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Iterative Monotonicity Is Equivalent To Strict Group Monotonicity : A Direct Proof

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Abstract

We provide a direct proof of the following result: Iterative Monotonicity is equivalent to strict group monotonicity, provided that there are three or more players.

Suggested Citation

  • R Jain & V Korpela & M Lombardi, 2021. "Iterative Monotonicity Is Equivalent To Strict Group Monotonicity : A Direct Proof," IEAS Working Paper : academic research 21-A003, Institute of Economics, Academia Sinica, Taipei, Taiwan.
    • Handle: RePEc:sin:wpaper:21-a003
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    File URL: https://www.econ.sinica.edu.tw/~econ/pdfPaper/21-A003(all).pdf
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    Cited by:

    1. R Jain & V Korpela & M Lombardi, 2021. "An Iterative Approach to Rationalizable Implementation," IEAS Working Paper : academic research 21-A001, Institute of Economics, Academia Sinica, Taipei, Taiwan.

    More about this item

    Keywords

    : Implementation; monotonicity; Tarski’s fixed point theorem; rationalizability.;
    All these keywords.

    JEL classification:

    • C79 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Other
    • D82 - Microeconomics - - Information, Knowledge, and Uncertainty - - - Asymmetric and Private Information; Mechanism Design

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