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Comment on ‘Asset Bubbles and Overlapping Generations’ by Jean Tirole

Author

Listed:
  • Ngoc-Sang Pham

    (Métis Lab EM Normandie - EM Normandie - École de Management de Normandie = EM Normandie Business School)

  • Alexis Akira Toda

    (Emory University [Atlanta, GA])

Abstract

Tirole (1985) studied an overlapping generations model with capital accumulation and showed that the emergence of asset bubbles solves the capital over‐accumulation problem. His Proposition 1(c) claims that if the dividend growth rate is above the bubbleless interest rate (the steady‐state interest rate in the economy without the asset) but below the population growth rate, then bubbles are necessary in the sense that there exists no bubbleless equilibrium but there exists a unique bubbly equilibrium. We show that this result (as stated) is incorrect by presenting an example economy that satisfies all assumptions of Proposition 1(c) but its unique equilibrium is bubbleless. We also restore Proposition 1(c) under the additional assumptions that initial capital is sufficiently large and dividends are sufficiently small. We show through examples that these conditions are essential.

Suggested Citation

  • Ngoc-Sang Pham & Alexis Akira Toda, 2026. "Comment on ‘Asset Bubbles and Overlapping Generations’ by Jean Tirole," Post-Print hal-05642863, HAL.
    • Handle: RePEc:hal:journl:hal-05642863
    DOI: 10.3982/ECTA24365
    as

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