non-cooperative game theory notes by alberto bressan

34
Non-cooperative Game Theory Notes by Alberto Bressan

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Page 1: Non-cooperative Game Theory Notes by Alberto Bressan

Non-cooperative Game TheoryNotes by Alberto Bressan

Page 2: Non-cooperative Game Theory Notes by Alberto Bressan

Static Game Definition

Page 3: Non-cooperative Game Theory Notes by Alberto Bressan

Static Game Assumption

Page 4: Non-cooperative Game Theory Notes by Alberto Bressan

Matrix Games

Page 5: Non-cooperative Game Theory Notes by Alberto Bressan

Static Game Example

Page 6: Non-cooperative Game Theory Notes by Alberto Bressan

Solution Concept – Pareto Optimality

Page 7: Non-cooperative Game Theory Notes by Alberto Bressan

Best Response Maps

Page 8: Non-cooperative Game Theory Notes by Alberto Bressan

Stackelberg Equilibrium

Page 9: Non-cooperative Game Theory Notes by Alberto Bressan

Stackelberg equilibria

Page 10: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium

Page 11: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium Properties

Page 12: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium

Page 13: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium

Page 14: Non-cooperative Game Theory Notes by Alberto Bressan

Prisoner’s Dilemma

Page 15: Non-cooperative Game Theory Notes by Alberto Bressan

Prisoner’s Dilemma

Page 16: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibria

Page 17: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium – Existence in pure strategies

Page 18: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium – Existence in randomized strategies

Page 19: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium – Existence in randomized strategies

Page 20: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium – Existence in randomized strategies

Page 21: Non-cooperative Game Theory Notes by Alberto Bressan

Nash Equilibrium – Existence in randomized strategies

Page 22: Non-cooperative Game Theory Notes by Alberto Bressan

Zero Sum Games

Page 23: Non-cooperative Game Theory Notes by Alberto Bressan

Zero Sum Games

Page 24: Non-cooperative Game Theory Notes by Alberto Bressan

Zero Sum Games

Page 25: Non-cooperative Game Theory Notes by Alberto Bressan

Zero Sum Games

Page 26: Non-cooperative Game Theory Notes by Alberto Bressan

Saddle Points

Page 27: Non-cooperative Game Theory Notes by Alberto Bressan

Saddle Points

Page 28: Non-cooperative Game Theory Notes by Alberto Bressan

Saddle Points

Page 29: Non-cooperative Game Theory Notes by Alberto Bressan

Saddle Point Existence

Page 30: Non-cooperative Game Theory Notes by Alberto Bressan

Rock Paper Scissors

Page 31: Non-cooperative Game Theory Notes by Alberto Bressan

Cooperative-Competitive Solutions

Page 32: Non-cooperative Game Theory Notes by Alberto Bressan

Cooperative-Competitive Solutions

Page 33: Non-cooperative Game Theory Notes by Alberto Bressan

Cooperative-Competitive Solutions

Page 34: Non-cooperative Game Theory Notes by Alberto Bressan

Cooperative-Competitive Solutions