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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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
Journal of Political Economy, 2017, 124(1), 224-264. With G. Grossman & E. Helpman. (simulations, matlab). We introduce two-sided heterogeneity into a Hecksher-Ohlin-style trade model to study factor reallocation and wage inequality within and across sectors. Go to paper
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Journal of Monetary Economics, 2008, Vol. 55, pp. 1054-1066. With M. Galenianos. We characterize price dispersion and welfare in a monetary model with private information: inflation is regressive even though the rich hold more money. Go to paper
Journal of Economic Theory, 2010/145, 1354-1385. With Jan Eeckhout. Search affects competing mechanisms: if meetings with low types reduce those of high types, price posting and market separation replace auctions. 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
Econometrica, 2015, Vol 83 (5), 1849-1875. With K. Kim. [online appendix] We introduce cheap-talk into a market game and study if the equilibrium can replicate the constraint efficient allocation under (reserve) price posting. 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
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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