M7115 Mathematical modelling - seminar

Faculty of Science
Autumn 2010 - only for the accreditation
Extent and Intensity
0/2. 2 credit(s) (příf plus uk k 1 zk 2 plus 1 > 4). Type of Completion: z (credit).
Teacher(s)
doc. RNDr. Martin Kolář, Ph.D. (lecturer)
Guaranteed by
prof. RNDr. Zdeněk Pospíšil, Dr.
Department of Mathematics and Statistics – Departments – Faculty of Science
Prerequisites
Calculus of one and several variables
Course Enrolment Limitations
The course is offered to students of any study field.
The capacity limit for the course is 22 student(s).
Current registration and enrolment status: enrolled: 0/22, only registered: 0/22, only registered with preference (fields directly associated with the programme): 0/22
Course objectives
The aim of the course is to teach students basic models of game theory, mainly from the field of economics. At the end of the course students should be able to: understand main ideas of game theory and explain methods of their applications. They will be able to create a suitable static or dynamic model, with complete or incomplete information, and they will be able to interpret predictions of such a model.
Syllabus
  • Static games with complete information
  • Dominated stategies and Nash equilibrium
  • Cournot and Bernard models of duopoly
  • Duopoly with dominating firm
  • International competition
  • Akerloff's market for lemons
  • Spence's signal model for job market
  • Matrix games
  • Auction models
Literature
  • OSBORNE, Martin J. An introduction to game theory. New York, N.Y.: Oxford University Press, 2004, xvii, 533. ISBN 9780195128956. info
  • OSBORNE, Martin J. and Ariel RUBINSTEIN. A course in game theory. Cambridge, Mass.: MIT Press, 1994, xv, 352. ISBN 0262150417. info
  • MYERSON, Roger B. Game theory : analysis of conflict. Cambridge: Harvard University Press, 1991, xiii, 568. ISBN 0-674-34116-3. info
Teaching methods
Seminar lectures, class discussions
Assessment methods
Final test
Language of instruction
Czech
Further Comments
The course is taught annually.
The course is taught every week.
The course is also listed under the following terms Autumn 2007 - for the purpose of the accreditation, Autumn 2004, Autumn 2005, Autumn 2006, Autumn 2007, Autumn 2008, Autumn 2009, Autumn 2010, Autumn 2011, Autumn 2011 - acreditation, Autumn 2012, Autumn 2013, Autumn 2014, Autumn 2015, Autumn 2016, Autumn 2018.