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A comment on ``Pareto improving taxes''

Author

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  • Leventides, John
  • Michelacakis, Nickolas

Abstract

In an article appeared in the Journal of Mathematical Economics, J. Geanakoplos and H. Polemarchakis, [Geanakoplos J. and Polemarchakis H.M.: "Pareto improving taxes", Journal of Mathematical Economics 44 (2008), 682-696], prove on page 685 the following theorem: "Theorem. For almost all economies with separable externalities and L>I, every competitive equilibrium is constrained Pareto suboptimal, that is, for each competitive equilibrium, there exists an anonymous tax package t and a competitive t-equilibrium allocation which Pareto dominates it." It is the purpose of this comment to show that restrictions must be applied on the limiting cases for the theorem to hold. Proposition 1.3, below, gives a counter-positive result and the ensuing Corollary shows that the Theorem in [Geanakoplos & Polemarchakis 2008][p. 685] does not hold for I=2 and subsequently the example given in Section 6, page 693, of Geanakoplos & Polemarchakis (2008)} appears to be incorrect.

Suggested Citation

  • Leventides, John & Michelacakis, Nickolas, 2016. "A comment on ``Pareto improving taxes''," MPRA Paper 69081, University Library of Munich, Germany.
  • Handle: RePEc:pra:mprapa:69081
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    More about this item

    Keywords

    Externalities; Commodity taxes; Constrained suboptimality;
    All these keywords.

    JEL classification:

    • D50 - Microeconomics - - General Equilibrium and Disequilibrium - - - General
    • D6 - Microeconomics - - Welfare Economics
    • D60 - Microeconomics - - Welfare Economics - - - General
    • D62 - Microeconomics - - Welfare Economics - - - Externalities
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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