🔄 Game theory

The Game Theory sub-topic includes materials and calculation tools for the following specific areas:

-Fundamentals of game theory

-Zero-sum games

-Non-zero-sum games

-Cooperative game theory

The Documents & Materials section contains a mathematical description of each calculation tool and the problem sets (2 problems each for 3 levels of difficulty).

Specifically, the following elements are covered:

Fundamentals of game theory

-Players, strategies, payoff matrix

-Dominant strategies, iterated elimination

-Nash equilibrium (pure strategies)

Zero-sum game

-Minimax theorem (von Neumann)

-Saddle point solution

Non-zero-sum game

-Prisoner's dilemma and social dilemmas

-Coordination game

-Price negotiation

-Pareto efficiency vs. Nash

Cooperative game theory

-Definition: Cooperative game

-The Shapley value

-Core of a cooperative game

-Nash bargaining solution