Game Theory
Game theory, also known as strategy theory or game theory, is not only a new branch of modern mathematics, but also an important discipline in operations research. It mainly studies the interaction between incentive structures, considers the predicted and actual behaviors of individuals in the game, and studies related optimization strategies.
Game behavior refers to competitive or confrontational behavior. In this type of behavior, the parties involved in the struggle or competition have different goals or interests. In order to achieve their goals, they need to consider the opponent's various possible action plans and try to choose the most favorable or reasonable plan for themselves. Game theory is the study of whether there is the most reasonable action plan for the two parties in the game behavior, and the mathematical theory and method of how to find this plan.
Game Type
- Cooperative game and non-cooperative game: It is determined by whether there is a binding agreement between the parties. If there is, it is a cooperative game, and if not, it is a non-cooperative game.
- Complete information game and incomplete information game: judged based on the degree of knowledge of other participants. Complete game means that the participants know each other's information, while incomplete information game means that the participants do not know each other's information completely.
- Finite games and infinite games: classified by the number of times the game is played and the duration of the game;
- General games and expanded games: classified by form of expression;
- Traditional games and evolutionary games: classified according to the logical basis of the game.