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A Non-standard Analysis of Aumann-Shapley Random Order Values of Non-atomic Games

Author

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  • Lakshmi K. Raut

    (Cal State Fullerton)

Abstract

Using techniques from the non-standard analysis, a non-standard analogue of the Aumann-Shapley random order value of non-atomic games is provided. The paper introduces the notion of effectively ergodic family of automorphism groups. It is shown that for a wide class of games, the non-standard random order value with respect to an effectively ergodic family of automorphism groups coincides with the standard Aumann-Shapley value.

Suggested Citation

  • Lakshmi K. Raut, 2003. "A Non-standard Analysis of Aumann-Shapley Random Order Values of Non-atomic Games," Game Theory and Information 0307003, University Library of Munich, Germany.
    • Handle: RePEc:wpa:wuwpga:0307003
    Note: Type of Document - Tex; prepared on IBM PC - PC-TEX; to print on HP/PostScript/Franciscan monk; pages: 345,395,4323247 ; figures: included/request from author/draw your own. Circulated for comments and citations.
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    File URL: https://econwpa.ub.uni-muenchen.de/econ-wp/game/papers/0307/0307003.pdf
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    References listed on IDEAS

    as
    1. Lakshmi K. Raut, 1996. "A reformulation of Aumann-Shapley random order values of non- atomic games using invariant measures," Game Theory and Information 9603001, University Library of Munich, Germany.
    2. Raut, Lakshmi K., 1997. "Construction of a Haar measure on the projective limit group and random order values of non-atomic games," Journal of Mathematical Economics, Elsevier, vol. 27(2), pages 229-250, March.
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      More about this item

      Keywords

      Shapley Value; Random Order; Non-Atomic Games; Non-standard Analysis.;
      All these keywords.

      JEL classification:

      • C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

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