A Non-standard Analysis of Aumann-Shapley Random Order Values of Non-atomic Games
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.
|Date of creation:||22 Jul 2003|
|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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- Lakshmi K. Raut, 1996. "A reformulation of Aumann-Shapley random order values of non- atomic games using invariant measures," Game Theory and Information 9603001, EconWPA.
- 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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