We investigate the role of search frictions in markets with price competition and how it leads to sorting of heterogeneous agents. There are two aspects of value creation: the match value when two agents actually trade and the probability of trading governed by the search technology. We show that positive assortative matching obtains when complementarities in the former outweigh complementarities in the latter. This happens if and only if the match-value function is root-supermodular, that is, its nth root is supermodular, where n reflects the elasticity of substitution of the search technology. This condition is weaker than the condition required for positive assortative matching in markets with random search. Keywords: Competitive search equilibrium, directed search, two-sided matching, decentralized price competition, complementarity, root-supermodularity, sorting
Sorting and Decentralized Price Competition
Econometrica, 2010, Vol. 78(2), 539–574. With Jan Eeckhout.
In search models with price competition the sorting of heterogeneous buyers and sellers depends on complementarities both in output and in search.
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Econometrica. 2018 86(1): 85-132. With Jan Eeckhout. When heterogeneous firms can choose both how many and which workers to hire, we illustrate consequences for firm-size and wage inequality. Note a correction for the condition with capital: corrigendum. Go to paper
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Review of Economic Studies, 2011, Vol. 78 (3), 872-906. With Jan Eeckhout. Wage and employment data can identify the strength of sorting in search models, though two-sided fixed effects are always mis-specified. Go to paper
International Economic Review, 2012, Vol 53 (1), 1-21. With M. Galenianos. We study a finite directed-search wage posting game among heterogeneous firms (allowing for risk aversion, moral hazard,…), including limit theorems. Go to paper
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International Economic Review, 2011, 52(1), pp 85-104. With M. Galenianos and G. Virag. [technical appendix] In directed search with a finite population, minimum wages improve employment but reduce output and efficiency, and reverse for unemployment benefits. Go to paper
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Quarterly Journal of Economics, 2008/123(2), pp. 621-661. With A. Postlewaite. [technical appendix] In a model of social learning, the better informed (wealthier) consumers get preferential service because their consumption signals high quality to others. Go to paper
Econometrica, 2019 87(4): 1081-1113. With J. Greenwood, C. Santos and M. Tertilt A calibrated equilibrium search model of an HIV/AIDS epidemic is developed to analyze the direct impact and the behavioral adjustment to policies. Go to paper
American Economic Review P&P, 2017, 107(5): 158–162 With J. Greenwood, C. Santos & M. Tertilt. In a quantitative equilibrium model of sexual behavior and HIV/AIDS transmission we study policies that encourage long-term partnerships. Go to paper
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American Economic Review, 2015, Vol 105 (10), 3030-3060. With Leo Kaas. We propose a tractable competitive search model with heterogeneous multi-worker firms, and investigate firm growth and business cycles. Go to paper