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Consumption Paths under Prospect Utility in an Optimal Growth Model

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  • Reto Foellmi
  • Rina Rosenblatt-Wisch
  • Klaus Reiner Schenk-Hoppé

Abstract

This paper studies the Cass-Koopmans-Ramsey model of optimal economic growth in the presence of loss aversion and habit formation. The representative agent's preferences for consumption can be gradually varied between the standard constant intertemporal elasticity of substitution (CIES) case and Kahneman and Tversky's prospect utility. We find that the transitional dynamics of optimal consumption paths differ distinctly from the standard model, in particular consumption smoothing is more pronounced. We also show that prospect utility can cause the economy to remain in a steady state with low consumption and low capital.

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Bibliographic Info

Paper provided by Universitaet Bern, Departement Volkswirtschaft in its series Diskussionsschriften with number dp1010.

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Date of creation: Aug 2010
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Handle: RePEc:ube:dpvwib:dp1010

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Keywords: Ramsey growth model; prospect theory; loss aversion; optimal consumption;

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  1. Amos Tversky & Daniel Kahneman, 1979. "Prospect Theory: An Analysis of Decision under Risk," Levine's Working Paper Archive 7656, David K. Levine.
  2. Boyer, Marcel, 1978. "A Habit Forming Optimal Growth Model," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 19(3), pages 585-609, October.
  3. Yaniv, Gideon, 1999. "Tax Compliance and Advance Tax Payments: A Prospect Theory Analysis," National Tax Journal, National Tax Association, vol. 52(n. 4), pages 753-64, December.
  4. Shi, Shouyong & Epstein, Larry G, 1993. "Habits and Time Preference," International Economic Review, Department of Economics, University of Pennsylvania and Osaka University Institute of Social and Economic Research Association, vol. 34(1), pages 61-84, February.
  5. Jeffrey C. Fuhrer, 2000. "Habit Formation in Consumption and Its Implications for Monetary-Policy Models," American Economic Review, American Economic Association, vol. 90(3), pages 367-390, June.
  6. Andrew E. Clark and Andrew J. Oswald, . "Satisfaction and Comparison Income," Economics Discussion Papers 419, University of Essex, Department of Economics.
  7. Das, Mausumi, 2003. "Optimal growth with decreasing marginal impatience," Journal of Economic Dynamics and Control, Elsevier, vol. 27(10), pages 1881-1898, August.
  8. Laibson, David, 1997. "Golden Eggs and Hyperbolic Discounting," The Quarterly Journal of Economics, MIT Press, vol. 112(2), pages 443-77, May.
  9. Rosenblatt-Wisch, Rina, 2008. "Loss aversion in aggregate macroeconomic time series," European Economic Review, Elsevier, vol. 52(7), pages 1140-1159, October.
  10. de la Croix, David & Michel, Philippe, 1997. "Optimal growth when tastes are inherited," Discussion Papers (IRES - Institut de Recherches Economiques et Sociales) 1997012, Université catholique de Louvain, Institut de Recherches Economiques et Sociales (IRES), revised 00 Jun 1997.
  11. Surico, Paolo, 2007. "The Fed's monetary policy rule and U.S. inflation: The case of asymmetric preferences," Journal of Economic Dynamics and Control, Elsevier, vol. 31(1), pages 305-324, January.
  12. Nicholas Barberis & Ming Huang & Tano Santos, 2001. "Prospect Theory And Asset Prices," The Quarterly Journal of Economics, MIT Press, vol. 116(1), pages 1-53, February.
  13. Easterlin, Richard A., 1995. "Will raising the incomes of all increase the happiness of all?," Journal of Economic Behavior & Organization, Elsevier, vol. 27(1), pages 35-47, June.
  14. Robert J. Barro, 1999. "Ramsey Meets Laibson In The Neoclassical Growth Model," The Quarterly Journal of Economics, MIT Press, vol. 114(4), pages 1125-1152, November.
  15. Tversky, Amos & Kahneman, Daniel, 1991. "Loss Aversion in Riskless Choice: A Reference-Dependent Model," The Quarterly Journal of Economics, MIT Press, vol. 106(4), pages 1039-61, November.
  16. Francisco Alvarez-Cuadrado & Goncalo Monteiro & Stephen J. Turnovsky, 2004. "Habit Formation, Catching Up with the Joneses, and Economic Growth," Journal of Economic Growth, Springer, vol. 9(1), pages 47-80, 03.
  17. Jody Overland & Christopher D. Carroll & David N. Weil, 2000. "Saving and Growth with Habit Formation," American Economic Review, American Economic Association, vol. 90(3), pages 341-355, June.
  18. Frank, Robert H, 1997. "The Frame of Reference as a Public Good," Economic Journal, Royal Economic Society, vol. 107(445), pages 1832-47, November.
  19. Easterlin, Richard A, 2001. "Income and Happiness: Towards an Unified Theory," Economic Journal, Royal Economic Society, vol. 111(473), pages 465-84, July.
  20. Benartzi, Shlomo & Thaler, Richard H, 1995. "Myopic Loss Aversion and the Equity Premium Puzzle," The Quarterly Journal of Economics, MIT Press, vol. 110(1), pages 73-92, February.
  21. Tversky, Amos & Kahneman, Daniel, 1992. " Advances in Prospect Theory: Cumulative Representation of Uncertainty," Journal of Risk and Uncertainty, Springer, vol. 5(4), pages 297-323, October.
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Cited by:
  1. Lena Dräger & Jan-Oliver Menz & Ulrich Fritsche, . "Perceived Inflation under Loss Aversion," Macroeconomics and Finance Series 201105, Hamburg University, Department Wirtschaft und Politik.
  2. Rosenblatt-Wisch, Rina, 2008. "Loss aversion in aggregate macroeconomic time series," European Economic Review, Elsevier, vol. 52(7), pages 1140-1159, October.

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