0629 Game Theory and Information Economics Homework Assignment 2 Yilin Wang 2011125833 Rationality versus Irrationality ——Games on Sincerity Resources The paper will focus on two oaths of alliance in Chu–Han Contention (206–202 BC). Background: Following the collapse of the Qin Dynasty, Xiang Yu split the former Qin Empire into the Eighteen Kingdoms. Two prominent contending powers, Western Chu and Han, emerged from these principalities and engaged in a struggle for supremacy over China. Western Chu was led by Xiang Yu, while the Han leader was Liu Bang. In 207 BC, a covenant was created between the vassals that the one who first entered Guanzhong would be the emperor. In 206 BC, Xiang Yu appointed een vassals as kings in Xianyang. He broke the agreement made between vassals and appointed himself as the King of West Chu. Liu Bang was appointed the King of Han and given the land of Bashu (a remote region) as his domain. On the eve of Feast at Hong Gate, compared to Liu Bang, Xiang Yu had an absolute advantage in troops. As a result, Xiang Yu broke the covenant by virtue of his strength. On the other hand, Liu Bang was not strong enough pete directly with Xiang Yu so that he chose to accept the title King of Han on the hoof. Liu Bang (weak) Fight Ally Xiang Yu (strong) Fight 5,-1 5,-1 Ally 4,-1 5,4 1-1: Chu–Han Contention This is like a game between two bo