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Competitive search with two-sided risk aversion

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  • Jerez, Belén

Abstract

We analyze a static competitive search model where risk-averse individuals with different wealth levels trade an indivisible good. The real estate market is a particularly relevant application. We show that the equilibrium is constrained efficient. Other properties of the equilibrium are derived, including the generalized version of the Hosios (1990) rule for this environment. Under risk aversion, buyers and sellers evaluate the trade-off between prices and trading probabilities differently as their wealth increases. As they become richer, buyers are relatively less concerned about paying higher prices and more concerned about increasing their trading probability. Conversely, richer sellers care less about increasing the probability of a sale than poorer sellers, and they care more about trading at a higher price. This results in positive sorting inequilibrium, that is, wealthier (poorer) buyers and sellers trading with each other. As transactions among wealthier agents involve higher prices, the equilibrium features frictional price dispersion. By contrast, with transferable utility, all individuals would trade at the same price, irrespectively of their wealth.

Suggested Citation

  • Jerez, Belén, 2022. "Competitive search with two-sided risk aversion," UC3M Working papers. Economics 34383, Universidad Carlos III de Madrid. Departamento de Economía.
    • Handle: RePEc:cte:werepe:34383
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    References listed on IDEAS

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    1. Menzio, Guido & Shi, Shouyong, 2010. "Block recursive equilibria for stochastic models of search on the job," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1453-1494, July.
    2. Jan Eeckhout & Alireza Sepahsalari, 2020. "The Effect of Wealth on Worker Productivity," Bristol Economics Discussion Papers 20/731, School of Economics, University of Bristol, UK.
    3. Acemoglu, Daron & Shimer, Robert, 1999. "Holdups and Efficiency with Search Frictions," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 827-849, November.
    4. Jerez, Belén, 2014. "Competitive equilibrium with search frictions: A general equilibrium approach," Journal of Economic Theory, Elsevier, vol. 153(C), pages 252-286.
    5. Shouyong Shi, 2009. "Directed Search for Equilibrium Wage-Tenure Contracts," Econometrica, Econometric Society, vol. 77(2), pages 561-584, March.
    6. Antonia Díaz & Belén Jerez & Juan Pablo Rincón-Zapatero, 2023. "Housing Prices and Credit Constraints in Competitive Search," The Economic Journal, Royal Economic Society, vol. 134(657), pages 220-270.
    7. Michael Peters, 1997. "On the Equivalence of Walrasian and Non-Walrasian Equilibria in Contract Markets: The Case of Complete Contracts," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 64(2), pages 241-264.
    8. Jan Eeckhout & Philipp Kircher, 2010. "Sorting and Decentralized Price Competition," Econometrica, Econometric Society, vol. 78(2), pages 539-574, March.
    9. Moen, Espen R, 1997. "Competitive Search Equilibrium," Journal of Political Economy, University of Chicago Press, vol. 105(2), pages 385-411, April.
    10. Pietro Garibaldi & Espen R. Moen, 2010. "Job to Job Movements in a Simple Search Model," American Economic Review, American Economic Association, vol. 100(2), pages 343-347, May.
    11. Mas-Colell, Andreu, 1975. "A model of equilibrium with differentiated commodities," Journal of Mathematical Economics, Elsevier, vol. 2(2), pages 263-295.
    12. Carlos Garriga & Aaron Hedlund, 2020. "Mortgage Debt, Consumption, and Illiquid Housing Markets in the Great Recession," American Economic Review, American Economic Association, vol. 110(6), pages 1603-1634, June.
    13. Hedlund, Aaron, 2016. "Illiquidity and its discontents: Trading delays and foreclosures in the housing market," Journal of Monetary Economics, Elsevier, vol. 83(C), pages 1-13.
    14. Shi, Shouyong, 2001. "Frictional Assignment. I. Efficiency," Journal of Economic Theory, Elsevier, vol. 98(2), pages 232-260, June.
    15. Arthur J. Hosios, 1990. "On The Efficiency of Matching and Related Models of Search and Unemployment," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 57(2), pages 279-298.
    16. Randall Wright & Philipp Kircher & Benoît Julien & Veronica Guerrieri, 2021. "Directed Search and Competitive Search Equilibrium: A Guided Tour," Journal of Economic Literature, American Economic Association, vol. 59(1), pages 90-148, March.
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    More about this item

    Keywords

    Sorting;

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D61 - Microeconomics - - Welfare Economics - - - Allocative Efficiency; Cost-Benefit Analysis
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness

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