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ECON 564 Topics in Macroeconomic Theory II

This is the second half of the PhD macro theory sequence, where the focus shifts from setting up dynamic optimization problems to actually solving them as economic systems evolving over time, recursive methods, optimal control, differential games between strategic agents, and the lattice-theoretic tools (supermodularity, complementarity) that let you sign comparative statics without closed-form solutions. You'll work through Stokey-Lucas and Basar-Olsder style problem sets, write a paper applying one of these methods to a research question, and sit a written final. Coming out of ECON 563, this is where the mathematical machinery becomes something you can point at a real macro or international-finance question and turn the crank on, which is why it sits right before students start drafting dissertation chapters.

Kredi 3 ECTS 5 Fakülte İktisadi, İdari ve Sosyal Bilimler Fakültesi Bölüm Ekonomi Ön koşul ECON 563 Koordinatör Hüseyin Çağrı Sağlam

→ STARS müfredatı (resmi syllabus)

ECON 564 zor mu?

Son 6 dönemde dersin ortalaması 3,69 (48 öğrencinin notu, 4,00 üzerinden), yani sınıf ortalaması A- civarında. Zorluk hocaya ve şubeye göre değişir; ölçülebilir olan bu sayı. Diğer derslerle karşılaştır →

ECON 564 dersinin ön koşulu var mı?

Evet. Bilkent kataloğuna göre ön koşulu: ECON 563.

ECON 564 dersinde hangi kitap okunuyor?

İzlencede zorunlu kitap: Differential Games in Economics and Management Science, Dockner, E. J., Van Long, N., Sorger, G. and S. Jørgensen, 2000, Cambridge University Press. İzlence toplam 7 kaynak sayıyor.

ECON 564 kaç kredi?

3 Bilkent kredisi, 5 AKTS.

Haftalık müfredat 14 hafta

Hafta 114–20 Eyl

Giriş: control theory ve differential games

Introduction and course description This course will cover selected topics at the frontier of research focusing on control theory, differential games, and complementarity and supermodularity in economic theory. The prerequisites are the macro courses as well as some familiarity with continuous-time and discrete-time dynamic optimization. Because of this, the students are encouraged to look at these references: Stokey, N. and R. E. Lucas, Jr. (1989), ”Recursive methods in Economic Dynamics”, Harvard University Press. Beavis B. and I. Dobbs (1990), ”Optimization and Stability Theory for Economic Analysis”, Cambridge University Press. Gandolfo, G. (1995), ”Economic Dynamics”, 3rd. ed., Springer-Verlag, Berlin.

control theorydifferential gamescomplementaritysupermodularity

Hafta 221–27 Eyl

Kontrol teorisi ve dinamik oyunlara giriş

Part I - Control Theory and Dynamic Games The main references for the first part of the course are: Dockner, E. J., Van Long, N., Sorger, G. and S. Jørgensen (2000), ”Differential Games in Economics and Management Science”, Cambridge University Press. Basar, T. and G.J. Olsder (1999), ”Dynamic Noncooperative Game Theory”, SIAM, Academic Press, 2nd edition. [1]. Introduction: Basic concepts of game theory (a) Axioms of game theory (b) Game theoretic models (c) Dynamic games

control theorydynamic gamesgame theoretic modelsBasar & Olsder

Hafta 328 Eyl – 4 Eki

Kontrol kuramı yöntemleri ve optimal kontrol

[2]. Control theoretic methods (a) The Hamilton-Jacobi-Bellman equation (b) Pontryagin’s maximum principle (c) Information, commitment, and strategies (d) Infinite time horizon (e) Conditions for non-smooth problems

Hamilton-Jacobi-Bellman equationPontryagin's maximum principleinfinite time horizonnon-smooth problems

Hafta 45–11 Eki

Eşzamanlı oyunda Markovian equilibria

[3]. Markovian equilibria with simultaneous play (a) The Nash equilibrium (b) Equilibrium conditions (c) Time consistency and subgame perfectness

Nash equilibriumequilibrium conditionstime consistencysubgame perfectness

Hafta 512–18 Eki

Hiyerarşik oyunlar: Cournot ve Stackelberg

[4]. Differential games with hierarchical play (a) Cournot and Stackelberg equilibria in one-shot games (i) The one-shot Cournot duopoly game (ii) The one-shot Stackelberg duopoly game (iii) Introduction to time inconsistency of Stackelberg equilibria (b) Open-loop Stackelberg equilibria (c) Non-degenerateMarkovian Stackelberg equilibria

Cournot duopolyStackelberg duopolytime inconsistencyopen-loop Stackelberg equilibria

Hafta 619–25 Eki

Özel yapılı differential games

[5]. Differential games with special structures (a) Linear quadratic games (b) Linear state games (c) Exponential games

linear quadratic gameslinear state gamesexponential games

Hafta 726 Eki – 1 Kas

Stochastic differential games ve white noise

[6]. Stochastic differential games (a) Piecewise deterministic games (i) A piecewise deterministic control model (ii) Stationary Markovian Nash equilibria (iii) Piecewise open-loopNash equilibria (b) Differential games with white noise (i) A control problem with white noise (ii) Markovian Nash equilibria

piecewise deterministic gamesstationary Markovian Nash equilibriapiecewise open-loop Nash equilibriawhite noise

Hafta 82–8 Kas

Capital accumulation games ve denge stratejileri

[7]. Capital accumulation games (a) The structure of capital accumulation games (b) Qualitative properties of equilibrium strategies (c) Stability properties of equilibria (d) Games without adjustment costs (e) Knowledge as a public good

equilibrium strategiesstability of equilibriaadjustment costsknowledge as a public good

Hafta 99–15 Kas

Kaynak ve çevre ekonomisinde differential games

[8]. Differential games in resources and environmental economics (a) Non-renewable resources (i) The cooperative case (ii) The non-cooperative case (b) Non-renewable resources: some variations (i) The doomsday problem (ii) Stock-dependent utility (c) Renewable resources (i) A fishery model (ii) A fishery model with capacity constraints

non-renewable resourcesdoomsday problemstock-dependent utilityfishery model

Hafta 1016–22 Kas

Genel tekrar: Birinci bölüm

Recap: Part I

recap

Hafta 1123–29 Kas

Complementarity ve supermodularity teorisi

Part II - Complementarity and Supermodularity in Economic Theory The main references for the second part of the course are: Cooper W. R. (1999), ”Coordination Games”, Cambridge University Press Topkis (1998), ”Supermodularity and Complementarity”, Princeton University Press [1]. Pareto-Edgeworth Complementarity (a) Individual decision problems (b) Cardinal complementarity (c) The need of ordinal complementarity

Pareto-Edgeworth complementaritycardinal complementarityordinal complementarityTopkis

Hafta 1230 Kas – 6 Ara

Optimal çözümlerin duyarlılığı ve monotone comparative statics

[2]. Sensitivity solutions of optimal solutions (a) Monotone comparative statics on the real line (b) Monotone comparative statics on the plane (c) Complementarity on posets which are not the product of chains (d) Monotone comparative statics on lattices

monotone comparative staticscomplementarityposetslattices

Hafta 137–13 Ara

Supermodular ve quasisupermodular oyunlar

[3]. Supermodular and Quasisupermodular Games (a) The best reply of a quasisupermodular game (b) Tarski-Zhou fixed point theorem (c) The structure of the Nash set (d) Extensions and applications

best replyTarski-Zhou fixed point theoremNash setquasisupermodular games

Hafta 1414–20 Ara

Genel tekrar: İkinci bölüm

Recap: Part II

recap

Değerlendirme 100% · 3 adım

40%

10%

50%

Papers(s)/Reports Research Proposal 40%

Homework Assignments, quizzes and presentations 10%

Final: Essay/written Final examination 50%

en büyük tek kalem %50 · sınav ağırlığı %50 · 6 dönem ortalaması 3.69 (48 öğrenci) nasıl hesaplanıyor

Notunu hesapla

Kalem	Ağırlık	Notun (100 üzerinden)
Research Proposal	%40
Assignments, quizzes and presentations	%10
Final examination	%50

Hedef toplam puanın

Bildiğin notları gir; girmediklerin hesaba katılmaz.

Ağırlıklar ECON 564 izlencesinden. Hocanın bu dönemki dağılımı farklı olabilir; bağlayıcı olan ders izlencesidir. Harf notu sınırlarını hoca belirliyor, o yüzden hedefi sen giriyorsun. İzlencede FZ şartı var, sayfanın sonundaki kutuda.

Önerilen kaynaklar 7 kitap

📖

Önerilen

Recursive methods in Economic Dynamics, Stokey, N. and R. E. Lucas, Jr., 1989, Harvard University Press

📖

Önerilen

Optimization and Stability Theory for Economic Analysis, Beavis B. and I. Dobbs, 1990, Cambridge University Press

📖

Önerilen

Economic Dynamics, Gandolfo, G., 1995, Springer-Verlag, Berlin

📕

Zorunlu

Differential Games in Economics and Management Science, Dockner, E. J., Van Long, N., Sorger, G. and S. Jørgensen, 2000, Cambridge University Press

📕

Zorunlu

Dynamic Noncooperative Game Theory, Basar, T. and G.J. Olsder, 1999, SIAM, Academic Press, 2nd edition

📕

Zorunlu

Coordination Games, Cooper W. R., 1999, Cambridge University Press

📕

Zorunlu

Supermodularity and Complementarity, Topkis, 1998, Princeton University Press

Bu dersi alınca · 3 öğrenme çıktısı

Having a thorough understanding of fundamental and cutting edge methods in open economy macroeconomics.Research Proposal, Assignments, quizzes and presentations, Final examination
Having a thorough understanding of the current state of the literature in open economy macroeconomics.Research Proposal, Assignments, quizzes and presentations, Final examination
Having thorough understanding of current developments in the macroeconomy, especially in international finance.Research Proposal, Assignments, quizzes and presentations, Final examination

Bilkent'in resmî syllabus'ünden. Sağdaki etiket o çıktının hangi değerlendirmeyle ölçüldüğünü söylüyor.

Ders notları · henüz yok

ECON 564 için defter ekibi henüz not yazmadı.

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Geçmiş GPA dağılımı 6 dönem · ort. 3.69

Dönem	Ders ort.
2025-2026 Spring	3.48	1 şube · 12 öğr
2024-2025 Spring	3.83	1 şube · 11 öğr
2018-2019 Spring	3.82	1 şube · 5 öğr
2014-2015 Spring	3.62	1 şube · 5 öğr
2013-2014 Spring	3.53	1 şube · 9 öğr
2007-2008 Spring	3.85	1 şube · 6 öğr

Dersin dönem ortalaması, o dönemin bütün şubeleri birlikte. Kaynak STARS'ın ders değerlendirme raporu. Rapor yalnız kampüs ağından ya da Bilkent VPN ile açılıyor: ECON 564 raporu · Bilkent VPN bilgisi. Öğrenci anket cevaplarını defter'de tutmuyoruz. Tüm derslerin ortalamaları →

2026-2027 Güz döneminde açılmadı. Ders kaydı geçti, kayıt sisteminde bu dersin şubesi yok. Katalogda duruyor, yani başka bir dönem açılabilir. Güz döneminde hiç açılmamış, kayıtta yalnızca bahar dönemi görünüyor. Açık dersler → · kayıt tarihleri

⚠️ FZ engelleyen şartlar

FZ Grade: To be admitted to the final exam, a student must present the research proposal. Students not satisfying this criteria will not be admitted to the final exam and receive an FZ grade from the course. | FX Grade: Only the students who do not take the final exam will be given FX grades.

Hocalar 0 bu dönem · 7 geçmiş

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