Advanced Microeconomics Game Theory)
General data
Course ID: | 2400-ICU1AMI |
Erasmus code / ISCED: |
14.3
|
Course title: | Advanced Microeconomics Game Theory) |
Name in Polish: | Advanced Microeconomics (Game Theory) |
Organizational unit: | Faculty of Economic Sciences |
Course groups: |
English-language course offering of the Faculty of Economics Mandatory courses for 1st year students of International Economics |
ECTS credit allocation (and other scores): |
5.00
|
Language: | English |
Type of course: | obligatory courses |
Short description: |
Master's level course. The course introduces students to important topics in advanced microeconomics. The course has two concurrent parts: Game Theory and General Equilibrium. The former discussess game theory and its applications, while the latter introduces production and consumption theory concepts in order to provide a coherent picture for the general equilibrium framework. Completing the course requires passing the mid-term and final exam, respective to both parts of the course (4 exams in total). |
Full description: |
Game Theory 1. EXPECTED UTILITY THEORY: Preferences Over Lotteries, Independence, von Neumann-Morgenstern Utility, Expected Utility Theorem, Allais Paradox, Machina's Paradox. (MC, pp. 168-182) 2. MONETARY LOTTERIES AND RISK AVERSION: Risk Aversion Equivalence Theorems, Coefficient of Absolute Risk Aversion, Comparisons Across Individuals, Coefficient of Relative Risk Aversion. (MC, pp. 183-193) 3. RETURN-RISK COMPARISONS: 1st and 2nd Order Stochastic Dominance, Mean-Preserving Spreads. Exercises. (MC, pp. 193-199) 4. INTRODUCTION AND STRATEGIC FORM GAMES: TStrategic (Normal) Form Games, Dominant Strategy, Iterated Elimination of Dominated Strategies. (FT, pp. 1-22, 45-47; OR, pp. 1-15, 58-62) 5. STRATEGIC FORM GAMES: Existence of Nash Equilibrium. Correlated Equilibria. (FT, pp. 29-35, 53-59; OR, pp.19-20, 44-48) 6. STRATEGIC FORM GAMES: Applications: Co-ordination, Oligopoly, Auctions. 7. BAYESIAN GAMES Bayesian Nash Equilibrium, First-price Auction, Double Auction. (FT, pp. 207-215; OR, pp. 24-29) 8. MECHANISM DESIGN Static Mechanism Design Problems. Example: Principal-Agent, Revenue Equivalency Theorem, Inefficiency Theorem (FT, pp. 243-292; OR, pp. 177-191) 9. EXTENSIVE FORM GAMES: Constructing a Game Tree. Extensive vs. Normal Form. (FT, pp. 67-82, 85-87; OR, pp. 89-97) 10. EXTENSIVE FORM GAMES: Subgame Perfect Nash Equilibrium. Applications: Entry Deterrence, Pre-Commitment, Non-cooperative Bargaining. Centipede. (FT, pp. 92-10, 107-114; OR, pp. 97-131) 11. REPEATED GAMES: Finitely repeated games. Infinitely Repeated Games. Application: Tacit Collusion. Folk Theorems. (FT, pp. 145-168; OR, pp. 133-161) 12. REPEATED GAMES: Pareto Perfection, Renegotiation Proofness, Markov-perfection. (FT, pp.174-182, 501-513) 13. COOPERATIVE GAME THEORY AND GENERAL EQUILIBRIUM THEORY Core, Shapley Value and Other Solutions, Walrasian Equilibrium Allocation (OR, pp. 255-297, MC, pp. 652-659, 846-848; V, pp.387-392) 14. AXIOMATIC BARGAINING: Nash Solution, Kalai-Smorodinsky Solution, Egalitarian Solution (OR, pp. 299-310; MC, pp. 838-846) 15. EVOLUTIONARY GAME THEORY: Replicator Dynamics (FT, pp. 23-29; OR, pp. 48-51) General Equilibrium Theory 1-2. DUALITY APPROACH TO DEMAND PROPERTIES Money metric utility function, Roy's identity, Walrasian Demand, Welfare measures (MC, pp. 40-95; V, pp. 94-113) 2-3. NEO-WALRASIAN THEORY OF PRODUCTION Free disposability in production, Axioms of production, Efficient production 5. Midterm exam 6. 2x2 PURE EXCHANGE MODEL Nonwasteful Feasible Allocation, Endowment, Offer Curve, Pareto Set, Contract Curve (V, pp.313-316, 323-329; MC, pp. 515-525, 538-540) 7-8. 1x1x2x1 ROBINSON CRUSOE MODEL. 2X2X2X2 SMALL OPEN ECONOMY Excess Demand, Intermediate Goods, Production Possibility Set, Interior Equilibrium, Rybczynski Tehorem, Stolper-Samuelson Theorem, Factor Price Equalization Theorem (MC, pp. 525-538) 9-10.GENERAL MODEL Private Ownership Economy, Walrasian (quasi)equilibrium, (Quasi)equilibrium with transfers, Fundamental Theorems of Welfare Economics, Locally nonsatiation preferences, Walras' Law (V, pp.317-322, 329-332; MC, pp. 545-557, 578-583) COMPUTABLE GENERAL EQUILIBRIUM MODELING (classes in a computer lab.): 11 GAMS software, i/o table, simple exercises 12. A pure exchange model in GAMS 13. A 2x2x1 production model 14. Open economy model 15. Alternative production functions. Endogeneous labour supply |
Bibliography: |
• (MC) Mas-Colell, A., M. D. Whinston, J. R. Green, Microeconomic Theory, Oxford University Press, 1995 • (V) Varian, H. R., Microeconomic Analysis, W. W. Norton & Co., ed. 3′ • Varian, H. R., Intermediate Microeconomics, ed. 7 |
Learning outcomes: |
Knowledge and skills 1. Students know and understand the preference relations concept and the concept of utility maximization. Students understand the duality in consumer theory. 2. Students know and understand the producer behaviour. They are aware of the duality of producer problem 3. Students know and understand the methods of economic welfare evaluation. 4. Students are able to solve and analyze the following general equilibrium models: the pure exchange model, the Robinson Crusoe model, and the small open economy model. 5. Students understand the basic theorems of welfare economics. They are able to distinguish competitive equilibrium from the Pareto optimum allocation/social planner allocation. 6. Students know how to implement a simple GE model in GAMS software 7. Students know how to evaluate changes in economic environment with the use of simple GE model General skills 1. Students understand that microeconomics can be applied to real economic and social issues and that the analysis can be performed using economic models 2. Students can interpret reality based on simple GE models and they are able to combine the micro and macro view. 3. Students are able to undertake employment in entreprises or public organizations that deal with design and assessment of economic policy 4. Students are able to formulate and present their views based on their knowledge and engage in discussion concerning these views. 5. Students are able to fulfill their duties and plan the work schedule on their own. SW01, SW02, SW03, SW04, SU01, SU02, SU03, SU04, SU05, SU06, SU07, SK01, SK02, SK03 |
Assessment methods and assessment criteria: |
• Completing Advanced Microeconomics requires completing the two separate parts: o Game Theory –prof. Tomasz Żylicz o General Equilibrium Theory– dr Jan Hagemejer • In order to complete each of the parts students need to: o Collect at least 50% combined points from the two following components: midterm exam (weighted 50%); final exam (50%). • The final grade will be average of the grades from the two separate parts (rounded up), with the restriction of both of them being at least 3 (otherwise the final grade becomes 2). • All exams are to be taken by all students at the same time (only one date for everyone). • There will be only one possibility to retake any of the failed exams for all students at the same time. • Absence from any of the exams is equivalent to failing it. • There will be no other possibilities of completing the course. • ‘0 tolerance for cheating’. |
Classes in period "Winter semester 2023/24" (past)
Time span: | 2023-10-01 - 2024-01-28 |
Navigate to timetable
MO WYK
TU CW
W TH FR |
Type of class: |
Classes, 15 hours
Lecture, 30 hours
|
|
Coordinators: | Krzysztof Szczygielski | |
Group instructors: | Krzysztof Szczygielski | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Examination
Classes - Grading Lecture - Examination |
Classes in period "Winter semester 2024/25" (future)
Time span: | 2024-10-01 - 2025-01-26 |
Navigate to timetable
MO WYK
TU CW
W TH FR |
Type of class: |
Classes, 15 hours
Lecture, 30 hours
|
|
Coordinators: | Krzysztof Szczygielski | |
Group instructors: | Krzysztof Szczygielski | |
Students list: | (inaccessible to you) | |
Examination: |
Course -
Examination
Classes - Grading Lecture - Examination |
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