality: A Twin Challenge. In: OECD Economic Outlook, Volume 2016 Issue 1 (2016)
Parenti, M., Ushchev, P., Thisse, J.-F.: Toward a theory of monopolistic competition. J. Econ. Theory 167, 86–115 (2017)
Paul, P.: Historical patterns of inequality and productivity around financial crises. Working Paper. Federal Reserve Bank of San Francisco (2020)
Picard, P.M., Tampieri, A.: Vertical differentiation and trade among symmetric countries. Econ. Theor. 71(4), 1319–1355 (2021)
Piketty, T.: Capital in the 21st Century. Harvard University, Cambridge (2014)
Pollak, R.A.: Additive utility functions and linear Engel curves. Rev. Econ. Stud. 38(4), 401–414 (1971)
Simonovska, I.: Income differences and prices of tradables: insights from an online retailer. Rev. Econ. Stud. 82(4), 1612–1656 (2015)
Wuergler, T.: Income distribution and product quality versus variety. SSRN Working Paper 1645855 (2010)
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We are grateful to the Co-Editor Costas Arkolakis and two anonymous referees for their comments and suggestions that substantially improved the paper. We also thank Madhav Aney, Pao-Li Chang, Fali Huang, Nicolas Jacquet, Jing Li, Andres Rodriguez-Clare, and Ping Wang for their helpful comments. We thank Xin Yi for his excellent research assistance.
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Hsu, WT., Lu, L. & Picard, P.M. Income inequality, productivity, and international trade. Econ Theory 76, 203–249 (2023). https://doi.org/10.1007/s00199-022-01456-y
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DOI: https://doi.org/10.1007/s00199-022-01456-y