Differential Game Theory Notes by Alberto Bressan.

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Transcript of Differential Game Theory Notes by Alberto Bressan.

Differential Game TheoryNotes by Alberto Bressan

Differential Games

Differential Game Assumptions

Information/Strategy Cases

Information/Strategy Cases

Information/Strategy Cases

Information/Strategy Cases

Open Loop Nash Strategies

Finding Nash Strategies using Maximum Principle

Decoupled Differential Games

Duopolistic Market

Duopolistic Market

Duopolistic Market

Producer Consumer Game

Producer Consumer Game

Producer Consumer Game

Open loop Stackelberg Equilibria

Stackelberg Equilibria

Taxing Capitalists

Taxing Capitalists

Taxing Capitalists

Taxing Capitalists

Optimal Markovian Strategies

Feedback Nash Equilibria

Hamilton-Jacobi formulation

Linear differential games

Linear Differential Games

Coupled Riccati Equations

Infinite Horizon Differential Games

Infinite Horizon Nash Equilibrium

Solving Nash Equilibria

Zero Sum Games

Mean field games