Existence and uniqueness of two fuzzy solutions to cooperative games

DOI

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.

Copyright

© 2013, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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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  - Proceedings of the 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  - 10.2991/.2013.8
ID  - González2013/10
ER  -