Operations Research and Game Theory

2024/2025

Academic Year

ENG

Instruction in English

6

ECTS credits

Delivered at:

Department of Mathematics

Course type:

Compulsory course

When:

3 year, 3, 4 module

Instructor

Sandomirskaia, Marina

Course Syllabus

Abstract

This course has two parts. The first part introduces main concepts and models of classic and modern operations research. The operations research combines methods from different fields of mathematics in order to aid decision makers in making optimal decisions. In order to apply operations research methods, one needs to transform an actual problem into an appropriate mathematical model. In order to develop intuition for developing mathematical models all the operations research techniques are widely illustrated by examples from different industries, including agriculture, oil and gas, manufacturing, urban development, and retail. The second part of the course is devoted to game theory is a mathematical language of modern social science including economic theory, political science, evolutionary biology, computer science, etc. This course covers the non-cooperative game theory, bargaining theory, foundations of mechanism design, as well as giving insights into some of its present-day applications. The course presents main ideas and techniques of game-theoretic analysis. The aim is to teach students to use game theoretic approach in modeling of real-life problem and to think strategically. Success with this course gives edge both in deeper understanding of human behavior and in tackling business problems.