Game means that when the behaviors of multiple decision-makers interact, each agent makes a decision that is beneficial to him according to his own information and cognition of his own ability.

I. Detailed explanation

Games are an important part of the ancient game activities in China, which generally include: Liubo, Gobang, Weiqi and Chess. It is an important way for the ancients to show their wisdom and plan victory. Liubo prevailed from the Spring and Autumn Period and the Warring States Period to the Qin and Han Dynasties, and it was an indispensable part of people's daily life at that time. Shuanglu originated in the Western Regions and was a popular board game from the Three Kingdoms to the Song and Yuan Dynasties.

Second, the citation of ancient books.

"The Analects of Confucius Yang Huo": "It's hard to eat all day without heart! No players? You are still virtuous in this regard. " ?

Chen Zun: "Grandfather Sui, the eldest son is slightly rational, playing the same game and making progress several times." ? Yan Shigu's note: "Bo, six Bo; The game is also outside. "

Han Yu's Epitaph of Gong Zheng: "If you travel with guests, you will be extremely drunk and play pot games, and you will be poor day and night. If you are happy, you will never get tired. " Ming? Hu Yinglin's "Preface to the Nine Flows of Shao's Mountain House Brush Cluster": "The painter's main book is going to shoot the Imperial Palace, and the game painter will attach it."

Song Sushi's "Ce Bie" XVII: "Being a thief is a game, drinking in the city and calling in the countryside." In the Qing Dynasty, Dai Mingshi's "The God of Wealth Asks for Power": "Gather into a game and be a thief."

Introduction of game theory and pollution game;

Introduction to game theory?

Game theory mainly studies the interaction between formulaic incentive structures. It is a mathematical theory and method to study phenomena with the nature of struggle or competition. Game theory considers the individual's predictive behavior and actual behavior in the game, and studies their optimization strategies. Biologists use game theory to understand and predict some results of evolution.

Game theory has become one of the standard analytical tools of economics. It is widely used in biology, economics, international relations, computer science, political science, military strategy and many other disciplines. The basic concepts include participants, actions, information, strategy, interests, equilibrium and results. Among them, players, strategies and interests are the most basic elements.

2. Pollution games

If there is pollution in the market economy, but the government does not control the environment, in order to maximize profits, enterprises would rather sacrifice the environment and never take the initiative to increase investment in environmental protection equipment. According to the invisible hand principle, all enterprises will start from self-interest and adopt the strategy of ignoring the environment, thus entering the "Nash equilibrium" state.