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Bubbly Markov Equilibria

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  • 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
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    References listed on IDEAS

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    3. Rabah Amir, 2018. "Special issue: supermodularity and monotone methods in economics," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 66(3), pages 547-556, October.
    4. Bloise, Gaetano & Polemarchakis, Herakles & Vailakis, Yiannis, 2018. "Sustainable Debt," CRETA Online Discussion Paper Series 45, Centre for Research in Economic Theory and its Applications CRETA.
    5. Chattopadhyay, Subir, 2018. "The unit root property and optimality with a continuum of states—Pure exchange," Journal of Mathematical Economics, Elsevier, vol. 78(C), pages 105-118.
    6. Tomohiro Hirano & Alexis Akira Toda, 2023. "Bubble Necessity Theorem," CIGS Working Paper Series 23-011E, The Canon Institute for Global Studies.

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    More about this item

    Keywords

    Asset Bubbles; Stochastic OLG; Production; Markov Equilibria; Pareto Optimality.;
    All these keywords.

    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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