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Game Theory

Game Theory explores mathematical models of strategic interaction among rational decision-makers. It is used in economics, political science, and psychology, as well as logic, computer science, and biology.
Sub-categories:

Cooperative Game Theory assesses how groups of players can form coalitions and how these alliances can distribute collective payoffs.

Non-Cooperative Game Theory examines how players make decisions independently, seeking to maximize their own utility without forming alliances.

Zero-Sum Games represent situations where one participant's gain or loss is exactly balanced by the losses or gains of the other participants.

Non-Zero-Sum Games allow for the possibility that all players can benefit or suffer together, in contrast to the win-lose structure of zero-sum games.

Simultaneous-Move Games analyze scenarios where players choose their strategies at the same time without knowledge of opponents' actions.

Sequential-Move Games explore games where players make decisions at different times, often with knowledge of previous actions.

Perfect Information Games examine scenarios where all players have full knowledge of all past actions and their consequences.

Imperfect Information Games handle situations where players do not possess full knowledge about other players' choices or the state of the game.

Repeated Games study situations where the same game is played multiple times, allowing strategy to evolve over time.

Stochastic Games involve game environments that have probabilistic transitions, adding an element of chance to strategic decision-making.

Evolutionary Game Theory applies principles of natural selection to the study of strategic interactions, focusing on how strategies evolve.

Bargaining Theory explores how two or more parties find a mutually acceptable agreement through negotiation.

Auction Theory investigates how different auction designs and bidding strategies affect the outcomes of auctions.

Voting Theory applies game-theoretic principles to electoral systems to analyze strategic voting, outcomes, and system designs.

Mechanism Design is a field within game theory that designs economic mechanisms or incentives, seeking to achieve desired objectives.

Conflict Resolution studies how to mitigate or resolve conflicts among players with conflicting interests, using strategic interaction methods.