Thesis supervisor: Pál Burai
Location of studies (in Hungarian): Debreceni Egyetem Informatikai Kar Abbreviation of location of studies: DE IK
Description of the research topic:
The concept of Nash equilibria has been a central one and has been a popular research topic since its discovery. These type of points mean a solution of a given game in some sense. However, not every equilibria is as „good” as the others. So, it is an active topic nowdays the classification of Nash points. The main task would be here the examination of known classifications, their relationship, and the stability theory of Nash equilibria. Moreover, development of new classifications based on economical viewpoint, and examination the relationship of the new concept to the older ones. Extension of the known stability results with necessary, sufficient, necessary and sufficient conditions.
Bibliography
• Nash: Non-Cooperative Games, Annals of Mathematics, 54, 286-295, 1951.
• Selten: Reexamination o the Perfectness Concept for Equilibrium Points in Extensive Games, International Journal of Game Theory, !, 25-55, 1975.
• Kohlberg, Mertens: Ont he Strategic Stability of Equilibria, Econometrica, 54, 1003-1037, 1986.
Recommended language skills (in Hungarian): angol Number of students who can be accepted: 1
Deadline for application: 2019-01-15
2024. IV. 17. ODT ülés Az ODT következő ülésére 2024. június 14-én, pénteken 10.00 órakor kerül sor a Semmelweis Egyetem Szenátusi termében (Bp. Üllői út 26. I. emelet).
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