tailieunhanh - A survey of fixed point and economic game theory

This paper surveys the development of fixed point theory regarding to game theory. Moreover, we focus on the theoretical results applied for economics. Many recent papers are also collected and summarized throughout a particular period of time. | Asian Journal of Economics and Banking 2019 3 2 41-49 41 ĨRƯỜA Asian Journal of Economics and Banking ISSN 2588-1396 http . edu .vn Home A Survey of Fixed Point and Economic Game Theory Premyuda Dechboon1 Wiyada Kumam2 and Poom Kumam1 3 1KMUTT-Fixed Point Research Laboratory KMUTT-Fixed Point Theory and Applications Research Group Department of Mathematics Faculty of Science King Mongkut s University of Technology Thonburi KMUTT 126 Pracha-Uthit Road Bang Mod Thrung Khru Bangkok 10140 Thailand 2Program in Applied Statistics Department of Mathematics and Computer Science Faculty of Science and Technology Rajamangala University of Technology Thanyaburi RMUTT Thanyaburi Pathum Thani 12110 Thailand 3Center of Excellence in Theoretical and Computational Science TaCS-CoE Science Laboratory Building King Mongkut s University of Technology Thonburi KMUTT 126 Pracha-Uthit Road Bang Mod Thrung Khru Bangkok 10140 Thailand Article Info Abstract Received 16 03 2019 Accepted 16 08 2019 Available online In Press This paper surveys the development of fixed point theory regarding to game theory. Moreover we focus on the theoretical results applied for eco- Keywords Fixed point problem Game theory Economic equilibrium. JEL classification nomics. Many recent papers are also collected and summarized throughout a particular period of time. B23 MSC2010 classification 47H10 91B50 90-02 t Corresponding author Poom Kumam. Email address 42 P. Dechboon et al. A Survey of Fixed Point and Economic Game Theory 1 INTRODUCTION According to researches on fixed point theory its development has been rapidly growing and playing an important role in modern mathematics. As in most situation the fixed point problem is usually considered in various ways. This theory shows how the pure relates with applied mathematics. Therefore it is used in solving other branches of mathematics for instance variation and optimization problems partial differential equations and .