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Mahjong is a very popular tile-based game commonly played by four players. Each player begins with a hand of 13 tiles and, in turn, players draw and discard (i.e., change) tiles until they complete a legal hand using a 14th tile. In this…

Artificial Intelligence · Computer Science 2019-03-11 Sanjiang Li , Xueqing Yan

We illustrate how one can use basic combinatorial theory and computer programming technique (Python) to analyze the combinatorial game: Mahjong. The results confirm some folklore concerning the game, and expose some unexpected results.…

History and Overview · Mathematics 2019-01-24 Yuan Cheng , Chi-Kwong Li , Sharon H. Li

The stable marriage problem, as addressed by Gale and Shapely [1] consists of providing a bipartite matching between n " boys " and n " girls "-each of whom have a totally ordered preference list over the other set-such that there exists no…

Computer Science and Game Theory · Computer Science 2016-08-30 Mircea Adrian Digulescu

This article examines mean-field games for marriage. The results support the argument that optimizing the long-term well-being through effort and social feeling state distribution (mean-field) will help to stabilize marriage. However, if…

Optimization and Control · Mathematics 2015-06-19 Dario Bauso , Ben Mansour Dia , Boualem Djehiche , Hamidou Tembine , Raul Tempone

Mahjong is a complex game with an intractably large state space with extremely sparse rewards, which poses challenges to develop an agent to play Mahjong. To overcome this, the ShangTing function was adopted as a reward shaping function.…

Computer Science and Game Theory · Computer Science 2023-05-09 Kai Jun Chen , Lok Him Lai , Zi Iun Lai

As one of the worldwide spread traditional game, Official International Mahjong can be played and promoted online through remote devices instead of requiring face-to-face interaction. However, online players have fragmented playtime and…

Artificial Intelligence · Computer Science 2026-01-14 Chucai Wang , Lingfeng Li , Yunlong Lu , Wenxin Li

The tile-based multiplayer game Mahjong is widely played in Asia and has also become increasingly popular worldwide. Face-to-face or online, each player begins with a hand of 13 tiles and players draw and discard tiles in turn until they…

Artificial Intelligence · Computer Science 2021-08-17 Xueqing Yan , Yongming Li , Sanjiang Li

Mahjong is a popular multi-player imperfect-information game developed in China in the late 19th-century, with some very challenging features for AI research. Sanma, being a 3-player variant of the Japanese Riichi Mahjong, possesses unique…

Artificial Intelligence · Computer Science 2022-05-17 Xiangyu Zhao , Sean B. Holden

Randomness is an important factor in games, so much so that some games rely almost purely on it for its outcomes and increase players' engagement with them. However, randomness can affect the game experience depending on when it occurs in a…

Human-Computer Interaction · Computer Science 2021-07-20 Yiwen Zhang , Diego Monteiro , Hai-Ning Liang , Jieming Ma , Nilufar Baghaei

Artificial Intelligence (AI) has achieved great success in many domains, and game AI is widely regarded as its beachhead since the dawn of AI. In recent years, studies on game AI have gradually evolved from relatively simple environments…

Artificial Intelligence · Computer Science 2020-04-02 Junjie Li , Sotetsu Koyamada , Qiwei Ye , Guoqing Liu , Chao Wang , Ruihan Yang , Li Zhao , Tao Qin , Tie-Yan Liu , Hsiao-Wuen Hon

Counterfactual Regret Minimization(CFR) has shown its success in Texas Hold'em poker. We apply this algorithm to another popular incomplete information game, Mahjong. Compared to the poker game, Mahjong is much more complex with many…

Artificial Intelligence · Computer Science 2023-07-25 Shiheng Wang

The stable marriage problem has been introduced in order to describe a complex system where individuals attempt to optimise their own satisfaction, subject to mutually conflicting constraints. Due to the potential large applicability of…

Statistical Mechanics · Physics 2009-10-31 G. Caldarelli , A. Capocci

People need to internalize the skills of AI agents to improve their own capabilities. Our paper focuses on Mahjong, a multiplayer game involving imperfect information and requiring effective long-term decision-making amidst randomness and…

Artificial Intelligence · Computer Science 2026-01-21 Lingfeng Li , Yunlong Lu , Yongyi Wang , Qifan Zheng , Wenxin Li

The evaluation function for imperfect information games is always hard to define but owns a significant impact on the playing strength of a program. Deep learning has made great achievements these years, and already exceeded the top human…

Artificial Intelligence · Computer Science 2019-06-10 Shiqi Gao , Fuminori Okuya , Yoshihiro Kawahara , Yoshimasa Tsuruoka

Online dating emerged as a key platform for human mating. Previous research focused on socio-demographic characteristics to explain human mating in online dating environments, neglecting the commonly recognized relevance of sport. This…

General Economics · Economics 2021-04-13 Daniel Boller , Michael Lechner , Gabriel Okasa

Various social dilemma games that follow different strategy updating rules have been studied on many networks.The reported results span the entire spectrum, from significantly boosting,to marginally affecting,to seriously decreasing the…

Physics and Society · Physics 2015-06-17 Qiang Zhang , Tianxiao Qi , Keqiang Li , Zengru Di , Jinshan Wu

Most of the mammal species hold polygynous mating systems. The majority of the marriage systems of mankind were also polygynous over civilized history, however, socially imposed monogamy gradually prevails throughout the world. This is…

Social and Information Networks · Computer Science 2020-08-28 Ning Cai , Chen Diao , Bo-Han Yan , Jin-Hu Liu

Bipartite matching problem is to study two disjoint groups of agents who need to be matched pairwise. It can be applied to many real-world scenarios and explain many social phenomena. In this article, we study the effect of competition on…

Physics and Society · Physics 2018-11-15 Yi-Xiu Kong , Guang-Hui Yuan , Lei Zhou , Rui-Jie Wu , Gui-Yuan Shi

In this paper we present results from recent experiments that suggest that chess players associate emotions to game situations and reactively use these associations to guide search for planning and problem solving. We describe the design of…

Human-Computer Interaction · Computer Science 2018-10-29 Thomas Guntz , James Crowley , Dominique Vaufreydaz , Raffaella Balzarini , Philippe Dessus

The study of marriage dynamics and of strategies to reduce the likelihood of divorce has been an important research area for many years. Gottman's research on successful marriages revealed three matched interaction styles:…

Optimization and Control · Mathematics 2024-06-12 Micah Henson , Mark Kot , Ka-Kit Tung
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