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HomeHomework HelpeconomicsGame Theory Applications

Game Theory Applications

Game Theory Applications in biology refer to the use of mathematical models to analyze and predict the strategic interactions between individuals or species, particularly in contexts such as competition, cooperation, and evolutionary dynamics. These applications help to understand behaviors and decision-making processes in ecological and evolutionary scenarios.

intermediate
3 hours
Economics
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Overview

Game theory is a mathematical framework for analyzing strategic interactions among rational decision-makers. It provides insights into how individuals or groups can optimize their outcomes in competitive situations. By understanding concepts like Nash Equilibrium and zero-sum games, learners can app...

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Key Terms

Nash Equilibrium
A situation where no player can benefit by changing their strategy while the other players keep theirs unchanged.

Example: In a pricing game, if both companies set the same price, neither can gain by changing it alone.

Zero-Sum Game
A situation in which one participant's gain or loss is exactly balanced by the losses or gains of other participants.

Example: In poker, the total amount won by one player is equal to the total amount lost by others.

Cooperative Game
A game where players can form coalitions and negotiate shared strategies.

Example: In a joint venture, companies collaborate to maximize profits.

Dominant Strategy
A strategy that is optimal for a player, regardless of what the other players do.

Example: In a prisoner's dilemma, confessing is a dominant strategy for both players.

Payoff Matrix
A table that describes the payoffs in a strategic interaction for each combination of strategies.

Example: A payoff matrix can show the outcomes of different pricing strategies between two firms.

Mixed Strategy
A strategy where a player randomizes over possible moves to keep opponents uncertain.

Example: In rock-paper-scissors, a player may choose each option with equal probability.

Related Topics

Behavioral Economics
Study of how psychological factors affect economic decision-making.
intermediate
Auction Theory
Analysis of bidding strategies in auction settings.
intermediate
Mechanism Design
Field focused on designing rules for a game to achieve desired outcomes.
advanced

Key Concepts

Nash EquilibriumZero-Sum GamesCooperative GamesDominant Strategies