What are the different types of games in game theory?

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What are the different types of games in game theory?

There are several different types of games in game theory, including but not limited to:

1. Simultaneous games: These are games where players make their decisions simultaneously, without knowing the choices of other players. Examples include the Prisoner's Dilemma and the Battle of the Sexes.

2. Sequential games: In these games, players make their decisions in a specific order, taking into account the choices made by previous players. Examples include the Ultimatum Game and the Centipede Game.

3. Cooperative games: These are games where players can form coalitions and cooperate with each other to achieve a common goal. Examples include the Prisoner's Dilemma with Cooperation and the Nash Bargaining Game.

4. Non-cooperative games: In contrast to cooperative games, non-cooperative games do not allow for formal agreements or cooperation between players. Examples include the Cournot Game and the Bertrand Game.

5. Zero-sum games: These games involve a fixed amount of total utility or payoff, meaning that any gain by one player is offset by an equal loss by another player. Examples include the Prisoner's Dilemma and the Matching Pennies game.

6. Non-zero-sum games: In these games, the total utility or payoff is not fixed, and players can potentially achieve mutual gains or losses. Examples include the Chicken Game and the Stag Hunt game.

These are just a few examples of the different types of games in game theory, and there are many more variations and combinations that can be explored within each category.