The boxed pigs (or national pigs) game is a classical and popular story, which is used as an example of an economic game, where weakness can be an advantage. This book gives out non-L systems of boxed (or rational) pigs games (L-system of boxed pigs game was published by Columbia International Publishing in 2015). This book is divided into four parts. The first part researches simple systems. The second part discusses instant systems. The third part studies timing systems. The fourth part introduces L-system. Every one of the first three parts is divided into 0-peace system and 1-peace system. The relations among these systems are discussed as well. Additionally, as an appendix, the future research plans on axiomatic theory of boxed pigs game are published.