Fuzzy Cooperative Games of Two Players under Uncertainty Conditions

Autor:	Helen Zaichenko
Rok vydání:	2020
Předmět:	Computer Science::Computer Science and Game Theory Mathematical optimization symbols.namesake Linear programming Generalization Minimax theorem symbols Point (geometry) Fuzzy logic Game theory Mathematics Von Neumann architecture
Zdroj:	2020 IEEE 2nd International Conference on System Analysis & Intelligent Computing (SAIC).
DOI:	10.1109/saic51296.2020.9239214
Popis:	Fuzzy games of two persons under uncertainty conditions are considered. For its solution the generalization of two games theory was developed based on fuzzy mathematical programing. Fuzzy antagonistic game of two persons is formulated, its mathematical model is constructed which is fuzzy linear programing problem. Fuzzy minimax theorem for optimal strategies of players is formulated (analogue of John von Neumann). Cooperative bi-matrix game under uncertainty conditions is also considered and generalization of Nash theorem for fuzzy conditions is developed. Its model was constructed and method of finding best compromise strategies of level $\alpha$ was suggested. The theorem for best solutions (fuzzy Nash point) was formulated. The example of application of the suggested approach is presented and investigated
Databáze:	OpenAIRE
Externí odkaz:	https://explore.openaire.eu/search/publication?articleId=doi_________::2b8311a700c4af85a7720f1981f38b6d https://doi.org/10.1109/saic51296.2020.9239214 Zobrazit plný text záznamu