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Uniqueness of Positive Fixed Points for Increasing Concave Functions on Rn: An Elementary Result

  • John Kennan

    (University of Wisconsin, Madison)

The square root function has a unique positive fixed point. This function has the following properties: it is strictly increasing and strictly concave, with f(0)=0, and there are points a>0 and b>0 such that f(b)>a and b>f(b). It is shown that any function from Rn to Rn satisfying these properties has a unique positive fixed point. (Copyright: Elsevier)

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File URL: http://dx.doi.org/10.1006/redy.2001.0139
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Article provided by Elsevier for the Society for Economic Dynamics in its journal Review of Economic Dynamics.

Volume (Year): 4 (2001)
Issue (Month): 4 (October)
Pages: 893-899

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Handle: RePEc:red:issued:v:4:y:2001:i:4:p:893-899
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  1. Gary Hansen, 2010. "Indivisible Labor and the Business Cycle," Levine's Working Paper Archive 233, David K. Levine.
  2. Rogerson, Richard, 1988. "Indivisible labor, lotteries and equilibrium," Journal of Monetary Economics, Elsevier, vol. 21(1), pages 3-16, January.
  3. Gali, Jordi, 1996. "Unemployment in dynamic general equilibrium economies," European Economic Review, Elsevier, vol. 40(3-5), pages 839-845, April.
  4. Coleman, Wilbur John, II, 1991. "Equilibrium in a Production Economy with an Income Tax," Econometrica, Econometric Society, vol. 59(4), pages 1091-1104, July.
  5. Mulligan Casey B, 2001. "Aggregate Implications of Indivisible Labor," The B.E. Journal of Macroeconomics, De Gruyter, vol. 1(1), pages 1-35, April.
  6. Wouter J. den Haan & Garey Ramey & Joel Watson, 1997. "Job Destruction and Propagation of Shocks," NBER Working Papers 6275, National Bureau of Economic Research, Inc.
  7. Blanchard, Olivier Jean & Kahn, Charles M, 1980. "The Solution of Linear Difference Models under Rational Expectations," Econometrica, Econometric Society, vol. 48(5), pages 1305-11, July.
  8. Westermark, A., 1999. "A Model of Union Formation," Papers 1999:8, Uppsala - Working Paper Series.
  9. Pissarides, Christopher A., 1998. "The impact of employment tax cuts on unemployment and wages; The role of unemployment benefits and tax structure," European Economic Review, Elsevier, vol. 42(1), pages 155-183, January.
  10. Manning, Alan, 1987. "An Integration of Trade Union Models in a Sequential Bargaining Framework," Economic Journal, Royal Economic Society, vol. 97(385), pages 121-39, March.
  11. Whitney K. Newey & Kenneth D. West, 1986. "A Simple, Positive Semi-Definite, Heteroskedasticity and AutocorrelationConsistent Covariance Matrix," NBER Technical Working Papers 0055, National Bureau of Economic Research, Inc.
  12. Joao Gomes & Jeremy Greenwood & Sergio Rebelo, 1997. "Equilibrium Unemployment," NBER Working Papers 5922, National Bureau of Economic Research, Inc.
  13. Keane, Michael P & Runkle, David E, 1990. "Testing the Rationality of Price Forecasts: New Evidence from Panel Data," American Economic Review, American Economic Association, vol. 80(4), pages 714-35, September.
  14. Pencavel, John, 1985. " Wages and Employment under Trade Unionism: Microeconomic Models and Macroeconomic Applications," Scandinavian Journal of Economics, Wiley Blackwell, vol. 87(2), pages 197-225.
  15. Anderson, Simon P & Devereux, Michael, 1988. " Trade Unions and the Choice of Capital Stock," Scandinavian Journal of Economics, Wiley Blackwell, vol. 90(1), pages 27-44.
  16. Harvey, David & Leybourne, Stephen & Newbold, Paul, 1997. "Testing the equality of prediction mean squared errors," International Journal of Forecasting, Elsevier, vol. 13(2), pages 281-291, June.
  17. Merz, Monika, 1995. "Search in the labor market and the real business cycle," Journal of Monetary Economics, Elsevier, vol. 36(2), pages 269-300, November.
  18. Rogerson, Richard & Wright, Randall, 1988. "Involuntary unemployment in economies with efficient risk sharing," Journal of Monetary Economics, Elsevier, vol. 22(3), pages 501-515.
  19. Horn, Henrik & Wolinsky, Asher, 1988. "Worker Substitutability and Patterns of Unionisation," Economic Journal, Royal Economic Society, vol. 98(391), pages 484-97, June.
  20. Robert G. King & Sergio T. Rebelo, 2000. "Resuscitating Real Business Cycles," RCER Working Papers 467, University of Rochester - Center for Economic Research (RCER).
  21. Jordi Gali, 1995. "Non-Walrasian Unemployment Fluctuations," NBER Working Papers 5337, National Bureau of Economic Research, Inc.
  22. Andolfatto, David, 1996. "Business Cycles and Labor-Market Search," American Economic Review, American Economic Association, vol. 86(1), pages 112-32, March.
  23. Francesco Daveri & Marco Maffezzoli, 2000. "A numerical approach to fiscal policy, unemployment, and growth in Europe," Macroeconomics 0004010, EconWPA.
  24. Diebold, Francis X & Mariano, Roberto S, 1995. "Comparing Predictive Accuracy," Journal of Business & Economic Statistics, American Statistical Association, vol. 13(3), pages 253-63, July.
  25. Horn, Henrik & Svensson, Lars E O, 1986. "Trade Unions and Optimal Labour Contracts," Economic Journal, Royal Economic Society, vol. 96(382), pages 323-41, June.
  26. Jess Benhabib & Richard Rogerson & Randall Wright, 1991. "Homework in macroeconomics: household production and aggregate fluctuations," Staff Report 135, Federal Reserve Bank of Minneapolis.
  27. King, Robert G. & Plosser, Charles I. & Rebelo, Sergio T., 1988. "Production, growth and business cycles : I. The basic neoclassical model," Journal of Monetary Economics, Elsevier, vol. 21(2-3), pages 195-232.
  28. Hall, Robert E., 1999. "Labor-market frictions and employment fluctuations," Handbook of Macroeconomics, in: J. B. Taylor & M. Woodford (ed.), Handbook of Macroeconomics, edition 1, volume 1, chapter 17, pages 1137-1170 Elsevier.
  29. Oswald, Andrew J, 1982. "The Microeconomic Theory of the Trade Union," Economic Journal, Royal Economic Society, vol. 92(367), pages 576-95, September.
  30. Danthine, J.P. & Donaldson, J.B., 1993. "Non-Walrassian Economies," Papers 93-02, Columbia - Graduate School of Business.
  31. Long, John B, Jr & Plosser, Charles I, 1983. "Real Business Cycles," Journal of Political Economy, University of Chicago Press, vol. 91(1), pages 39-69, February.
  32. Kydland, Finn E & Prescott, Edward C, 1982. "Time to Build and Aggregate Fluctuations," Econometrica, Econometric Society, vol. 50(6), pages 1345-70, November.
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