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Money and price posting under private information

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  • Dong, Mei
  • Jiang, Janet Hua

Abstract

We study price posting with undirected search in a search-theoretic monetary model with divisible money and divisible goods. Ex ante homogeneous buyers experience match-specific preference shocks in bilateral trades. The shocks follow a continuous uniform distribution, and the realizations of the shocks are private information. We show that there exists a unique monetary equilibrium for generic values of the inflation rate. In equilibrium, each seller posts a continuous pricing schedule that exhibits quantity discounts. Buyers may spend nothing, a fraction or all of their money holdings, depending on their preference-shock realizations. Inflation reduces the extent of non-linear pricing. The model captures the hot-potato effect of inflation along both the extensive margin, as an increase in the trading probability, and the intensive margin, as higher fractions of money being spent.

Suggested Citation

  • Dong, Mei & Jiang, Janet Hua, 2014. "Money and price posting under private information," Journal of Economic Theory, Elsevier, vol. 150(C), pages 740-777.
    • Handle: RePEc:eee:jetheo:v:150:y:2014:i:c:p:740-777
    DOI: 10.1016/j.jet.2013.12.005
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    Cited by:

    1. Shao, Enchuan, 2014. "The threat of counterfeiting in competitive search equilibrium," Journal of Economic Dynamics and Control, Elsevier, vol. 47(C), pages 168-185.
    2. Allen Head & Lucy Qian Liu & Guido Menzio & Randall Wright, 2012. "Sticky Prices: A New Monetarist Approach," Journal of the European Economic Association, European Economic Association, vol. 10(5), pages 939-973, October.
    3. Stephen D. Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, vol. 92(May), pages 265-302.
    4. Lorenzo Carbonari & Fabrizio Mattesini & Robert J. Waldmann, 2023. "Inflation and Welfare in a Competitive Search Equilibrium with Asymmetric Information," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 55(4), pages 717-746, June.
    5. Williamson, Stephen & Wright, Randall, 2010. "New Monetarist Economics: Models," Handbook of Monetary Economics, in: Benjamin M. Friedman & Michael Woodford (ed.), Handbook of Monetary Economics, edition 1, volume 3, chapter 2, pages 25-96, Elsevier.
    6. Janet Hua Jiang & Enchuan Shao, 2020. "The Cash Paradox," Review of Economic Dynamics, Elsevier for the Society for Economic Dynamics, vol. 36, pages 177-197, April.
    7. Randall Wright & Philipp Kircher & Benoit Julîen & Veronica Guerrieri, 2017. "Directed Search: A Guided Tour," NBER Working Papers 23884, National Bureau of Economic Research, Inc.
    8. Lucy Qian Liu & Liang Wang & Randall Wright, 2009. "“On the ‘Hot Potato Effect’ of Inflation: Intensive versus Extensive Marginsâ€," PIER Working Paper Archive 09-040, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
    9. Stella Xiuhua Huangfu, 2018. "The Effects of Inflation on Market Participation and Search Intensity," The Economic Record, The Economic Society of Australia, vol. 94(304), pages 25-38, March.

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    More about this item

    Keywords

    Money; Price; Undirected search; Private information;
    All these keywords.

    JEL classification:

    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design
    • D83 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Search; Learning; Information and Knowledge; Communication; Belief; Unawareness
    • E31 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Price Level; Inflation; Deflation

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