Zhonghao Gao
International Department, Beijing Bayi School 29 Suzhou Street, Haidian District, Beijing 100080, China.
*Corresponding author: Zhonghao Gao
Abstract
“Golden Corners, Silver Edges, Grass Belly” represents a crucial strategic principle in Go. This paper employs a Nash equilibrium-based strategy model to quantitatively evaluate the comparative value, validity, and efficiency of different placement positions throughout the game. Results demonstrate that corner placements yield significantly greater benefits than edge or center placements, confirming the mathematical rationale behind this rule. While the model accurately analyzes local formations, it remains limited in accounting for the dynamic evolution of the entire board.
References
[1] An B. Artificial Intelligence and Game Theory: Starting from AlphaGo. China Dev Watch. 2016;(06):13+17.
[2] Gao TT, Ding JH, Shu WA, Yin SQ. Research on AlphaZero-Based Go Game Systems. Intell Comput Appl. 2022;12(10):117-121.
[3] Gao X. Research and Implementation of Go Game Expert Systems [dissertation]. Beijing: Beijing University of Technology; 2002.
[4] Gu R. Research on Several Issues in Computer Go Game Systems [dissertation]. Beijing: Tsinghua University; 2003.
[5] Lin YC. Research on Go Game Based on Deep Learning and Monte Carlo Tree Search [dissertation]. Harbin: Harbin Institute of Technology; 2018.
[6] Tang Y. Research and Application of Machine Learning Algorithms in Go Gameplay [dissertation]. Chongqing: Chongqing University of Technology; 2012.
[7] Xiao F. Application Research and Experimentation of GPU High-Performance Computing in Computer Go Game Systems [dissertation]. Beijing: Beijing University of Posts and Telecommunications; 2011.
[8] Xie CH. The Role of Artificial Intelligence in Go Research. Inf Syst Eng. 2019;(01):105.
[9] Yu YB. Research on Computer Go Game Based on Monte Carlo Tree Search [dissertation]. Dalian: Dalian Maritime University; 2015.
[10] Yu L. Research on Computer Go Game Problems Based on Cognitive Science [dissertation]. Shanghai: East China Normal University; 2011.
[11] Zhou MM. Research on Computer Go Games Based on Expert Systems and Monte Carlo Methods [dissertation]. Nanjing: Nanjing University of Aeronautics and Astronautics; 2012.
[12] Gu R. Research on Several Issues in Computer Go Game Systems [dissertation]. Beijing: Tsinghua University; 2003.
[13] Zhu ZM. A Brief Discussion on the Evolution of Ancient Chinese Go Strategies. J Sichuan Univ Arts Sci. 2016;26(3):98-102.
[14] Shen JH. Mathematical Modeling Issues in Go. J Math Pract Theory. 1995;(3):45-50.
[15] Sheng YJ. Application of Nash Equilibrium in Multi-Level Search Strategies for Computer Go. Comput Eng Appl. 2006;42(19):80-82.
[16] Bouzy B, Cazenave T. Computer Go: An AI-Oriented Survey. Artif Intell. 2001;132(1):39-103.
[17] Tirole J. Game Theory. Renmin University Press; 2015.
How to cite this paper
Analysis of the “Golden Corners, Silver Edges, and Grass Belly” Principle in Go from a Game Theory Perspective
How to cite this paper: Zhonghao Gao. (2025) Analysis of the “Golden Corners, Silver Edges, and Grass Belly” Principle in Go from a Game Theory Perspective. Future Trends in AI Research, 2(1), 12-16.
DOI: http://dx.doi.org/10.26855/ftair.2025.06.003