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General Equilibrium with Nonconvexities, Sunspots, and Money

  • Rocheteau, Guillaume

    (Federal Reserve Bank of Cleveland)

  • Rupert, Peter

    (Federal Reserve Bank of Cleveland)

  • Shell, Karl

    (Cornell U)

  • Wright, Randall

    (U of Pennsylvania)

We study general equilibrium with nonconvexities. In these economies there exist sunspot equilibria without the usual assumptions needed in convex economies, and they have good welfare properties. Moreover, in these equilibria, agents act as if they have quasi-linear utility. Hence wealth effects vanish. We use this to construct a new model of monetary exchange. As in Lagos-Wright, trade occurs in both centralized and decentralized markets, but while that model requires quasilinearity, we have general preferences. Given our specification looks much like the textbook Arrow-Debreu model, we think this constitutes progress on the classic problem of integrating money and general equilibrium theory. We also use the model to discuss another classic issue: the relation between inflation and unemployment.

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Paper provided by Cornell University, Center for Analytic Economics in its series Working Papers with number 05-16.

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Date of creation: Nov 2005
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Handle: RePEc:ecl:corcae:05-16
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  1. Garratt, Rod & Keister, Todd & Qin, Cheng-Zhong & Shell, Karl, 2002. "Equilibrium Prices When the Sunspot Variable Is Continuous," Journal of Economic Theory, Elsevier, vol. 107(1), pages 11-38, November.
  2. 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.
  3. Wallace, Neil, 2001. "Whither Monetary Economics?," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 42(4), pages 847-69, November.
  4. 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.
  5. Guillaume Rocheteau & Randall Wright, 2004. "Money in search equilibrium, in competitive equilibrium, and in competitive search equilibrium," Working Paper 0405, Federal Reserve Bank of Cleveland.
  6. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2007. "Money and capital," Working Paper 0714, Federal Reserve Bank of Cleveland.
  7. Miquel Faig, 2004. "Divisible Money in an Economy with Villages," Levine's Bibliography 122247000000000159, UCLA Department of Economics.
  8. Green, Edward J. & Zhou, Ruilin, 1998. "A Rudimentary Random-Matching Model with Divisible Money and Prices," Journal of Economic Theory, Elsevier, vol. 81(2), pages 252-271, August.
  9. Ruilin Zhou, 1996. "Individual and aggregate real balances in a random matching model," Staff Report 222, Federal Reserve Bank of Minneapolis.
  10. Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Working Paper Series, Macroeconomic Issues 90, Federal Reserve Bank of Chicago.
  11. Thomas F. Cooley & Gary D. Hansen, 1987. "The Inflation Tax in a Real Business Cycle Model," UCLA Economics Working Papers 496, UCLA Department of Economics.
  12. Karl Shell & Randall Wright, 1991. "Indivisibilities, lotteries, and sunspot equilibria," Staff Report 133, Federal Reserve Bank of Minneapolis.
  13. Garratt, Rod & Keister, Todd & Shell, Karl, 2002. "Comparing Sunspot Equilibrium and Lottery Equilibrium Allocations: The Finite Case," Working Papers 02-07, Cornell University, Center for Analytic Economics.
  14. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  15. Camera, Gabriele & Corbae, Dean, 1999. "Money and Price Dispersion," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 985-1008, November.
  16. 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.
  17. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  18. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  19. S. Rao Aiyagari & Neil Wallace, 1991. "Existence of Steady States with Positive Consumption in the Kiyotaki-Wright Model," Review of Economic Studies, Oxford University Press, vol. 58(5), pages 901-916.
  20. Shouyong Shi, 1997. "A Divisible Search Model of Fiat Money," Econometrica, Econometric Society, vol. 65(1), pages 75-102, January.
  21. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  22. 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.
  23. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
  24. 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.
  25. Rogerson, Richard & Wright, Randall, 1988. "Involuntary unemployment in economies with efficient risk sharing," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 501-515.
  26. Kiyotaki, Nobuhiro & Wright, Randall, 1993. "A Search-Theoretic Approach to Monetary Economics," American Economic Review, American Economic Association, vol. 83(1), pages 63-77, March.
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