Fuzzy Game Theory for Web Security

Author(s):  
Abdul Quaiyum Ansari ◽  
Koyel Datta Gupta
Keyword(s):  
2007 ◽  
Vol 03 (02) ◽  
pp. 259-269 ◽  
Author(s):  
AREEG ABDALLA ◽  
JAMES BUCKLEY

In this paper, we consider a two-person zero-sum game with fuzzy payoffs and fuzzy mixed strategies for both players. We define the fuzzy value of the game for both players [Formula: see text] and also define an optimal fuzzy mixed strategy for both players. We then employ our fuzzy Monte Carlo method to produce approximate solutions, to an example fuzzy game, for the fuzzy values [Formula: see text] for Player I and [Formula: see text] for Player II; and also approximate solutions for the optimal fuzzy mixed strategies for both players. We then look at [Formula: see text] and [Formula: see text] to see if there is a Minimax theorem [Formula: see text] for this fuzzy game.


2011 ◽  
Vol 15 ◽  
pp. 3450-3455 ◽  
Author(s):  
Zhang Yanchao ◽  
Liu Kai ◽  
Cui Yahui ◽  
Zhou Chunguo
Keyword(s):  

2020 ◽  
Vol 41 (7) ◽  
pp. 1633-1644
Author(s):  
Koyel Datta Gupta ◽  
Abdul Quaiyum Ansari ◽  
Premchand Saxena ◽  
Rinky Dwivedi

2020 ◽  
Vol 26 (10) ◽  
pp. 1148-1157
Author(s):  
V. B. Vilkov ◽  
V. A. Plotnikov ◽  
P. V. Plotnikov ◽  
A. K. Chernykh

The presented study models market behavior strategies for firms in real (“impure”) markets.Aim. The presented study aims to develop tools for optimizing (according to the criterion of profit maximization) the market behavior of firms based on the achievements of modern mathematics.Tasks. The authors describe theoretical approaches to modeling the behavior of firms; define the problem of modeling the market behavior of firms in the language of game theory; modify the game model by implementing elements of the theory of fuzzy logic and fuzzy sets; develop and test a methodological approach to identifying the optimal behavior of firms based on fuzzy game modeling.Methods. This study uses general methods of economic and mathematical modeling, provisions of neoclassical and institutional firm theory, tools of game theory and the theory of fuzzy logic and fuzzy sets.Results. The optimal market behavior strategy for firms selling the same product is determined. The implementation of this strategy focuses on maximizing profits with allowance for the imperfections of real markets. A rigorous solution to this problem is proposed, based on the provisions of game theory, theory of fuzzy sets and fuzzy logic. The developed methodological approach to identifying the optimal market behavior strategy based on fuzzy game modeling is illustrated by a meaningful example.Conclusions. The developed and tested methodological approach to identifying the optimal market behavior strategy based on fuzzy game modeling described in the article allows firms to search for optimal strategies with allowance for the imperfections of real markets. It can be used for theoretical modeling of the behavior of firms in an “impure” market, including in a mixed economy, where the government has a certain degree of planning and administrative influence on economic processes. The proposed approach can be recommended for use by the management of firms in the development and implementation of competitive strategies.


2011 ◽  
Vol 11 (3) ◽  
pp. 681-697 ◽  
Author(s):  
M. MEDINECKIENE ◽  
E.K. ZAVADSKAS ◽  
Z. TURSKIS
Keyword(s):  

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