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Game Theory - Coggle Diagram
Game Theory
Contexts & Applications
Global behavior
Economics / Political Science
Psychology (rationality)
Game Playing (Chess, Go)
Logic & Computer Science (TCP routing)
Biology (evolutionary strategies)
Famous Problems & Games
The ⅔ Game: Guess ⅔ of the average
Monty Hall Problem: Probability puzzle
2-Finger Morra: Strategy matrix game
Rock Paper Scissors: Classic zero-sum game
Hawk-Dove Game: Evolutionary conflict/conciliation
What is Game Theory?
Study of mathematical models of conflict & cooperation between rational decision-makers
Focus
Optimizing performance
Strategic decision-making
Also called Interactive Decision Theory
Concepts & Equilibria
Pareto Optimality: One gains, another loses
Mixed Strategy Equilibria: Best balance in zero-sum games
Nash Equilibrium:
No player has incentive to change strategy if others don’t
Stability point
Additional Games & Links
Nim
Dots & Boxes
Connect the Dots
Extensive Form (Tree):
Sequential (turn-taking)
Example: Chess
Strategy Optimization
Minimax Algorithm: Find the best worst-case move
Evolutionary Stable Strategy (ESS): Strategy that persists over time in populations
Game Representations
Normal Form (Matrix)
Simultaneous play
Example: Rock Paper Scissors