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Habit formation and indeterminacy in overlapping generations models

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  • Fabrizio Orrego

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Abstract

I introduce habit formation into an otherwise standard overlapping generations economy with pure exchange populated by three-period-lived agents. Habits are modeled in such a way that current consumption increases the marginal utility of future consumption. With logarithmic utility functions, I demonstrate that habit formation gives rise to stable monetary steady states in economies with hump-shaped endowment profiles and reasonably high discount factors. Intuitively, habits imply adjacent complementarity in consumption, which in turn explains why income effects are sufficiently strong in spite of the logarithmic utility. The three-period horizon further strengthens the income effect. Copyright Springer-Verlag Berlin Heidelberg 2014

Suggested Citation

  • Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
  • Handle: RePEc:spr:joecth:v:55:y:2014:i:1:p:225-241
    DOI: 10.1007/s00199-013-0746-2
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    1. Julio Dávila & Piero Gottardi & Atsushi Kajii, 2007. "Local Sunspot Equilibria Reconsidered," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 31(3), pages 401-425, June.
    2. Fuente,Angel de la, 2000. "Mathematical Methods and Models for Economists," Cambridge Books, Cambridge University Press, number 9780521585293.
    3. Kehoe, Timothy J & Levine, David K & Romer, Paul M, 1992. "On Characterizing Equilibria of Economies with Externalities and Taxes as Solutions to Optimization Problems," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 2(1), pages 43-68, January.
    4. Bossi, Luca & Gomis-Porqueras, Pere, 2009. "Consequences Of Modeling Habit Persistence," Macroeconomic Dynamics, Cambridge University Press, vol. 13(3), pages 349-365, June.
    5. William Barnett & Evgeniya Duzhak, 2010. "Empirical assessment of bifurcation regions within New Keynesian models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 45(1), pages 99-128, October.
    6. Kehoe, Timothy J. & Levine, David K., 1990. "The economics of indeterminacy in overlapping generations models," Journal of Public Economics, Elsevier, vol. 42(2), pages 219-243, July.
    7. Gale, David, 1973. "Pure exchange equilibrium of dynamic economic models," Journal of Economic Theory, Elsevier, vol. 6(1), pages 12-36, February.
    8. George M. Constantinides & John B. Donaldson & Rajnish Mehra, 2002. "Junior Can't Borrow: A New Perspective on the Equity Premium Puzzle," The Quarterly Journal of Economics, Oxford University Press, vol. 117(1), pages 269-296.
    9. Lahiri, Amartya & Puhakka, Mikko, 1998. "Habit Persistence in Overlapping Generations Economies under Pure Exchange," Journal of Economic Theory, Elsevier, vol. 78(1), pages 176-186, January.
    10. Balasko, Yves & Shell, Karl, 1981. "The overlapping-generations model. III. The case of log-linear utility functions," Journal of Economic Theory, Elsevier, vol. 24(1), pages 143-152, February.
    11. Kareen Rozen, 2010. "Foundations of Intrinsic Habit Formation," Econometrica, Econometric Society, vol. 78(4), pages 1341-1373, July.
    12. Fabrizio Orrego, 2014. "Habit formation and indeterminacy in overlapping generations models," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 55(1), pages 225-241, January.
    13. Author-Name: John Geanakoplos & Michael Magill & Martine Quinzii, 2004. "Demography and the Long-Run Predictability of the Stock Market," Brookings Papers on Economic Activity, Economic Studies Program, The Brookings Institution, vol. 35(1), pages 241-326.
    14. Bhattacharya, Joydeep & Russell, Steven, 2003. "Two-period cycles in a three-period overlapping generations model," Journal of Economic Theory, Elsevier, vol. 109(2), pages 378-401, April.
    15. Philippe Michel & Alain Venditti, 1997. "Optimal growth and cycles in overlapping generations models (*)," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 9(3), pages 511-528.
    16. Azariadis, Costas & Bullard, James & Ohanian, Lee, 2004. "Trend-reverting fluctuations in the life-cycle model," Journal of Economic Theory, Elsevier, vol. 119(2), pages 334-356, December.
    17. Costas Azariadis & Roger Guesnerie, 1986. "Sunspots and Cycles," Review of Economic Studies, Oxford University Press, vol. 53(5), pages 725-737.
    18. Spear, Stephen E. & Srivastava, Sanjay & Woodford, Michael, 1990. "Indeterminacy of stationary equilibrium in stochastic overlapping generations models," Journal of Economic Theory, Elsevier, vol. 50(2), pages 265-284, April.
    19. Henriksen, Espen & Spear, Stephen, 2012. "Endogenous market incompleteness without market frictions: Dynamic suboptimality of competitive equilibrium in multiperiod overlapping generations economies," Journal of Economic Theory, Elsevier, vol. 147(2), pages 426-449.
    20. S. Demichelis & H. Polemarchakis, 2007. "The determinacy of equilibrium in economies of overlapping generations," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 32(3), pages 461-475, September.
    21. Cass, David & Okuno, Masahiro & Zilcha, Itzhak, 1979. "The role of money in supporting the pareto optimality of competitive equilibrium in consumption-loan type models," Journal of Economic Theory, Elsevier, vol. 20(1), pages 41-80, February.
    22. Olivier Jean Blanchard & Stanley Fischer, 1989. "Lectures on Macroeconomics," MIT Press Books, The MIT Press, edition 1, volume 1, number 0262022834, September.
    23. Kehoe, Timothy J. & Levine, David K. & Mas-Colell, Andreu & Woodford, Michael, 1991. "Gross substitutability in large-square economies," Journal of Economic Theory, Elsevier, vol. 54(1), pages 1-25, June.
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    More about this item

    Keywords

    Overlapping generations; Habits; Indeterminacy ; Sunspots; C62; E20; E32;
    All these keywords.

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • E20 - Macroeconomics and Monetary Economics - - Consumption, Saving, Production, Employment, and Investment - - - General (includes Measurement and Data)
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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