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General equilibrium with nonconvexities and money

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

Abstract

In a general-equilibrium economy with nonconvexities, there are sunspot equilibria with good welfare properties; sunspots can ameliorate the effects of the nonconvexities. For these economies, we show that agents act as if they have quasi-linear utility functions. We use this result to construct a new model of monetary exchange along the lines of Lagos and Wright, where trade occurs in both centralized and decentralized markets, but instead of quasi-linear preferences we assume general preferences but with indivisible labor. This suggests that modern monetary theory is more robust than one might have thought. It also constitutes progress on the classic problem of integrating monetary economics and general-equilibrium theory.

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Bibliographic Info

Article provided by Elsevier in its journal Journal of Economic Theory.

Volume (Year): 142 (2008)
Issue (Month): 1 (September)
Pages: 294-317

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Handle: RePEc:eee:jetheo:v:142:y:2008:i:1:p:294-317

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Web page: http://www.elsevier.com/locate/inca/622869

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References

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  1. Randall Wright & Guillame Rocheteau, 2003. "Money in Search Equilibrium, in Competitive Equilibrium, and in Competitive Search Equilibrium," Levine's Bibliography 666156000000000302, UCLA Department of Economics.
  2. 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.
  3. Ruilin Zhou, 1996. "Individual and Aggregate Real Balances in a Random Matching Model," GE, Growth, Math methods 9612001, EconWPA, revised 23 Dec 1996.
  4. Mas-Colell, Andreu & Whinston, Michael D. & Green, Jerry R., 1995. "Microeconomic Theory," OUP Catalogue, Oxford University Press, number 9780195102680, October.
  5. S. Boragan Aruoba & Randall Wright, 2003. "Search, money, and capital: a neoclassical dichotomy," Proceedings, Federal Reserve Bank of Cleveland, pages 1085-1117.
  6. Shouyong Shi, 1995. "Money and Prices: A Model of Search and Bargaining," Working Papers 916, Queen's University, Department of Economics.
  7. 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.
  8. Lawrence J. Christiano & Martin Eichenbaum, 1990. "Current real business cycle theories and aggregate labor market fluctuations," Discussion Paper / Institute for Empirical Macroeconomics 24, Federal Reserve Bank of Minneapolis.
  9. Rogerson, Richard & Wright, Randall, 1988. "Involuntary unemployment in economies with efficient risk sharing," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 501-515.
  10. Zhu, Tao, 2005. "Existence of a monetary steady state in a matching model: divisible money," Journal of Economic Theory, Elsevier, vol. 123(2), pages 135-160, August.
  11. Rod Garratt & Todd Keister & Karl Shell, 2004. "Comparing Sunspot Equilibrium And Lottery Equilibrium Allocations: The Finite Case," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 45(2), pages 351-386, 05.
  12. S. Boragan Aruoba & Randall Wright, 2002. "Search, Money and Capital: A Neoclassical Dichotomy, Second Version," PIER Working Paper Archive 03-028, Penn Institute for Economic Research, Department of Economics, University of Pennsylvania, revised 03 Sep 2003.
  13. 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.
  14. Cooley, Thomas F & Hansen, Gary D, 1989. "The Inflation Tax in a Real Business Cycle Model," American Economic Review, American Economic Association, vol. 79(4), pages 733-48, September.
  15. Karl Shell & Randall Wright, 2010. "Indivisibilities, Lotteries and Sunspot Equilibria," Levine's Working Paper Archive 2061, David K. Levine.
  16. Ricardo Lagos & Randall Wright, 2004. "A unified framework for monetary theory and policy analysis," Staff Report 346, Federal Reserve Bank of Minneapolis.
  17. 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.
  18. Shouyong Shi, 1996. "A Divisible Search Model of Fiat Money," Working Papers 930, Queen's University, Department of Economics.
  19. 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.
  20. Kehoe, Timothy J. & Levine, David K. & Prescott, Edward C., 2002. "Lotteries, Sunspots, and Incentive Constraints," Journal of Economic Theory, Elsevier, vol. 107(1), pages 39-69, November.
  21. Joseph M. Ostroy, 1972. "The Informational Efficiency of Monetary Exchange," UCLA Economics Working Papers 021, UCLA Department of Economics.
  22. Richard Rogerson, 2010. "Indivisible Labor, Lotteries and Equilibrium," Levine's Working Paper Archive 250, David K. Levine.
  23. 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.
  24. Prescott, Edward C. & Shell, Karl, 2002. "Introduction to Sunspots and Lotteries," Journal of Economic Theory, Elsevier, vol. 107(1), pages 1-10, November.
  25. Hansen, Gary D., 1985. "Indivisible labor and the business cycle," Journal of Monetary Economics, Elsevier, vol. 16(3), pages 309-327, November.
  26. Narayana R. Kocherlakota, 1996. "Money is memory," Staff Report 218, Federal Reserve Bank of Minneapolis.
  27. 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.
  28. 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.
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Citations

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Cited by:
  1. Stephen Williamson & Randall Wright, 2010. "New monetarist economics: methods," Review, Federal Reserve Bank of St. Louis, issue May, pages 265-302.
  2. S. Boragan Aruoba & Frank Schorfheide, 2009. "Sticky Prices Versus Monetary Frictions: An Estimation of Policy Trade-offs," NBER Working Papers 14870, National Bureau of Economic Research, Inc.
  3. Yu Zhu & Randall Wright & Chao He, 2012. "Housing and Liquidity," 2012 Meeting Papers 94, Society for Economic Dynamics.
  4. Williamson, Stephen D. & Wright, Randall, 2010. "New Monetarist Economics: Models," MPRA Paper 21030, University Library of Munich, Germany.
  5. Kocherlakota, Narayana & Wright, Randall, 2008. "Introduction to monetary and macro economics," Journal of Economic Theory, Elsevier, vol. 142(1), pages 1-4, September.
  6. Venky Venkateswaran & Randall Wright, 2013. "Pledgability and Liquidity: A New Monetarist Model of Financial and Macroeconomic Activity," NBER Working Papers 19009, National Bureau of Economic Research, Inc.
  7. S. Boragan Aruoba & Christopher J. Waller, 2005. "Money and Capital," 2005 Meeting Papers 550, Society for Economic Dynamics.
  8. Mei Dong, 2010. "Inflation and Unemployment in Competitive Search Equilibrium," Working Papers 10-15, Bank of Canada.
  9. S. Boragan Aruoba & Christopher J. Waller & Randall Wright, 2009. "Money and capital: a quantitative analysis," Working Papers 2009-031, Federal Reserve Bank of St. Louis.

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