We will give a definition of a generalization of the game of go in terms of game theory. This generalization results in a game playable not only on a wooden board, but on graphs, digraphs, or most general, on spaces with relations. The generalization reduces to the well known game of go when choosing parameters appropriately.
목차
Abstract 1. Introduction 1.1. Disclaimer. 1.2. Acknowledgements. 2. Definition and game theory 2.1. Chinese rules. 2.2. Intention. 2.3. Playing materials. 2.4. Chains and liberties. 2.5. Placing stones. 2.6. Ko. 2.7. Scoring. 2.8. Let’s play a game. 3. Abstract go 3.1. The category of gos. 3.2. Exploring the category of gos. 3.3. Miscellaneous constructions. 3.4. Pointed gos. 4. Properties of gos 4.1. Basic properties. 4.2. Digraph go. References