Abstract
This paper develops a multi-country, multi-sector, and multi-factor model of two-sided matching between heterogeneous workers and entrepreneurs in which agents in different countries can form cross-country teams. Sorting, matching, and sharing problems are all considered in a unified framework. Equilibrium is characterized by endogenous sharing rules, which break away from competitive marginal productivity theories of factor returns. I illustrate that a bilateral economic integration agreement can affect the welfare of agents in an unrelated third country, and that a reduction in the cost of sector-specific matching can increase welfare for all agents without conflicts of interest.
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Alvarez, F., Lucas, R.E.: General equilibrium analysis of the eaton-kortum model of international trade. J. Monetary Econ. 54(6), 1726–1768 (2007)
Antràs, P., Garicano, L., Rossi-Hansberg, E.: Offshoring in a knowledge economy. Q. J. Econ. 121(1), 31–77 (2006)
Antras, P., De Gortari, A., Itskhoki, O.: Globalization, inequality and welfare. J. Int. Econ. 108, 387–412 (2017)
Azevedo, E.M., Leshno, J.D.: A supply and demand framework for two-sided matching markets. J. Political Econ. 124(5), 1235–1268 (2016)
Becker, G.S.: A theory of marriage: Part i. J. Political Econ. 81(4), 813–846 (1973)
Becker, G.S.: A theory of marriage: part ii. J. Political Econ. 82(2), 11–26 (1974)
Bernard, A.B., Moxnes, A., Ulltveit-Moe, K.H.: Two-sided heterogeneity and trade. Rev. Econ. Stat. 100(3), 424–439 (2018)
Berry, S., Gandhi, A., Haile, P.: Connected substitutes and invertibility of demand. Econometrica 81(5), 2087–2111 (2013)
Bojilov, R., Galichon, A.: Matching in closed-form: equilibrium, identification, and comparative statics. Econ. Theory 61(4), 587–609 (2016)
Card, D., Heining, J., Kline, P.: Workplace heterogeneity and the rise of west german wage inequality. Q. J. Econ. 128(3), 967–1015 (2013)
Chan, M., Kroft, K., Mourifié, I.: An empirical framework for matching with imperfect competition. URL https://site.stanford.edu/sites/g/files/sbiybj8706/f/5161-firm-employee2019_08_18.pdf (2019)
Chen, L., Choo, E.S.Y., Galichon, A., Weber, S.: Matching function equilibria: Existence, uniqueness and estimation. URL https://ssrn.com/abstract=3387335 (2019). Accessed 5 Aug 2020
Choi, J.: Offshoring, matching, and income inequality. URL http://www.jaerimchoi.com/uploads/9/4/6/2/94627730/offshoring_and_inequality_f.pdf (2020). Accessed 5 Aug 2020
Choo, E., Siow, A.: Who marries whom and why. J. Political Econ. 114(1), 175–201 (2006)
Costinot, A.: An elementary theory of comparative advantage. Econometrica 77(4), 1165–1192 (2009)
Decker, C., Lieb, E.H., McCann, R.J., Stephens, B.K.: Unique equilibria and substitution effects in a stochastic model of the marriage market. J. Econ. Theory 148(2), 778–792 (2013)
Dupuy, A., Weber, S.: Marital patterns and income inequality. URL https://ssrn.com/abstract=3156484 (2019). Accessed 5 Aug 2020
Eaton, J., Kortum, S.: Technology, geography, and trade. Econometrica 70(5), 1741–1779 (2002)
Eaton, J., Jinkins, D., Tybout, J., Xu, D.: Two-sided search in international markets. URL https://ideas.repec.org/p/red/sed016/973.html (2016). Accessed 5 Aug 2020
Eeckhout, J., Kircher, P.: Assortative matching with large firms. Econometrica 86(1), 85–132 (2018)
Gale, D.: Bargaining and competition part i: characterization. Econ. J. Econ. Soc. 54(4), 785–806 (1986a)
Gale, D.: Bargaining and competition part ii: existence. Econ. J. Econ. Soc. 54(4), 807–818 (1986b)
Gale, D.: Limit theorems for markets with sequential bargaining. J. Econ. Theory 43(1), 20–54 (1987)
Galichon, A., Salanié, B.: Cupid’s invisible hand: Social surplus and identification in matching models. Working Paper URL https://ssrn.com/abstract=1804623 (2020). Accessed 5 Aug 2020
Galichon, A., Kominers, S.D., Weber, S.: Costly concessions: an empirical framework for matching with imperfectly transferable utility. J. Political Econ. 127(6), 2875–2925 (2019)
Galle, S., Rodriguez-Clare, A., Yi, M.: Slicing the pie: Quantifying the aggregate and distributional effects of trade. NBER Working Paper No 23737 (2017)
Garicano, L.: Hierarchies and the organization of knowledge in production. J. political Econ. 108(5), 874–904 (2000)
Gayle, G.L., Shephard, A.: Optimal taxation, marriage, home production, and family labor supply. Econometrica 87(1), 291–326 (2019)
Graham, B.S.: Comparative static and computational methods for an empirical one-to-one transferable utility matching model. Adv Econ 31, 153–181 (2013)
Greenwood, J., Guner, N., Kocharkov, G., Santos, C.: Marry your like: assortative mating and income inequality. Am. Econ. Rev. 104(5), 348–353 (2014)
Grossman, G.M.: Heterogeneous workers and international trade. Rev. World Econ. 149(2), 211–245 (2013)
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. Political Econ. 125(1), 224–264 (2017)
Heckman, J.J.: What has been learned about labor supply in the past twenty years? Am. Econ. Rev. 83(2), 116–121 (1993)
Jones, C.I., Klenow, P.J.: Beyond gdp? welfare across countries and time. Am. Econ. Rev. 106(9), 2426–57 (2016)
Kojima, F., Pathak, P.A., Roth, A.E.: Matching with couples: stability and incentives in large markets. Q. J. Econ. 128(4), 1585–1632 (2013)
Kremer, M., Maskin, E.: Globalization and inequality. URL http://piketty.pse.ens.fr/fichiers/KremerMaskin2003.pdf (2006). Accessed 5 Aug 2020
Krolikowski, P.M., McCallum, A.H.: Goods-market frictions and international trade. URL https://ssrn.com/abstract=2889761 (2018). Accessed 5 Aug 2020
Lee, S.: Incentive compatibility of large centralized matching markets. Rev. Econ. Stud. 84(1), 444–463 (2016)
Manea, M.: Bargaining in stationary networks. Am. Econ. Rev. 101(5), 2042–2080 (2011)
Mas-Colell, A., Whinston, M.D., Green, J.R.: Microeconomic Theory, vol. 1. Oxford University Press, New York (1995)
McFadden, D.: Conditional logit analysis of qualitative choice behavior. Front. Econ. 105–142 (1974)
Melitz, M.J.: The impact of trade on intra-industry reallocations and aggregate industry productivity. Econometrica 71(6), 1695–1725 (2003)
Menzel, K.: Large matching markets as two-sided demand systems. Econometrica 83(3), 897–941 (2015)
Mortensen, D.T., Pissarides, C.A.: Job creation and job destruction in the theory of unemployment. Rev. Econ. Stud. 61(3), 397–415 (1994)
Rodríguez-Clare, A.: Offshoring in a ricardian world. Am. Econ. J. Macroecon. 2(2), 227–58 (2010)
Rubinstein, A., Wolinsky, A.: Equilibrium in a market with sequential bargaining. Econometrica 53(5), 1133–50 (1985)
Schoen, R.: The harmonic mean as the basis of a realistic two-sex marriage model. Demography 18(2), 201–216 (1981)
Siow, A.: How does the marriage market clear? an empirical framework. Can. J. Econ. Revue Canadienne d’économique 41(4), 1121–1155 (2008)
Siow, A.: Testing becker’s theory of positive assortative matching. J. Labor Econ. 33(2), 409–441 (2015)
Small, K., Rosen, H.: Applied welfare economics with discrete ce models. Econometrica 49(1), 105–30 (1981)
Small, K.A.: A discrete choice model for ordered alternatives. Econometrica 55(2), 409–424 (1987)
Viner, J.: Customs Union Issue. Carnegie Endowment for International Peace, New York (1950)
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I am grateful to Rob Feenstra for his helpful advice and guidance at the early stage. This research was inspired by conversation with him at UC Davis. Special thanks also go to the Co-Editor and three anonymous reviewers for their constructive feedback that immensely improved the quality of the paper. I sincerely appreciate Alan Taylor, Deborah Swenson, and the late Martine Quinzii for their fruitful comments. I also thank Nikhil Agarwal, Yi-Fan Chen, Carl Davidson, Yukihiko Funaki, Athanasios Geromichalos, Eun Jeong Heo, Yu-Wei Hsieh, Jota Ishikawa, Biung-Ghi Ju, Ruben Juarez, SangMok Lee, Konrad Menzel, Liang Wang, Mingzhi Xu, and participants at the UC Davis Macro/International Brown Bag, the Fall 2018 Midwest International Trade Conference, the Australian Trade Workshop 2019, and the University of Hawaii at Manoa for helpful discussions.
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Choi, J. Two-sided heterogeneity, endogenous sharing, and international matching markets. Econ Theory 72, 473–509 (2021). https://doi.org/10.1007/s00199-020-01297-7
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DOI: https://doi.org/10.1007/s00199-020-01297-7