Home / Эхлэл

Research Interests:

• Economics (microeconomics, social & individual choice, mathematical economics, public economics),

• Mathematics (discrete and convex geometry, logic and computation, optimization), 

• Statistics and applied mathematics (forecasting, statistical learning, dynamical systems, computational social science).

Publications in economics (peer reviewed):

• Monotonicity and qualified majority rules, Economic Theory Bulletin (2019), 7:209-220.

• Impossibility theorems with countably many individuals, SERIEs-Journal of the Spanish Economic Association (2018), 9(3): 333-350.

• A missing proof of the Gibbard-Satterthwaite theorem, Hitotsubashi Journal of Economics (2018), 59(1): 1-8.

• Impossibility theorems are modified and unified, Social Choice and Welfare (2015), 45(4): 849-866.

• Approval voting without faithfulness, AUCO: The Czech Econ. Review (2013), 7(1): 15-20.

• Another direct proof for the Gibbard-Satterthwaite theorem, Economics Letters (2012), 116(3): 418-421.

• An axiomatization of the Leontief preferences, Finnish Economic Papers (2012), 25(1): 20-27.

• Remarks on Young’s theorem, Economics Bulletin (2012), 32 (1): 706-714.

• Symmetry vs. complexity in proving the Muller-Satterthwaite theorem, Economics Bulletin (2012), 32(2): 1434-1441.

Publications in mathematics (peer reviewed):

• The smallest convex K-gon containing N congruent disks, joint with E.Orgil-Erdene, Elemente der Mathematik (2022), 77(3): 122-137. /preprint/

• The four strongest at the National Museum of Mongolia, The Mathematical Intelligencer (2020), 42(2): 9-14.

• In the land of convex polygons, joint with D. Purevsuren and G. Bayarmagnai, Resonance: Journal of Science Education (2019), 24(5): 583-595. 

• Side disks of a spherical great polygon, joint with D. Purevsuren. Forum Geometricorum (2018), 18: 195-201.

• Another memorable Mongolian Olympiad problem, The American Mathematical Monthly (2016), 123(9): 894-899.

• On Malfatti's marble problem, Arnold Mathematical Journal (2016), 2: 309-327.

• Optimality of first-come-first-served: a unified approach, Mongolian Mathematical Journal (2011), 15: 45-53.

Other publications (in Mongolian, English & Turkish):

• Мэдээллийн онол ба түүний боломжит хэрэглээнүүд, Үндэсний Cтатистик Cэтгүүл, 2024(18): 77-89.

• Засаг ба шинжлэх ухаан, Төрийн удирдлага : Онол, арга зүйн сэтгүүл, 2024 (27).

• Найман төр ба гурван засаг, Парламентын Судалгаа Шинжилгээ, 2024, (8): 38-47.

• Татварын Судалгааны Орчин Үеийн Хандлага, Эдийн засаг: Онол, практик, (2022), 35: 96-111. (М. Сарангийн хамт, in Mongolian).

• Монгол тоглоом наадгайн математик шинжилгээ: Дөрвөн хүчтэн тоглоомын жишээн дээр, Музей Судлал (2020), Tomus XXI-I, 151-160. (Э.Оргил-Эрдэнийн хамт, in Mongolian)

• Шинжлэх ухааны судалгаа гэж юу вэ? Боловсрол Судлал (2019), 10: 23-32. (in Mongolian) 

• Олон улсын сэтгүүлд өгүүлэл хэвлүүлэхэд юуг анхаарах вэ? Боловсрол Судлал (2018), 9: 29-44. (in Mongolian) 

• МУИС-д тулгамдаж буй зарим асуудлууд, тэдгээрийг шийдэх арга замууд, Монголын Боловсрол-Инноваци (2018), 1: 19-25. (in Mongolian)

• Бид ямар үнэ цэн бүтээдэг вэ? Mongolian Economy (2017), 10 сар. (in Mongolian)

• The development of modern mathematics in Mongolia, Bernoulli News (2015), 22(2): 6-10. (in English)

• Mongolian translation of the booklet by V.I.Arnold (2004) "Problems for children from 5 to 15" published in Mongolian Math. Olympiad 51: 73-80 (in Mongolian). The second part is to appear in the next issue of the MMO volume.

• Монголоор oрчуулагдсан математикийн зарим номны тухай/On Some Math. Books Translated into Mongolian/ (2015), Olonlog Journal, (in Mongolian).

• Эрдэм шинжилгээний ажлыг хэрхэн бичих вэ?/How to Write a Scientific Research?/ (2014), Боловсрол Судлал (Educational Studies), 6: 29-33 (In Mongolian).

• Асуудал ба Шийдэл /Problems and Solutions/ (2012) Математикийн Хүрээлэнгийн Эрдэм шинжилгээний бүтээл, 2: 67-70 (In Mongolian). 

• Тендерийн онол буюу тендер зохиох ухаан, (2009) Mongolian Mining Journal. (in Mongolian)

• Küresel ve bölgesel pazarlarda rekabet stratejisi olarak firmaya özgü avantajların yaratılması, İGEME'den Bakış, Cilt: 3, Sayı: 28, 58-61, (2004). (In Turkish)

Talks given:

• Mikro İktisadın(Pek)Tartışılmayan Yüzü (SAÜ-MUFAM). Undisclosed aspects of Microeconomics, 2022 Spring. (in Turkish). 

• Sitting disks of a convex figure, presented at the 2017 Spring Meeting of The Mongolian Math. Soc.

• CCL: The three pillars of thinking, invited talk to TEDxNUM given in October 2016.

• Probabilistic aspects of voting, contributed talk at the CIMPA research school on "Stochastic Analysis and Applications," July-August, 2015. Ulaanbaatar, Mongolia.

• Математикжсан эдийн засгийн удиртгал/Intro. to Math. Econ./ presented at seminar of the Mongolian Economic Association, Spring 2015 (in Mongolian).

• Шинжлэх ухааны судалгаа гэж юу вэ?/What is a scientific research?/ presented at seminar of the graduate school of the NUM, Fall 2014 (in Mongolian).

• Сонирхолтой эдийн засаг/Economics Recreations/ public lecture given at the annual students' meeting on "Economics and Mathematics" at the NUM, Spring 2013 (in Mongolian).

• Тодорхой эрэлттэй орчин дахь нөөцийн удирдлага/Inventory Control with Certain Demand/ short lecture at the Mongolian Logistics Association's education program, Spring 2013 (in Mongolian).

• Эрсдэлт шийдвэрийн онол/Theories of Decision Making Under Risk/ invited lecture at the second national conference on Risk Management organized by the Fiscal Regulation Authority of Mongolia, January 2013 (in Mongolian).

• Олны Сонголтын Онолын Зарим Асуудлууд/Some Problems in Social Choice Theory/ talk given at the Math. Institute's seminar, September 2010 (in Mongolian). 

Unpublished Manuscripts:

• Uluslararası Sermeye Hareketliliğinin Derecesi ve Feldstein-Horioka Bilmecesi, Ankara Üni. Sosyal Bilimler Enstitüsü İktisat YLP Seminer Çalışması. 2006. [in Turkish]

More writings & Interviews & Translations:

• Эрдэмтэн яах гэж судалгаа хийдэг вэ? /Translation of A. M. Celâl Sengör's article/ GoGo.mn, 2022.

• Франклин Д. Холзман ба БНМАУ-ын татварын систем, /Franklyn D. Holzman and taxation in the Mongolian People's Republic/ GoGo.mn, 2021. 

• Монголын Эзэнт Гүрний Татварын Систем: Гурван Бүтээлийн Тойм, /A review of the academic research on taxation in the Mongolian Empire/ GoGo.mn, 2021.

• Фримен Дайсон: Шинжлэх ухааны хоёр соёл, /Partial translation of Freeman Dyson's "Birds and Frogs"/, GoGo.mn, 2021.

• Монгол кино баяр хүргэе! /Congratulations to Mongolian Movies/, GoGo.mn, 2020

• Монгол судлал руу өнгийвөл: Гурван бүтээлийн тойм, GoGo.mn, 2020.

• Оксфорд ИС-ийн Проф. Жон Боллын ярилцлага /interview with Sir. John Ball from Oxford University/, ikon.mn, 2019.

• Шинжлэх ухааны судалгаа гэж юу вэ? /What is a scientific research?/, guest speaker at MGLRadio program. 2018.

• "Тоглоом ба Дүрэм-2" (2014).

• "Эдийн Засаг ба Эрх Чөлөө" (2009)

• "Алдаатай Эдийн Засаг: Эдийн Засгийн Амьдралыг Мэргэжлийн Нүдээр Харвал" (2013)

• "Сонирхолтой Эдийн Засаг: Таны Эдийн Засгийн Боловсролд" (2013)

• "Тоглоом ба Дүрэм" (2011). 

• "Дайн ба Францийн математикчид: Бурбакигийн бүлэг" (2010) & MGL Radio prodcast 2019.

• "Энэтхэгчүүд ба Статистик" (2009)

• "İktisat Öğrencilerine Tavsiyeler – 2" veya “Biraz Daha Matematik Yapalım” (2007)

• My Youtube channel with video lectures on Math & Econ.