Journal of Mathematical Sciences: Advances and ApplicationsAuthor's: Md. Alamgir Hossain, Md. Zulfikar Ali, Md. Asaduzzaman and Md. Sazzad Hossain
Pages: [49] - [69]
Received Date: April 30, 2021; Revised June 25, 2021
Submitted by:
DOI: http://dx.doi.org/10.18642/jmsaa_7100122205
In this paper, we discuss some major applications of Kakutani’s fixed point theorem in game theory. In the course of research work we mostly use the idea of mathematical set, functions, topological properties and Brouwer’s fixed point theorem to make the Kakutani’s fixed point theorem more conspicuous. In the key point of idea, we include how this theory can play the effective role to highlight new fixed point results and their applications in different fields of game theory.
game theory, fixed point, Kakutani’s fixed point theorem, Nash equilibrium, quality management.
