Game Theory
Abbreviation: TEOIG Load: 30(L) + 0(E) + 30(LE) + 0(S) + 0(FLE) + 0(PEE)
Lecturers in charge: dr. sc. Jasmina Pašagić Škrinjar
Lecturers: izv. prof. dr. sc. Borna Abramović ( Laboratory exercises, Lectures )
prof. dr. sc. Jasmina Pašagić Škrinjar ( Laboratory exercises )
Course description: Basic concepts of logistic game theory. General terms and definitions in the domain of matrix games. Neumann Criterion. Saddle point games. Domination. Games without Saddle point. Nash equilibrium. Symmetrical games. Minimax Theorem. Game theory and linear programming. Paired games with a zero sum. Finding the optimal strategy. Mixed strategies. Restricted Games. Endless games. Multiphase games and dynamic programming. Paired games, non zero sum games. Non-cooperative and cooperative games. Games with final number of participants. Differential Games. The direct method. Brown iterative method. Geometric method. Game against nature. Modeling games in logistics. Repetitive games. Games with incomplete information. Solving simple matrix games. Solving Mixed Matrix Games. Solving 2x2 matrix games. Solving nx2 matrix games. Resolve 2xm matrix games. Solving Matrix Games by reducing the Game Price Matrix. Solving nxm matrix games using linear programming. Mixed logistics tasks. The theory of logistical games on a computer. Calculation and valorisation of Nash equilibriums. Fixed point theorem. Models of cognition. Fictional games. Market games with incomplete data. Lobbying Games. Asymptotic behaviors.
Lecture languages: hr
Compulsory literature:
1. Pašagić Škrinjar, J., Abramović, B.: Primjena teorije igara u prometu i logistici, Sveučilište u Zagrebu, Fakultet prometnih znanosti, Zagreb, 2017.
Recommended literature:
2. Morris, P.: Introduction to Game Theory, Springer-Verlag New York, LLC, 1994.
3. Martin J.J. Osborne: Introduction to Game Theory, Oxford University Press, 2003.
L - Lectures
E - Exercises
LE - Laboratory exercises
S - Seminar
FLE - Practical foreign language exercises
PEE - Physical education excercises
* - Not graded