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A value on ′AN

Author

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  • Jean-François Mertens

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  • Abraham Neyman

    ()

Abstract

We prove here the existence of a value (of norm 1) on the spaces ′N A and even ′A N, the closure in the variation distance of the linear space spanned by all games f∘μ, where μ 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 weaker continuity at zero and one. Copyright Springer-Verlag 2003

Suggested Citation

  • Jean-François Mertens & Abraham Neyman, 2003. "A value on ′AN," International Journal of Game Theory, Springer;Game Theory Society, vol. 32(1), pages 109-120, December.
  • Handle: RePEc:spr:jogath:v:32:y:2003:i:1:p:109-120
    DOI: 10.1007/s001820300147
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    File URL: http://hdl.handle.net/10.1007/s001820300147
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    Cited by:

    1. 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; D70; D71; D63; C71;

    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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