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A Value on 'AN

Author

Listed:
  • Jean-Francois Mertens
  • Abraham Neyman

Abstract

We prove here the existence of a value (of norm 1) on the spaces 'NA and even 'AN, the closure in the variation distance of the linear space spanned by all games f o \mu, where \mu is a non-atomic, non-negative finitely additive measure of mass 1 and f a real-valued function on [0, 1] which satisfies a much weakened continuity at zero and one.

Suggested Citation

  • Jean-Francois Mertens & Abraham Neyman, 2001. "A Value on 'AN," Discussion Paper Series dp276, The Federmann Center for the Study of Rationality, the Hebrew University, Jerusalem.
    • Handle: RePEc:huj:dispap:dp276
    as

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    File URL: http://ratio.huji.ac.il/sites/default/files/publications/dp276.pdf
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    Other versions of this item:

    • MERTENS, Jean-François & NEYMAN, Abraham, 2003. "A value on 'AN," LIDAM Reprints CORE 1739, Université catholique de Louvain, Center for Operations Research and Econometrics (CORE).

    Citations

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    Cited by:

    1. Jiafeng Chen & Jiaying Gu & Soonwoo Kwon, 2025. "Empirical Bayes shrinkage (mostly) does not correct the measurement error in regression," Papers 2503.19095, arXiv.org.
    2. Neyman, Abraham, 2010. "Singular games in bv'NA," Journal of Mathematical Economics, Elsevier, vol. 46(4), pages 384-387, July.

    More about this item

    Keywords

    games; cooperative; coalitional form; transferable utility; value; continuum of players; non-atomic Classification-MSC-1991: 90A08; 90A07;
    All these keywords.

    JEL classification:

    • D70 - Microeconomics - - Analysis of Collective Decision-Making - - - General
    • D71 - Microeconomics - - Analysis of Collective Decision-Making - - - Social Choice; Clubs; Committees; Associations
    • D63 - Microeconomics - - Welfare Economics - - - Equity, Justice, Inequality, and Other Normative Criteria and Measurement
    • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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