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Characterizing core stability with fuzzy games

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Author Info
Evan Shellshear () (Institute of Mathematical Economics, Bielefeld University)
Abstract

This paper investigates core stability of cooperative, TU games via a fuzzy extension of the totally balanced cover of a TU game. The stability of the core of the fuzzy extension of a game, the concave extension, is shown to reflect the core stability of the original game and vice versa. Stability of the core is then shown to be equivalent to the existence of an equilibrium of a certain correspondence.

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File URL: http://www.imw.uni-bielefeld.de/papers/files/imw-wp-410.pdf
File Format: application/pdf
File Function: First version, 2009
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Publisher Info
Paper provided by Bielefeld University, Institute of Mathematical Economics in its series Working Papers with number 410.

Download reference. The following formats are available: HTML (with abstract), plain text (with abstract), BibTeX, RIS (EndNote, RefMan, ProCite), ReDIF
Length: 14 pages
Date of creation: Jan 2009
Date of revision:
Handle: RePEc:bie:wpaper:410

Contact details of provider:
Postal: Postfach 10 01 31, 33501 Bielefeld
Web page: http://www.imw.uni-bielefeld.de/
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Related research
Keywords: cooperative game; core; stable set; fuzzy coalition; fuzzy game; core stability;

Find related papers by JEL classification:
C71 - Mathematical and Quantitative Methods - - Game Theory and Bargaining Theory - - - Cooperative Games

This paper has been announced in the following NEP Reports:

References listed on IDEAS
Please report citation or reference errors to , or , if you are the registered author of the cited work, log in to your RePEc Author Service profile, click on "citations" and make appropriate adjustments.:
  1. Yaron Azrieli & Ehud Lehrer, 2007. "Market Games in Large Economies with a Finite Number of Types," Economic Theory, Springer, vol. 31(2), pages 327-342, May. [Downloadable!] (restricted)
  2. Yaron Azrieli & Ehud Lehrer, 2007. "On some families of cooperative fuzzy games," International Journal of Game Theory, Springer, vol. 36(1), pages 1-15, September. [Downloadable!] (restricted)
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This page was last updated on 2009-12-3.

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