Game Theory and Its Applications
Панкратова Ярославна Борисовна
- The goals of mastering the discipline "Game Theory" are to familiarize student managers with the basic concepts of the theory of non-cooperative games, with a focus on the Nash equilibrium apparatus, the formation of theoretical analysis skills by solving problems and analyzing real or stylized situations.
- Is able to classify different types of games, to find a solution of a game
- Can find Pareto optimum and Nash Equilibrium in pure and in mixed strategies
- Can sind a solution in dynamic games with perfect and imperfect information
- Is able to find a solution of finitely or infinitely repeated game
- Can define a coalition value function, Shapely value and find a core
- Can use Gale-Shapely algorithm, know Impossibility Theorem and Condorset paradox
- Knows the basics of mechanism design
- Basic concepts of game theory. Classification and description of gamesDefinition of a game Types of games Solution of a game
- Static noncooperative gamesFinite games in normal form. Pareto optimality. Strategy. Best Response. Nash Equilibrium in pure strategies Zero-sum games. Saddle point. Value of a game. Infinite extension of finite game. Nash Equilibrium in mixed strategies.
- Dynamic games with perfect and imperfect informationFinite game in extensive form. Subgame. Subgame perfect Nash equilibrium. Information sets. Games with imperfect information.
- Repeated gamesGames repeated finitely. Games repeated infinitely. Discounting. The Folk Theorem
- Cooperative gamesCooperative game. Coalition. Coalition value function Symmetric players. Dummy players. Summation and splitting of games. Shapely value. Core Majority games. Veto players. Null players. Shapely-Shubik index
- Matching, Social rules, Voting rulesMatching. Stable matching system. Gale-Shapely algorithm Social rules. Condorset paradox. Imposibility Theorem. Voting rules.
- Bankruptcy problem, AuctionsAuctions. Mechanism design. Bankruptcy problem.
- Interim assessment (2 module)0.06 * Activity + 0.4 * Exam + 0.12 * Quiz 1 + 0.12 * Quiz 2 + 0.15 * Test 1 + 0.15 * Test 2
- Game Theory: A Multi-Leveled Approach. (2008). Springer Verlag. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsnar&AN=edsnar.oai.cris.maastrichtuniversity.nl.publications.f0459d98.4840.4780.9538.9cb97d614697
- Gura, E.-Y., & Maschler, M. (2008). Insights Into Game Theory : An Alternative Mathematical Experience. Cambridge, UK: Cambridge University Press. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=259184
- Mazalov, V. V. (2014). Mathematical Game Theory and Applications. Chichester, West Sussex: Wiley. Retrieved from http://search.ebscohost.com/login.aspx?direct=true&site=eds-live&db=edsebk&AN=817776