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A Monetary Theory with Non-Degenerate Distributions

  • Guido Menzio
  • Shouyong Shi
  • Hongfei Sun

Dispersion of money balances among individuals is the basis for a range of policies but it has been abstracted from in monetary theory for tractability reasons. In this paper, we fill in this gap by constructing a tractable search model of money with a non-degenerate distribution of money holdings. We assume search to be directed in the sense that buyers know the terms of trade before visiting particular sellers. Directed search makes the monetary steady state block recursive in the sense that individuals' policy functions, value functions and the market tightness function are all independent of the distribution of individuals over money balances, although the distribution affects the aggregate activity by itself. Block recursivity enables us to characterize the equilibrium analytically. By adapting lattice-theoretic techniques, we characterize individuals' policy and value functions, and show that these functions satisfy the standard conditions of optimization. We prove that a unique monetary steady state exists. Moreover, we provide conditions under which the steady-state distribution of buyers over money balances is non-degenerate and analyze the properties of this distribution.

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Paper provided by University of Toronto, Department of Economics in its series Working Papers with number tecipa-425.

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Length: 57 pages
Date of creation: 24 Mar 2011
Date of revision:
Handle: RePEc:tor:tecipa:tecipa-425
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  1. Shouyong Shi, 2006. "Directed Search for Equilibrium Wage-Tenure Contracts," Working Papers tecipa-260, University of Toronto, Department of Economics.
  2. Julien, B. & Kennes, J. & King, I., 1998. "Bidding for Labour," Discussion Papers dp98-03, Department of Economics, Simon Fraser University.
  3. Aleksander Berentsen & Gabriele Camera & Christopher Waller, . "The Distribution of Money and Prices in an Equilibrium with Lotteries," IEW - Working Papers 174, Institute for Empirical Research in Economics - University of Zurich.
  4. Edward J. Green & Ruilin Zhou, . "A Rudimentary Model of Search with Divisible Money and Prices," Penn CARESS Working Papers 2772f94306e08ef7292945588, Penn Economics Department.
  5. Guido Menzio & Shouyong Shi, 2009. "Efficient Search on the Job and the Business Cycle," NBER Working Papers 14905, National Bureau of Economic Research, Inc.
  6. 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, 01.
  7. Ruilin Zhou, 1996. "Individual and aggregate real balances in a random matching model," Staff Report 222, Federal Reserve Bank of Minneapolis.
  8. Benveniste, L M & Scheinkman, J A, 1979. "On the Differentiability of the Value Function in Dynamic Models of Economics," Econometrica, Econometric Society, vol. 47(3), pages 727-32, May.
  9. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  10. Peters, Michael, 1984. "Bertrand Equilibrium with Capacity Constraints and Restricted Mobility," Econometrica, Econometric Society, vol. 52(5), pages 1117-27, September.
  11. Acemoglu, D. & Shimer, R., 1997. "Efficient Unemployment Insurance," Working papers 97-9, Massachusetts Institute of Technology (MIT), Department of Economics.
  12. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  13. Kenneth Burdett & Shouyong Shi & Randall Wright, 2001. "Pricing and Matching with Frictions," Journal of Political Economy, University of Chicago Press, vol. 109(5), pages 1060-1085, October.
  14. Guido Menzio & Shouyong Shi, 2009. "Block Recursive Equilibria for Stochastic Models of Search on the Job," PIER Working Paper Archive 09-005, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania.
  15. Aleksander Berentsen & Gabriele Camera & Christopher Waller, . "The Distribution of Money Balances and the Non-Neutrality of Money," IEW - Working Papers 220, Institute for Empirical Research in Economics - University of Zurich.
  16. Alain Delacroix & Shouyong Shi, 2003. "Directed Search On the Job and the Wage Ladder," Working Papers shouyong-03-04, University of Toronto, Department of Economics.
  17. Per Krusell & Anthony A. Smith, Jr., . "Income and Wealth Heterogeneity in the Macroeconomy," GSIA Working Papers 1997-37, Carnegie Mellon University, Tepper School of Business.
  18. Jovanovic, Boyan, 1982. "Inflation and Welfare in the Steady State," Journal of Political Economy, University of Chicago Press, vol. 90(3), pages 561-77, June.
  19. Galenianos, Manolis & Kircher, Philipp, 2008. "A model of money with multilateral matching," Journal of Monetary Economics, Elsevier, vol. 55(6), pages 1054-1066, September.
  20. Aaron S. Edlin and Chris Shannon., 1995. "Strict Monotonicity in Comparative Statics," Economics Working Papers 95-238, University of California at Berkeley.
  21. Ricardo Lagos & Guillaume Rocheteau, 2005. "Inflation, Output, 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 495-522, 05.
  22. Jonathan Chiu & Miguel Molico, 2011. "Uncertainty, Inflation, and Welfare," Journal of Money, Credit and Banking, Blackwell Publishing, vol. 43, pages 487-512, October.
  23. Guido Menzio & Shouyong Shi, 2008. "Efficient Search on the Job and the Business Cycle, Second Version," PIER Working Paper Archive 09-010, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 28 Feb 2009.
  24. Lawrence J. Christiano & Martin Eichenbaum & Charles L. Evans, 1997. "Monetary policy shocks: what have we learned and to what end?," Working Paper Series, Macroeconomic Issues WP-97-18, Federal Reserve Bank of Chicago.
  25. Shapley, Lloyd S & Shubik, Martin, 1977. "Trade Using One Commodity as a Means of Payment," Journal of Political Economy, University of Chicago Press, vol. 85(5), pages 937-68, October.
  26. Zhu, Tao, 2003. "Existence of a monetary steady state in a matching model: indivisible money," Journal of Economic Theory, Elsevier, vol. 112(2), pages 307-324, October.
  27. Ricardo Lagos & Randall Wright, 2002. "A unified framework for monetary theory and policy analysis," Working Paper 0211, Federal Reserve Bank of Cleveland.
  28. Paul Milgrom & Ilya Segal, 2002. "Envelope Theorems for Arbitrary Choice Sets," Econometrica, Econometric Society, vol. 70(2), pages 583-601, March.
  29. Francisco M. Gonzalez & Shouyong Shi, 2010. "An Equilibrium Theory of Learning, Search, and Wages," Econometrica, Econometric Society, vol. 78(2), pages 509-537, 03.
  30. Kiyotaki, Nobuhiro & Wright, Randall, 1989. "On Money as a Medium of Exchange," Journal of Political Economy, University of Chicago Press, vol. 97(4), pages 927-54, August.
  31. Andrew Clausen & Carlo Strub, 2012. "Envelope theorems for non-smooth and non-concave optimization," ECON - Working Papers 062, Department of Economics - University of Zurich.
  32. Julien, BenoI^t & Kennes, John & King, Ian, 2008. "Bidding for money," Journal of Economic Theory, Elsevier, vol. 142(1), pages 196-217, September.
  33. Moen, E.R., 1995. "Competitive Search Equilibrium," Memorandum 37/1995, Oslo University, Department of Economics.
  34. Dean Corbae & Ted Temzelides & Randall Wright, 2003. "Directed Matching and Monetary Exchange," Econometrica, Econometric Society, vol. 71(3), pages 731-756, 05.
  35. Julio J. Rotemberg, 1982. "A Monetary Equilibrium Model with Transactions Costs," NBER Working Papers 0978, National Bureau of Economic Research, Inc.
  36. Trejos, Alberto & Wright, Randall, 1995. "Search, Bargaining, Money, and Prices," Journal of Political Economy, University of Chicago Press, vol. 103(1), pages 118-41, February.
  37. Faig, Miquel, 2008. "Endogenous buyer-seller choice and divisible money in search equilibrium," Journal of Economic Theory, Elsevier, vol. 141(1), pages 184-199, July.
  38. Miguel Molico, 2006. "The Distribution Of Money And Prices In Search Equilibrium," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 47(3), pages 701-722, 08.
  39. Peters, Michael, 1991. "Ex Ante Price Offers in Matching Games Non-steady States," Econometrica, Econometric Society, vol. 59(5), pages 1425-54, September.
  40. Lucas, Robert Jr., 1990. "Liquidity and interest rates," Journal of Economic Theory, Elsevier, vol. 50(2), pages 237-264, April.
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