What are the different types of games in game theory?

In game theory, there are several different types of games that are commonly studied. These include:

1. Cooperative Games: In cooperative games, players can form coalitions and work together to achieve a common goal. The focus is on how players can cooperate and distribute the benefits among themselves.

2. Non-Cooperative Games: Non-cooperative games are characterized by players making decisions independently, without any formal agreements or communication. Each player aims to maximize their own individual payoff, leading to strategic interactions.

3. Simultaneous Games: Simultaneous games are those in which players make their decisions simultaneously, without knowing the choices made by other players. This type of game often involves strategic thinking and predicting the actions of others.

4. Sequential Games: Sequential games involve players making decisions in a specific order, with each player observing the actions of previous players before making their own choice. This type of game allows for strategic moves based on the actions of others.

5. Zero-Sum Games: Zero-sum games are those in which the total payoff is constant, meaning that any gain by one player is offset by an equal loss for another player. In these games, the interests of players are directly opposed to each other.

6. Non-Zero-Sum Games: Non-zero-sum games are those in which the total payoff is not constant, allowing for the possibility of mutual gains or losses. In these games, players can have overlapping or complementary interests.

7. Symmetric Games: Symmetric games are those in which all players have the same set of strategies and payoffs. This type of game assumes that players are identical in terms of their decision-making abilities and preferences.

8. Asymmetric Games: Asymmetric games are those in which players have different sets of strategies and payoffs. This type of game recognizes that players may have varying abilities, resources, or preferences, leading to different decision-making processes.

These different types of games provide a framework for analyzing strategic interactions and decision-making in various economic and social situations.