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Inflation and Welfare in a Competitive Search Equilibrium with Asymmetric Information

Author

Listed:
  • Lorenzo Carbonari

    (Università di Roma “Tor Vergata”, Italy)

  • Fabrizio Mattesini

    (Università di Roma “Tor Vergata”, Italy; EIEF)

  • Robert J. Waldmann

    (Università di Roma “Tor Vergata”, Italy)

Abstract

We study an economy characterized by competitive search and asymmetric information. Money is essential. Buyers decide their cash holdings after observing the contracts posted by firms and experience match-specific preference shocks which remain unknown to sellers. Firms are allowed to post general contracts. In the baseline model with indivisible goods, we show that, when the number of potential buyers is fixed, inflation decreases markups. This, in turn, increases aggregate output and ex ante welfare. When goods are divisible the negative effect of inflation on markups holds for unconstrained agents but is ambiguous for constrained agents. Still, optimal monetary policy implies a positive nominal rate. When there is buyers' free entry, asymmetric information causes a congestion effect that can be corrected by monetary policy.

Suggested Citation

  • Lorenzo Carbonari & Fabrizio Mattesini & Robert J. Waldmann, 2022. "Inflation and Welfare in a Competitive Search Equilibrium with Asymmetric Information," Working Paper series 22-01, Rimini Centre for Economic Analysis.
  • Handle: RePEc:rim:rimwps:22-01
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    References listed on IDEAS

    as
    1. Levine, David K., 1991. "Asset trading mechanisms and expansionary policy," Journal of Economic Theory, Elsevier, vol. 54(1), pages 148-164, June.
    2. Guillaume Rocheteau & Randall Wright, 2005. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 73(1), pages 175-202, January.
    3. Guillaume Rocheteau & Peter Rupert & Randall Wright, 2007. "Inflation and Unemployment in General Equilibrium," Scandinavian Journal of Economics, Wiley Blackwell, vol. 109(4), pages 837-855, December.
    4. Jean, Kasie & Rabinovich, Stanislav & Wright, Randall, 2010. "On the multiplicity of monetary equilibria: Green-Zhou meets Lagos-Wright," Journal of Economic Theory, Elsevier, vol. 145(1), pages 392-401, January.
    5. Boel, Paola & Camera, Gabriele, 2006. "Efficient monetary allocations and the illiquidity of bonds," Journal of Monetary Economics, Elsevier, vol. 53(7), pages 1693-1715, October.
    6. Ricardo Lagos & Randall Wright, 2005. "A Unified Framework for Monetary Theory and Policy Analysis," Journal of Political Economy, University of Chicago Press, vol. 113(3), pages 463-484, June.
    7. Andolfatto, David, 2010. "Essential interest-bearing money," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1495-1507, July.
    8. Aruoba, S. Boragan & Chugh, Sanjay K., 2010. "Optimal fiscal and monetary policy when money is essential," Journal of Economic Theory, Elsevier, vol. 145(5), pages 1618-1647, September.
    9. Veronica Guerrieri & Robert Shimer & Randall Wright, 2010. "Adverse Selection in Competitive Search Equilibrium," Econometrica, Econometric Society, vol. 78(6), pages 1823-1862, November.
    10. Banerjee, Anindya & Russell, Bill, 2005. "Inflation and measures of the markup," Journal of Macroeconomics, Elsevier, vol. 27(2), pages 289-306, June.
    11. Athanasios Geromichalos & Kuk Mo Jung, 2019. "Monetary policy and efficiency in over-the-counter financial trade," Canadian Journal of Economics, Canadian Economics Association, vol. 52(4), pages 1699-1754, November.
    12. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680.
    13. Adrian Masters, 2013. "Inflation and Welfare in Retail Markets: Prior Production and Imperfectly Directed Search," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 45(5), pages 821-844, August.
    14. Faig Miquel & Jerez Belén, 2006. "Inflation, Prices, and Information in Competitive Search," The B.E. Journal of Macroeconomics, De Gruyter, vol. 6(1), pages 1-34, September.
    15. Bester, Helmut & Strausz, Roland, 2001. "Contracting with Imperfect Commitment and the Revelation Principle: The Single Agent Case," Econometrica, Econometric Society, vol. 69(4), pages 1077-1098, July.
    16. Dong, Mei & Jiang, Janet Hua, 2014. "Money and price posting under private information," Journal of Economic Theory, Elsevier, vol. 150(C), pages 740-777.
    17. Anindya Banerjee & Lynne Cockerell & Bill Russell, 2001. "An I(2) analysis of inflation and the markup," Journal of Applied Econometrics, John Wiley & Sons, Ltd., vol. 16(3), pages 221-240.
    18. Burdett, Kenneth & Judd, Kenneth L, 1983. "Equilibrium Price Dispersion," Econometrica, Econometric Society, vol. 51(4), pages 955-969, July.
    19. Lippi, Francesco & Ragni, Stefania & Trachter, Nicholas, 2015. "Optimal monetary policy with heterogeneous money holdings," Journal of Economic Theory, Elsevier, vol. 159(PA), pages 339-368.
    20. Han, Han & Julien, Benoît & Petursdottir, Asgerdur & Wang, Liang, 2016. "Equilibrium using credit or money with indivisible goods," Journal of Economic Theory, Elsevier, vol. 166(C), pages 152-163.
    21. Timothy J. Kehoe & David K. Levine & Michael Woodford, 1990. "The optimum quantity of money revisited," Working Papers 404, Federal Reserve Bank of Minneapolis.
    22. Craig, Ben & Rocheteau, Guillaume, 2008. "State-dependent pricing, inflation, and welfare in search economies," European Economic Review, Elsevier, vol. 52(3), pages 441-468, April.
    23. Veronica Guerrieri & Guido Lorenzoni, 2009. "Liquidity and Trading Dynamics," Econometrica, Econometric Society, vol. 77(6), pages 1751-1790, November.
    24. Berentsen, Aleksander & Menzio, Guido & Wright, Randall D., 2007. "Inflation and Unemployment: Lagos-Wright meets Mortensen-Pissarides," Kiel Working Papers 1334, Kiel Institute for the World Economy (IfW Kiel).
    25. Han Han & Benoit Julien & Asgerdur Petursdottir & Liang Wang, 2016. "Credit, Money and Asset Equilibria with Indivisible Goods," Working Papers 201601, University of Hawaii at Manoa, Department of Economics.
    26. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
    27. Eeckhout, Jan & Kircher, Philipp, 2010. "Sorting versus screening: Search frictions and competing mechanisms," Journal of Economic Theory, Elsevier, vol. 145(4), pages 1354-1385, July.
    28. Benjamin Lester & Andrew Postlewaite & Randall Wright, 2012. "Information, Liquidity, Asset Prices, and Monetary Policy," The Review of Economic Studies, Review of Economic Studies Ltd, vol. 79(3), pages 1209-1238.
    29. Mattesini, Fabrizio & Nosal, Ed, 2016. "Liquidity and asset prices in a monetary model with OTC asset markets," Journal of Economic Theory, Elsevier, vol. 164(C), pages 187-217.
    30. Schmitt-Grohé, Stephanie & Uribe, Martín, 2010. "The Optimal Rate of Inflation," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 13, pages 653-722, Elsevier.
    31. Jan De Loecker & Jan Eeckhout & Gabriel Unger, 2020. "The Rise of Market Power and the Macroeconomic Implications [“Econometric Tools for Analyzing Market Outcomes”]," The Quarterly Journal of Economics, President and Fellows of Harvard College, vol. 135(2), pages 561-644.
    32. Casella, Alessandra & Feinstein, Jonathan S, 1990. "Economic Exchange during Hyperinflation," Journal of Political Economy, University of Chicago Press, vol. 98(1), pages 1-27, February.
    33. Allen Head & Alok Kumar, 2005. "Price Dispersion, Inflation, And Welfare," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 533-572, May.
    34. Dong, Mei, 2011. "Inflation And Unemployment In Competitive Search Equilibrium," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 252-268, September.
    35. Roger B. Myerson, 1981. "Optimal Auction Design," Mathematics of Operations Research, INFORMS, vol. 6(1), pages 58-73, February.
    36. 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.
    37. Ping He & Lixin Huang & Randall Wright, 2005. "Money And Banking In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 46(2), pages 637-670, May.
    38. repec:mcb:jmoncb:v:45:y:2013:i::p:821-844 is not listed on IDEAS
    39. Rocheteau, Guillaume, 2011. "Payments and liquidity under adverse selection," Journal of Monetary Economics, Elsevier, vol. 58(3), pages 191-205.
    40. Nosal, Ed, 2011. "Search, Welfare, And The “Hot Potato” Effect Of Inflation," Macroeconomic Dynamics, Cambridge University Press, vol. 15(S2), pages 313-326, September.
    41. Scheinkman, Jose A & Weiss, Laurence, 1986. "Borrowing Constraints and Aggregate Economic Activity," Econometrica, Econometric Society, vol. 54(1), pages 23-45, January.
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