Title: Syllabus-Minta:
Author: Janos Hardi
Last saved by: szabo
Company: Philolaos Publishing

A kurzus kódja: FLN-300, BBN-FIL-401, BMA-FILD-401, BBV-020, BMVD-020, BMA-LOTD-105, BMI-LOTD-506E
A kurzus címe: Játékelmélet
A kurzus címe (angolul): Game theory
A kurzus előadója: Szabó György megbízott előadó (MTA EK MFA)
A kurzus helye és ideje: MÚK 4/i, Room 224 , H 14:00-15:30

A kurzus előfeltétele(i): basic knowledge in vector and matrix calculus and probability theory
A jegyszerzés módja(i): exam
Követelmények: home works and/or introduction of games

Outline:
The main goal of this curse is to demonstrate the ways how the game theory and evolutionary game theory describe real-life situations affecting human behavior, economics, and biological systems. After a brief survey of the basic concepts of the traditional game theory (e.g., games, strategies, Nash equilibria, etc.) we will discuss the fundamental types of interactions in matrix games (games with self- and cross-dependent payoffs, coordination games and cyclic dominance). We study different versions of social dilemmas and also the ways to resolve them. We survey briefly the evolutionary games that combine the concepts of game theory with the spirit of Darwinism. The predictions of the mathematical models will be contrasted with human and animal experiments. Finally we study systems where the evolution is controlled by the competition between different strategy associations.

Literature:
- Karl Sigmund: The Calculus of Selfishness (Princeton, 2010)
- Martin A. Nowak: Evolutionary dynamics (Belknap/Harvard, 2006)
- Herbert Gintis: Game Theory Evolving (Princeton University Press, 2000)
- G. Szabó and G. Fáth: Evolutionary games on graphs, Physics Reports 446 (2007) 97.