Proceedings of the Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support

Existence and uniqueness of two fuzzy solutions to cooperative games

Authors
Erick González, Rafael A. Espín, Gustavo Mazcorro, Rafael Espín
Corresponding Author
Erick González
Available Online October 2013.
DOI
https://doi.org/10.2991/.2013.8How to use a DOI?
Keywords
Fuzzy solution to an n-person cooperative game, Fixed point, Knowledge Engineering
Abstract
(FNSKE) and Compensatory Negotiation Solution by Knowledge Engineering (CNSKE) are two new solution concepts to n-person cooperative games. They involve a quantitative index, called Good Deal Index (GDI), which is the matrix solution of a recurrent equation. The existence and uniqueness of the GDI entail the existence and uniqueness of the solutions. Because of the strength of the hypotheses needed to proof uniqueness, and the convergence of the algorithm, those demonstrations are made statistically, using the Strong Law of Large Numbers. The proof of existence is made using the Schauder Theorem of fixed point.
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Proceedings
Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
Part of series
Advances in Intelligent Systems Research
Publication Date
October 2013
ISBN
978-90-78677-86-4
ISSN
1951-6851
DOI
https://doi.org/10.2991/.2013.8How to use a DOI?
Open Access
This is an open access article distributed under the CC BY-NC license.

Cite this article

TY  - CONF
AU  - Erick González
AU  - Rafael A. Espín
AU  - Gustavo Mazcorro
AU  - Rafael Espín
PY  - 2013/10
DA  - 2013/10
TI  - Existence and uniqueness of two fuzzy solutions to cooperative games
BT  - Fourth International Workshop on Knowledge Discovery, Knowledge Management and Decision Support
PB  - Atlantis Press
SP  - 64
EP  - 70
SN  - 1951-6851
UR  - https://doi.org/10.2991/.2013.8
DO  - https://doi.org/10.2991/.2013.8
ID  - González2013/10
ER  -