scholarly journals Two Person Zero-Sum Fuzzy Matrix Games and Extensions

2016 ◽  
Author(s):  
Rajani Singh
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix ◽  
Zero Sum

scholarly journals Strategic Management in Marketing: A Game Theoretic Approach

2021 ◽  
Vol 12 (6) ◽  
pp. 2518-2524
Author(s):  
Vinod Jangid, Gaurav Sharma, Ganesh Kumar
Keyword(s):  
Fuzzy Numbers ◽  
Status Quo ◽  
Theoretic Approach ◽  
Ranking Methods ◽  
Matrix Games ◽  
Fuzzy Matrix ◽  
Game Theoretic ◽  
Zero Sum ◽  
Determining Factor ◽  
Game Theoretic Approach

In marketing, a real-world dilemma emerging between two rivals, McDonald's and Burger King, is investigated. Both firms use three strategies: discounted pricing, status quo, and aggressive commercial. In such cases, ambiguity is a determining factor. To deal with confusion in payoffs, octagonal fuzzy numbers are used. To rank fuzzy numbers, the average of odd positions, average of even positions, and quartile deviations are used. To solve the reduced modelled two competitors zero sum fuzzy matrix games, the proposed ranking methods are used. Finally, the findings are compared to current approaches that are quite similar to the proposed approach.

scholarly journals A Fictitious Play Algorithm for Matrix Games with Fuzzy Payoffs

2012 ◽  
Vol 2012 ◽  
pp. 1-12 ◽  
Author(s):  
Emrah Akyar
Keyword(s):  
Order Relation ◽  
Fictitious Play ◽  
Matrix Games ◽  
Fuzzy Matrix ◽  
Zero Sum Games ◽  
Numerical Example ◽  
Value Of The Game ◽  
Zero Sum

Fuzzy matrix games, specifically two-person zero-sum games with fuzzy payoffs, are considered. In view of the parametric fuzzy max order relation, a fictitious play algorithm for finding the value of the game is presented. A numerical example to demonstrate the presented algorithm is also given.

Zero-Sum Matrix Games

2017 ◽  
pp. 25-34
Keyword(s):  
Matrix Games ◽  
Zero Sum

Zero-sum matrix games

2016 ◽  
pp. 89-109
Keyword(s):  
Matrix Games ◽  
Zero Sum

Fuzzy Matrix Games Considering the Criteria of the Players

Kybernetes ◽  
1991 ◽  
Vol 20 (1) ◽  
pp. 17-28 ◽  
Author(s):  
Lourdes Campos ◽  
Antonio Gonzalez
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix

Resolving Indeterminacy Approach to Solve Multi-Criteria Zero-Sum Matrix Games with Intuitionistic Fuzzy Goals

Mathematics ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 305 ◽  
Author(s):  
M. G. Brikaa ◽  
Zhoushun Zheng ◽  
El-Saeed Ammar
Keyword(s):  
Intuitionistic Fuzzy Set ◽  
Implementation Process ◽  
Fuzzy Programming ◽  
Matrix Game ◽  
Great Success ◽  
Matrix Games ◽  
Intuitionistic Fuzzy ◽  
Fuzzy Goals ◽  
Linear Programming Problems ◽  
Zero Sum

The intuitionistic fuzzy set (IFS) is applied in various decision-making problems to express vagueness and showed great success in realizing the day-to-day problems. The principal aim of this article is to develop an approach for solving multi-criteria matrix game with intuitionistic fuzzy (I-fuzzy) goals. The proposed approach introduces the indeterminacy resolving functions of I-fuzzy numbers and discusses the I-fuzzy inequalities concept. Then, an effective algorithm based on the indeterminacy resolving algorithm is developed to obtain Pareto optimal security strategies for both players through solving a pair of multi-objective linear programming problems constructed from two auxiliary I-fuzzy programming problems. It is shown that this multi-criteria matrix game with I-fuzzy goals is an extension of the multi-criteria matrix game with fuzzy goals. Moreover, two numerical simulations are conducted to demonstrate the applicability and implementation process of the proposed algorithm. Finally, the achieved numerical results are compared with the existing algorithms to show the advantages of our algorithm.

Analysis of triangular intuitionistic fuzzy matrix games using robust ranking

2017 ◽  
Vol 33 (1) ◽  
pp. 327-336 ◽  
Author(s):  
Ankan Bhaumik ◽  
Sankar Kumar Roy ◽  
Deng-Feng Li
Keyword(s):  
Matrix Games ◽  
Fuzzy Matrix ◽  
Intuitionistic Fuzzy

Game theory and its economic applications

2018 ◽  
Author(s):  
Анатолий Сигал ◽  
Anatoliy Sigal
Keyword(s):  
Game Theory ◽  
Matrix Games ◽  
Managerial Decisions ◽  
Combined Application ◽  
Finite Games ◽  
Basic Concepts ◽  
Zero Sum ◽  
Risk Managers ◽  
Large Groups ◽  
Antagonistic Games

The manual describes the main sections of game theory, the basic concepts of the theory of economic risks and the conceptual framework for modeling the process of making managerial decisions in the economy based on the combined application of statistical and antagonistic games. Antagonistic games (AG) are the finite games of two persons with zero sum, i.e. matrix games, with classical antagonistic games called AG, given by completely known matrices, and neoclassical antagonistic games – AG, given by partially known matrices. The manual is intended primarily for masters who study in the direction of training "business information". However, it will be useful for students and postgraduates studying in large groups of areas of training "Economics and Management", "Mathematics and Mechanics", "Management in Technical Systems", as well as scientific and pedagogical workers specializing in the field of the theory of games, risk managers , managers and economists-practitioners.

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