What are the different types of games studied in game theory?

In game theory, various types of games are studied to analyze strategic decision-making and behavior. Some of the different types of games studied in game theory include:

1. Cooperative Games: These are games where players can form coalitions and cooperate to achieve a common goal. The focus is on how players can work together to maximize their joint payoffs.

2. Non-Cooperative Games: These are games where players make decisions independently and do not form coalitions. Each player aims to maximize their own individual payoff, leading to strategic interactions and potential conflicts.

3. Simultaneous Games: In these games, players make their decisions simultaneously, without knowing the choices made by other players. The outcome is determined by the combination of choices made by all players.

4. Sequential Games: These games involve players making decisions in a specific order, where the actions of earlier players can influence the choices and outcomes of subsequent players. Players must consider the potential reactions of others when making their decisions.

5. Zero-Sum Games: In zero-sum games, the total payoff is constant, meaning that any gain by one player is offset by an equal loss by another player. The interests of players are directly opposed, and the game is competitive in nature.

6. Non-Zero-Sum Games: These games allow for the possibility of both cooperative and competitive outcomes, where the total payoff can vary. Players can potentially achieve mutual gains or losses, and cooperation can lead to better outcomes for all involved.

7. Symmetric Games: In symmetric games, all players have the same set of strategies and payoffs. The actions and outcomes for each player are identical, leading to a balanced and symmetrical game structure.

8. Asymmetric Games: These games involve players with different sets of strategies and payoffs. The actions and outcomes for each player can vary, leading to an imbalanced and asymmetrical game structure.

By studying these different types of games, game theory provides insights into decision-making, strategic behavior, and the dynamics of interactions in various economic and social situations.