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Algoritmy moderní teorie her

Předmět na Matematicko-fyzikální fakulta |
NOPT021

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Week 1

Course

- Matrix games formalism

- Best response

- Minimax policy, Nash equilibrium

- Zero sum games

Practice

- OpenSpiel

- Exploitability computation (i.e policy evaluation)

Week 2

Course

- Minimax theorem

- Minimax policy = Nash equilibrium

- Linear/convex optimization problem

Practice

- Linear programming for solving matrix games

Week 3 - Regret

Course

-Regret

- Folk’s theorem - connecting regret to exploitability

Practice

- Regret minimization in matrix games

- Average/current policy convergence

Week 4 - Sequential Decision Making

Course

- Extensive form games

- Factored observation games

Practice

- Small poker game

- Exploitability computation in extensive form games

Week 5 - Sequence Form

Course

- Sequence -> matrix = exponential explosion

- Sequence form

- Sequence LP

Practice

- Sequence LP

Week 6 - Counterfactual Regret Minimization

Course

- Counterfactual regret minimization

- CFR-BR

Practice

- CFR

Week 7 - Monte Carlo Methods

Course

- MCCFR

- Control variates

Practice

- MCCFR

- VR-MCCFR

Anotace

Výklad základních matematických modelů a pojmů souvisejících s racionalním řešením konfliktních situací.