Game Theory, summer 2023

Game Theory summer 2023 (under construction).

Game theory, a graduate course at RUNI, Herzliya; Lecturer: Gil Kalai; TA: Ilay Hoshen.

תורת המשחקים

הקורס יעסוק במושגי יסוד, תוצאות מרכזיות, ודוגמאות חשובות בתורת המשחקים הלא שיתופיים ובתורת המשחקים  השיתופיים, ובקשרים של תורת המשחקים לכלכלה ולמדעי המחשב

Game theory, summer 2023

The course will deal with important concepts, central results, and main examples of non-cooperative game theory and of cooperative game theory. Connections with economics, and with computer science will be discussed throughout the course.

  1. Zero-sum games with complete information, The value of a game. Combinatorial games. Is there a value to the game “chess”?
  1. Zero-sum games without complete information. Mixed strategies. The minimax theorem and the value of a game.
  1. General non-cooperative games, Nash equilibrium. The prisoner dilemma. The theorem on the existence of Nash equilibriums.
  1. Cooperative games. The core of a game. The Shapley value. The Nash bargaining problem. Voting rules and Arrow’s theorem.