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General equilibrium with nonconvexities, sunspots, and money

  • Guillaume Rocheteau
  • Peter Rupert
  • Karl Shell
  • Randall Wright

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 Federal Reserve Bank of Cleveland in its series Working Paper with number 0513.

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Date of creation: 2005
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Handle: RePEc:fip:fedcwp:0513
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  1. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  2. 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.
  3. Miquel Faig, 2006. "Divisible Money In An Economy With Villages," Working Papers tecipa-216, University of Toronto, Department of Economics.
  4. 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.
  5. 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.
  6. 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.
  7. Christiano, Lawrence J & Eichenbaum, Martin, 1992. "Current Real-Business-Cycle Theories and Aggregate Labor-Market Fluctuations," American Economic Review, American Economic Association, vol. 82(3), pages 430-50, June.
  8. Shi Shougong, 1995. "Money and Prices: A Model of Search and Bargaining," Journal of Economic Theory, Elsevier, vol. 67(2), pages 467-496, December.
  9. Kocherlakota, Narayana R., 1998. "Money Is Memory," Journal of Economic Theory, Elsevier, vol. 81(2), pages 232-251, August.
  10. 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.
  11. Ricardo Lagos & Randall Wright, 2002. "A unified framework for monetary theory and policy analysis," Working Paper 0211, Federal Reserve Bank of Cleveland.
  12. 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.
  13. Camera, G. & Corbae, D., 1998. "Money and Price Dispersion," Working Papers 98-03, University of Iowa, Department of Economics.
  14. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2007. "Money and capital," Working Paper 0714, Federal Reserve Bank of Cleveland.
  15. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  16. 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.
  17. Edward J. Green & Ruilin Zhou, 1996. "A Rudimentary Random-Matching Model with Divisible Money and Prices," GE, Growth, Math methods 9606001, EconWPA, revised 25 Jul 1996.
  18. 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.
  19. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
  20. 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.
  21. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  22. Karl Shell & Randall Wright, 1991. "Indivisibilities, lotteries, and sunspot equilibria," Staff Report 133, Federal Reserve Bank of Minneapolis.
  23. Rogerson, Richard & Wright, Randall, 1988. "Involuntary unemployment in economies with efficient risk sharing," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 501-515.
  24. 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.
  25. 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.
  26. 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.
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