Existence and uniqueness of two fuzzy solutions to cooperative games
Erick González, Rafael A. Espín, Gustavo Mazcorro, Rafael Espín
Available Online October 2013.
- https://doi.org/10.2991/.2013.8How to use a DOI?
- Fuzzy solution to an n-person cooperative game, Fixed point, Knowledge Engineering
- (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.
- 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 -