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General Equilibrium with Nonconvexities, Sunspots, and Money

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  • Rocheteau, Guillaume

    (Federal Reserve Bank of Cleveland)

  • Rupert, Peter

    (Federal Reserve Bank of Cleveland)

  • Shell, Karl

    (Cornell U)

  • Wright, Randall

    (U of Pennsylvania)

Abstract

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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Bibliographic Info

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. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  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, 01.
  3. 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.
  4. Ricardo Lagos & Randall Wright, 2002. "A unified framework for monetary theory and policy analysis," Working Paper 0211, Federal Reserve Bank of Cleveland.
  5. Cooley, T.F. & Hansen, G.D., 1988. "The Inflation Tax In A Real Business Cycle Model," Papers 88-05, Rochester, Business - General.
  6. 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.
  7. 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.
  8. S. Rao Aiyagari & Neil Wallace, 1991. "Existence of steady states with positive consumption in the Kiyotaki-Wright model," Working Papers 428, Federal Reserve Bank of Minneapolis.
  9. 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.
  10. Karl Shell & Randall Wright, 1991. "Indivisibilities, lotteries, and sunspot equilibria," Staff Report 133, Federal Reserve Bank of Minneapolis.
  11. Zhou, Ruilin, 1999. "Individual and Aggregate Real Balances in a Random-Matching Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 40(4), pages 1009-38, November.
  12. 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.
  13. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  14. Miquel Faig, 2004. "Divisible Money in an Economy with Villages," Levine's Bibliography 122247000000000159, UCLA Department of Economics.
  15. Irina A. Telyukova & Randall Wright, 2008. "A Model of Money and Credit, with Application to the Credit Card Debt Puzzle," Review of Economic Studies, Oxford University Press, vol. 75(2), pages 629-647.
  16. Rogerson, Richard & Wright, Randall, 1988. "Involuntary unemployment in economies with efficient risk sharing," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 501-515.
  17. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  18. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  19. 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.
  20. 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.
  21. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2007. "Money and capital," Working Paper 0714, Federal Reserve Bank of Cleveland.
  22. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  23. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
  24. 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.
  25. 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, 05.
  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.
  27. 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.
  28. 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.
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Cited by:
  1. Buiter, Willem H, 2006. "How Robust is the New Conventional Wisdom? The Surprising Fragility of the Theoretical Foundations of Inflation Targeting and Central Bank Independence," CEPR Discussion Papers 5772, C.E.P.R. Discussion Papers.
  2. Jonathan Chiu & Miguel Molico, 2008. "Uncertainty, Inflation, and Welfare," Working Papers 08-13, Bank of Canada.
  3. Rocheteau, Guillaume & Rupert, Peter & Wright, Randall, 2007. "Inflation and Unemployment in General Equilibrium," University of California at Santa Barbara, Economics Working Paper Series qt2fq1855f, Department of Economics, UC Santa Barbara.
  4. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2007. "Money and capital," Working Paper 0714, Federal Reserve Bank of Cleveland.

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