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.

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Year of publication:	2003-07-22
Authors:	Raut, Lakshmi K.
Institutions:	EconWPA
Subject:	Shapley Value \| Random Order \| Non-Atomic Games \| Non-standard Analysis

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Extent:	application/pdf
Series:	Game Theory and Information.
Type of publication:	Book / Working Paper
Notes:	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. 345 pages
Classification:	C71 - Cooperative Games
Source:	RePEc - Research Papers in Economics

Persistent link: https://www.econbiz.de/10005062364