Extended study about model in game theory

Abstract

The earliest examples of game thinking recorded in the literature can be traced back to the "King Tianji of Qiwei's horse racing" in China more than 2,000 years ago. Besides, the "marriage contract problem" was also crucial in the Babylonian Talmud of 1,500 years ago according to modern economics. The idea of game theory has aroused people's interest and attention. The theory began to have more and more followers. This article presents an extension of existing literature. The paper introduces the basic mainstream form of prisoner's dilemma in fundamental Symmetric forms based on earlier conclusions from other researchers. It examines the problem in the prisoner's dilemma. This work just solves the modal in an ideal condition and the exterior assumption introduces modal and consequence from other scholars.