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Enseignement scientifique et technique - Ath-Etr-CTU08 : CTU08-Game Theory

Descriptif

Czech Tecnical University in Prague

Objectifs pédagogiques

Game is a mathematical model of any decision situation, the result of which depends on the decision of at least two different individuals. Since such situations can be found in almost all fields related to our lives, the domain of applications of game theory is exceptionally broad and rich. It covers economics, industry, political and social sciences, transportation, warfare, biology, ethics and many other branches. Game theory not only represents an outstanding opportunity to persuade a wide audience of the importance, usefulness and even attractiveness of mathematics, it also leads mathematicians and technicians to such fields as ethology, evolutionary biology, social sciences, etc., that would otherwise remain marginal for many of them. The aim of the course is to provide the survey of game theory and its fascinating applications.

effectifs minimal / maximal:

10/25

Diplôme(s) concerné(s)

UE de rattachement

Pour les étudiants du diplôme Ingénieur AgroParisTech

None

Pour les étudiants du diplôme Accueillis IAE forestiers (ingénieurs de l'Institut Agro Dijon)

Basic undergraduate calculus and algebra.

Pour les étudiants du diplôme Accueillis cursus ing 2e et 3e année (erasmus et école)

Students are expected to prepare their own CV (Resume) and Letter of Interest before arrival, for in class review and update during the course. Please bring your own laptop (tablet) to be able to edit text files.

Format des notes

Numérique sur 20

Pour les étudiants du diplôme Accueillis IAE forestiers (ingénieurs de l'Institut Agro Dijon)

Vos modalités d'acquisition :

written

Le coefficient de l'UE est : 2

Pour les étudiants du diplôme Accueillis cursus ing 2e et 3e année (erasmus et école)

Vos modalités d'acquisition :

Quiz

Le coefficient de l'UE est : 2

Pour les étudiants du diplôme Ingénieur AgroParisTech

Vos modalités d'acquisition :

Quiz

Le coefficient de l'UE est : 2

Programme détaillé

The course covers:
1. Classification and mathematical models of decision situations, history
2. Utility theory, rational choice theory
3. Explicit form games
4. Normal form games
5. Bimatrix games, methods for equilibrium strategies search
6. Repeated games
7. Antagonistic conflict, theory of matrix games
8. Two-person cooperative games without transferable payoffs
9. N-person cooperative games
10. Power indices
11. Decisions under risk and uncertainty
12. Decisions in conflicts against p-intelligent players

Mots clés

Mathematics
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