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Bubbly Markov Equilibria

Author

Listed:
  • Martin Barbie

    () (University of Cologne)

  • Marten Hillebrand

    () (Johannes Gutenberg University Mainz)

Abstract

Bubbly Markov Equilibria (BME) are recursive equilibria on the natural state space which admit a non-trivial bubble. The present paper studies the existence and properties of BME in a general class of overlapping generations (OLG) economies with capital accumulation and stochastic production shocks. Using monotone methods, we develop a general approach to construct Markov equilibria and provide necessary and sufficient conditions for these equilibria to be bubbly. Our main result shows that a BME exists whenever the bubbleless equilibrium is Pareto inefficient either due to overaccumulation of capital or inefficient risksharing between generations.

Suggested Citation

  • Martin Barbie & Marten Hillebrand, 2017. "Bubbly Markov Equilibria," Working Papers 1703, Gutenberg School of Management and Economics, Johannes Gutenberg-Universität Mainz.
  • Handle: RePEc:jgu:wpaper:1703
    as

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    File URL: http://www.macro.economics.uni-mainz.de/RePEc/pdf/Discussion_Paper_1703.pdf
    File Function: First version, 2017
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    References listed on IDEAS

    as
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    3. Daisuke Ikeda & Toan Phan, 2016. "Toxic asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 241-271, February.
      • Daisuke Ikeda & Toan Phan, 2016. "Toxic asset bubbles," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 61(2), pages 241-271, February.
    4. Magill, Michael & Quinzii, Martine, 2003. "Nonshiftable capital, affine price expectations and convergence to the Golden Rule," Journal of Mathematical Economics, Elsevier, vol. 39(3-4), pages 239-272, June.
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    More about this item

    Keywords

    Asset Bubbles; Stochastic OLG; Production; Markov Equilibria; Pareto Optimality.;

    JEL classification:

    • C62 - Mathematical and Quantitative Methods - - Mathematical Methods; Programming Models; Mathematical and Simulation Modeling - - - Existence and Stability Conditions of Equilibrium
    • D51 - Microeconomics - - General Equilibrium and Disequilibrium - - - Exchange and Production Economies
    • E32 - Macroeconomics and Monetary Economics - - Prices, Business Fluctuations, and Cycles - - - Business Fluctuations; Cycles

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