Zero-sum game theory model for segmenting skin regions

2020 ◽  
Vol 99 ◽  
pp. 103925
Author(s):  
Djamila Dahmani ◽  
Mehdi Cheref ◽  
Slimane Larabi
Keyword(s):  
Author(s):  
João P. Hespanha

This book is aimed at students interested in using game theory as a design methodology for solving problems in engineering and computer science. The book shows that such design challenges can be analyzed through game theoretical perspectives that help to pinpoint each problem's essence: Who are the players? What are their goals? Will the solution to “the game” solve the original design problem? Using the fundamentals of game theory, the book explores these issues and more. The use of game theory in technology design is a recent development arising from the intrinsic limitations of classical optimization-based designs. In optimization, one attempts to find values for parameters that minimize suitably defined criteria—such as monetary cost, energy consumption, or heat generated. However, in most engineering applications, there is always some uncertainty as to how the selected parameters will affect the final objective. Through a sequential and easy-to-understand discussion, the book examines how to make sure that the selection leads to acceptable performance, even in the presence of uncertainty—the unforgiving variable that can wreck engineering designs. The book looks at such standard topics as zero-sum, non-zero-sum, and dynamic games and includes a MATLAB guide to coding. This book offers students a fresh way of approaching engineering and computer science applications.


Author(s):  
Yuan Zhi ◽  
Paul B. Hamilton ◽  
Guoyong Wu ◽  
Ni Hong ◽  
Yuanyuan Sun ◽  
...  

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.


2021 ◽  
Vol 237 ◽  
pp. 01025
Author(s):  
Yanying Zhang ◽  
Gui Jiang ◽  
Ziwei Yu

The pollution problem of SMEs is an important problem to be solved in the process of China’s economic development. Based on the game theory, this paper takes the government and SMEs as the two sides of the game, constructing the game theory model of pollution control of SMEs, putting forward the strategies to promote the pollution control of SMEs according to the analysis results of the model.


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