Bachelor
2023/2024
Decision Systems
Type:
Compulsory course (Information Security)
Area of studies:
Information Security
Delivered by:
Department of Cyber-Physical Systems Information Security
When:
4 year, 1, 2 module
Mode of studies:
offline
Open to:
students of all HSE University campuses
Language:
English
ECTS credits:
6
Contact hours:
40
Course Syllabus
Abstract
The proposed course is designed to introduce students to some areas of decision theory, optimization methods and game theory. Students will be introduced to the basic methods of mathematical modeling and decision making as applied to solving problems in the economic, financial and banking spheres, including decision making under conditions of risk and uncertainty. Various fair sharing procedures will be discussed. Theoretical models are accompanied by numerous practical examples in a variety of industries: making individual and collective decisions, hiring tasks, distribution of influence between company shareholders, etc. The course involves individual and group work on various projects related to real applied problems.
Learning Objectives
- familiarizing students with the basic methods of data analysis, mathematical modeling and decision making in relation to solving problems in the socio-economic, financial and political spheres.
Expected Learning Outcomes
- Can find Pareto optimum and Nash Equilibrium in pure and in mixed strategies
- Explain and apply linear programming
- Analyse simple games, and determine their Nash equilibria.
- apply the knowledge and skills they get to use project management tools and techniques
- students will be able to choose rational options in practical decision-making problems
- students will be able to apply principles of models construction in decision analysis
- students will be able to use choice functions and their rationalization by utility functions and binary relations
- students will be able to use social choice functions and be aware of their properties and deficies
- Apply different methods for solving multicriteria problems
- Evaluate the efficiency of companies taking into account many factors
Course Contents
- Mathematical Model of the Decision Making Situation
- Utility, Preference and Choice
- Uni- and multicriterial choice models
- Social Choice Theory
- Apportionment methods (Proportional representation systems)
- Polarization in parliaments: uni- and multidimensional cases
- Networks
- Assignment problem
- Optimization models: linear programming
- Optimization models on graphs
- Non-cooperative game theory
Interim Assessment
- 2023/2024 2nd module0.5 * Final exam + 0.2 * Home assignments + 0.3 * Mid-term exam
Bibliography
Recommended Core Bibliography
- Aizerman, M. A. (1985). New Problems in the General Choice Theory. Working Papers.
- Aleskerov F., Bouyssou D., Monjardet B. ‘Utility Maximization, Choice and Preference’, Springer Verlag, Berlin, 2007
- Aleskerov, F., Meshcheryakova, N., & Shvydun, S. (2016). Centrality measures in networks based on nodes attributes, long-range interactions and group influence.
- Aleskerov, F., Meshcheryakova, N., Rezyapova, A., & Shvydun, S. (2018). Network analysis of international migration.
- Osborne, M. J. (2009). An introduction to game theory / Martin J. Osborne. New York [u.a.]: Oxford Univ. Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edswao&AN=edswao.324093616
- Taha H.A. Operations Research: An Introduction, 10-th Edition, Pearson Education Limited, 2017. – 849 p. – ISBN: 9781292165561
- Y. Ilker Topcu, Özay Özaydın, Özgür Kabak, & Şule Önsel Ekici. (2021). Multiple Criteria Decision Making : Beyond the Information Age (Vol. 1st ed. 2021). Springer.
Recommended Additional Bibliography
- Aleskerov, F., Meshcheryakova, N., & Shvydun, S. (2016). Centrality measures in networks based on nodes attributes, long-range interactions and group influence.
- Gregory S. Parnell, Terry Bresnick, M., Steven N. Tani, P., & Eric R. Johnson, P. (2012). Handbook of Decision Analysis. Wiley.
- Kenneth D. Lawrence, & Gary Kleinman. (2010). Applications in Multi-criteria Decision Making, Data Envelopment Analysis, and Finance: Vol. 1st ed. Emerald Group Publishing Limited.
- Sherman, E. H. (2015). A Manager’s Guide to Financial Analysis : Powerful Tools for Analyzing the Numbers and Making the Best Decisions for Your Business: Vol. Sixth edition. AMA Self-Study.
- Ward Edwards, Ralph F. Miles Jr, & Detlof von Winterfeldt. (2007). Advances in Decision Analysis : From Foundations to Applications. Cambridge University Press.
- Zamir, S., Solan, E., & Maschler, M. (2013). Game Theory. Cambridge: Cambridge eText. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=527892
- Zopounidis, C., & Doumpos, M. (2017). Multiple Criteria Decision Making : Applications in Management and Engineering. Cham: Springer. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=1231843