Economic Thought (IDEAS) and mathematical skills to continue the great debate.
Heng fu by: CEMA just asked two great economic rookie: Segal and Sannikov.Segal have fame; Sannikov his mentor than as Robert Wilson second Susan Athey. we have come to the best lectures. can not come, and how many look at their papers: the absolute forefront of economic theory. I personally think they are both two of economic thought, there are great math skills. < br> China is now engaged in modern economics, who can not engage in corporate governance is in full swing, the core competitiveness, market and planning, entrepreneurship, business management ...... It is good. welcome to come here gloating.
2007-09-01 | Zou Hengfu answer DAVO: economics ideas (IDEAS) and the mathematical model
[Heng Fu note: we to learn from each other as equals and discuss.]
Stanford and Berkeley sannikov to segal to CEMA to give lectures. CEMA's the lineup so powerful instructor.
Davo's suggestion is good, teaching reform should be gradual, but it seems sannikov to talk about game theory is a basic course, not a continuous time, with his background, about basic course should be very good. I think Davo the following two points worthy of scrutiny.
(1) class at Stanford segal heard no one can understand (I can hardly believe this is true). Some people did not understand it is Really, if every student understood that what Stanford has to use his lectures, which students will have to listen to his lectures? is because it is difficult to understand all that comes to the class. If the students at Stanford segal He did not understand the lesson, I had the honor to listen to his class for the Chinese students are happy, some of you may be a few who can understand his course, he should find you a student. Peking University Tsinghua University students should go to listen to, if you understand it, you Bies Stanford students strong, you can write in the application form to apply for U.S. universities that you understand his lessons. (2) added sannikov do are mathematical things. as if the person no idea. You should see Fudenberg and Levin recently published an article on continuous-time game. to see how they evaluate sannikov articles. to see how academic Daniel, along with recent graduates the idea of writing a doctoral thesis. estimated Fudenberg and Levin will not play with math and you'll follow you. go see how many people make reference to macroeconomic and financial micro sannikov do doctoral thesis. Sannikov there to do a paper continuous-time principal-agent model. Many people have done or whatever. Why do so many people think he's a good article? his boss, Dr. recommend to others that the article did he ever seen as the principal-agent model is one of the best. listened to some students on the Prescott did not read the article and the lucas and said: , Actually, it is easy to understand. If you are good at that idea (the idea of economic Ye Hao, Ye Hao physical idea that, whether you learn), you must be very smart, you have the ability to learn math (you may not learn much mathematics), or good at maths, probably that you're smart, nothing more. Yes, a few decades ago the economic dynamic programming is not a required course, from Ramsey has been to Prescott and lucas, to now become the basic economic tool. is very simple, these mathematical deepens our understanding and shapes our thinking.
publisher yogajudo (
2007-09-01 12:55
order to send a good journal article, no idea is not work. But the key is idea too much, we all think that their idea better. AER? JPE year, so many articles, several idea will be remembered. then do not post complete information, not all use stiglitz, spence these people's idea? Besides, people like them mathematics was amazing. You did not get to see stiglitz started life as intertwined, when not writing highly technical articles. Zouheng Fu mentioned sandy grossman, he really is a REE the idea, but who can have such a idea? Grossman is also waiting to get the Nobel Prize. take a look at kreps, who knew his idea? his article that he was mathematical. But, after all, the theory is to do kreps people. clark will get this year's susan athey, what his doctoral thesis idea? very mathematical thing. But a closer look will find a lot of deep ideas. No wonder the abreu stone stone block in Princeton athey year when looking for work After that her work is to get Clark Award (which can be found on the Internet). It is said that everyone has the same rating on sannikov, (but can not find online.)
publisher yogajudo (
2007-09-01 13:28
----- four years he graduated from Stanford, made a dynamic contract mainly important mathematical results, it simply is to make something original to rely on simulation to obtain closed- form solution ,-----< br> Sannikov dissertation to do is two-player continuous-time games. This is used in dynamic contract, cooperate finance went inside ...
publisher yogajudo (
2007-09-01 13:32
very pleased to participate in the discussion old Zou, some views and I quite agree. but a few points.
First: Sometimes the old man asking for too much of Zou , Take the idea, I think a good magazine published an article in at least 20% had idea on the inside, you can not only is the level required to achieve nobel idea, some idea that so many remember, this is sophistry , the only people who do know the area, seriously enough. This is not the rounder of the age. Another example is specific to the Sanford Grossman, he may not get nobel by REE, is likely to come and collect the name of the incomplete contract, This idea has two important, he said, is modest and a half.
second: to do research is in two phases, the first stage is learning, a stage is innovation, the first stage to find clear lectures, the students easy to understand, absolutely better than to find a big name in the lecture but not the (too many, including many nobel laureates). cattle in the second phase of the pointing to the students to be critical. frank Dr. I read a grade, there are two levels of people nobel teach us, as soon a PhD graduate of our levels, a regard us as people who only know the abc of economics, the results for several years down the students accepted this arrangement is the most wasteful. then let them talk about the future, obviously feel that students can access research and innovation at this stage as soon as possible, because the first to understand, ah. In a sense, gifted teachers and gifted teachers to match the only effect otherwise it is wasted time for both parties.
Third, to say the experience is very personal, why do the Chinese way of education is much less than the talent to the West, I feel deep education that is set too fond of some of the students genius, the authority. This can indeed attract a lot of people do research, but also let some qualification joined by flat, but because of the natural competitiveness, making the old Zou's a lot of students to cast the line, others may think that is paid to attract, I think the other they switch is a pain thing. West too the contrary, from undergraduate beginning thoroughly the sheep, although students were free of their model, However, very little class the teacher taught to the students and the like so and so is a genius, American education really is all are good kind of students, exams tube was loose, the old system of Zou's IAS scores I was very clear, so that everyone seems good. the United States does, a 100-person class, good to good to be scary, to it one or two, the rest are usually very general. But scholarship, so one or two people is enough. Chinese system, is often the best grades that most unsuccessful (too many literary expression of the a) without him, and positioning error Seoul!
Posted by Davo (
2007-09-02 10:46
Fourth, and finally talk about tips and idea, as I know, the old guidelines for the early Zou technique is to not idea, but the technique is a double-edged sword, ah, now the economics are not 70 years, and at that time made the paper in the JET hair than it is now difficult to read on the JET much more difficult! that time was like that Stiglitz also have made it skill-based things, but now is not so, ah!!! the present article for the idea (again, that kind of level is not nobel) more seriously, the article can be a very simple mathematics. So now the article pure analytical, multi-type and skill type is the idea of combining the theory of quantitative analysis has also largely depend on two to complete. I am a teacher in class when he said that if you'll find something too difficult mathematical model , went to see who so and so's articles, almost no math their article, but great influence! This attitude is very important teachers, ah, I am also a teacher, even stigilitz are looked down upon, engage the macro evaluation of the None of macroeconomists are theorists , is very demanding for students, teachers often see trepidation ah. old Chow is to instill their own high standards for students, and how can there be so many days ah.
saying so much, I mean very clear, I strongly support you more please some people to the lectures, but still have to follow some basic teaching principles, the easier issues first, balanced development, must not engage in the Great Leap Forward ah. the United States only a few private schools may be some genius from course to come out to burn the midnight oil, most of them are general undergraduate textbooks, casually looking for several people, professors or students, on the big pot, sheep classes, but that is a good talent coming out naturally. In fact, not to mention the undergraduate education, even to the PhD, is the leading American universities, like sheep! your cows to their study, the external pressure, the earnest hope that the role of small classes.
most important is to develop interest in research on the idea of love the importance of skills to a certain extent, if reversed, not feel tired of the beauty of research, and investment banks goodies on that return is too rich, but neither this idea, do not need any skills.
of cattle, cattle to the lectures so that we could not understand I have to tell you the story of three people, all of a nobel Daniel
level, when only one person to understand the class lectures, although that class was a lot of cattle out of people!
the people understand, it is estimated that next year not this year be able to get the Nobel, but his lecture, the same few people know! Now he talks on the outside, not the professor of his field, or of his area, but did not do professor, could hardly understand. Every time he speaks something great reputation for a bunch of people to listen, and then down and said they do not know what he was talking about!
another and the second to cooperate, although he was known more, but he said the slower steps of thinking than the others, only to hit along the way!
sport of the future so if segal nobel, that people do not understand his lecture is not surprising, Of course, this is just what I hear.
why the third person more famous, because he lectures very clear, very much in love to write textbooks, ha ha!
a few more mouth to talk about teaching some of the feelings. that in the end is the first tackling the difficult or the easy things first. I have some views
following the first, first to lay the foundation course, not the Great Leap Forward, four years of college teaching step by step by the United States read down some more math class, do not use any materials PhD.
second, to the first two years of study, Dr. stage, try to use the hardest materials! bitter suffering on the two years.
third, to four, Dr. Grade innovation stage (of course this time the students have read many papers), reading the article first read the classic, the second is good or can not do anything the easy first! read again to understand the difficult easy.
you may think I am here to second and third appear to be contradictory, actually not, if the school stages of learning too simple, go get difficult very difficult. actually stages of learning to learn is the most classic thing in itself more difficult . But the research phase, because their own to explore, suddenly engage in difficult, it will make people feel very frustrated, and very easy to lose sense of direction. the so-called difficult thing, often to a lot of math skills, if one came to see these easy to invest more time to mathematics, and lose the opportunity to receive more ideas. So the math is double-edged sword, very few American professors emphasize math skills in class, although I may use them much, but it can to use the time to studying, should be a good experience. In short personal experience that a number of different fields to understand the development context, to learn some economics idea, to think more about themselves, identify the direction. Mathematics for later learning. Lucas mathematics of these people are meeting up after the Ph.D., but he trained under the previous history of knowledge, a profound grasp the idea of economics, but rather a lot of people do not have.
Posted by Davo (
2007 - 09-02 11:14
[Heng Fu by: I'm sorry, DAVO. I put your words are filled. I was just listening to IDEAS for too many years too many times. I can not stand. You absolutely have the absolute right to rebut me. Otherwise, this world and my blog will be totally meaningless. I was sincere.]
I still have a period of the last words, estimated Zou reluctant to evaluate the old, but the fact that, ah, some things I may not know you.
old Zou most despised a few years ago out of several schools to do economic, financial, training of students than his own is much easier. [Heng Fu note: This I very much agree, and say a million times: for example we have of the older generation Wu Yang Ru (Zhanjiang Fisheries College )...... you more fierce attacks in this area, the greater you help me, because I really want to come up with a few who do not articles, and so I killed the students. Thank you.]
I just want to express a very simple view that the old Zou back some of your overrated, at least higher than in the United States, of course, most people evaluation or objective.
The lecture results, many students said the old Zou, and I do not have to repeat it. of course, out of 100 people within one or two might even be a success.
idea but do not look down the old cow Zou people, Sannikov the latest in a paper, I have to explain a new idea. then will the time you may be able to see it. [Heng Fu note: This is great. I have every hope of good journals Chinese people the better! you must bring your paper gave me appreciate, and I pass it on to MASKIN, MILGROM, SEGAL ...... and I do not live up to expectations of students. you have to help me knock on my students.]
short against old Zou (Heng Fu by: a rights counter and opened a liar) Weiying, I absolutely support, are willing to contribute to help, but you deserve some areas for improvement, including teaching, I and other colleagues or the views of the same. (Heng Fu's note: Over the years, I most want students thinking. I am now, but definitely disappointed. I'm sorry. I'm so ashamed. They also went to the investment bank, which is equal to kill me.)
released by Davo (
2007-09-01 02:44
Zou teacher, you have a habit to change that, asked people to go to China to give lectures or to choose a good look, be realistic as well.
Segal to Stanford's doctoral lectures, said no one can understand, to the effect of the Chinese talk about how?
[Heng Fu by: I classes at Harvard are flying, do not understand Mas-Colell, Kreps, Summers, Dorfman , Green, Maskin ... I only know Andrew Abel's class. I later learned that this is the Harvard style. all of a sudden we understood, there is no sense of taste and learning. Xu Chenggang feel the same way. You can ask him If he touched the money in the words of Tsinghua University.]
Sannikov is a Princeton undergraduate mathematics graduate, he graduated from Stanford four years, mainly to make a dynamic contract in the important mathematical results, simply rely on is making the original Simulation of things to get closed-form solution, he really is cattle, but mainly in mathematics.
[Heng Fu by: Sannikov so young they make such a big achievement, I want him to CEMA to China The studious student set a role model!]
because of this breakthrough, many people find very powerful idea he was dealing with mathematical problems in the article, you are a bit exaggerated his evaluation.
[Heng Fu by: again the Wangyi Jiang, Li Daokui, Bai Yan and other school brother's ideas saying: you can not first at Harvard, MIT, Stanford ...... put forward a TENURE say IDEAS. Chinese people learn where a few of the economic IDEAS of what? and six other Kazakh I dare not say that there is a ghost IDEA what the. Sanford Grossman great enough of it. He said: a person up to a half IDEAS. you want to cheat me. Marx, Lao Tzu, Han Fei Zi They all have IDEAS, IDEAS their math you, high deepening mystery, right? I beg you despair.]
Posted by Davo (
2007-08-31 12:38
Oh, Harvard Seven Gentlemen Zouheng Fu, Yingyi Qian, Xu Chenggang, Wang Yijiang, Li Daokui, Fred Hu, Bai Yan.
Posted by C'est La Vie (
2007-09-01 02:13 < br> [Heng Fu by: Tres bien, merci]
recommend several excellent mathematics teaching materials now, and basically have a Chinese version of the
1, mm Calculus Tutorial Computer Algebra I. Anshel D. Goldfeld
This is the basic course at Columbia University reform math textbooks, written well, it took calculus from the start with the mathematical thinking and mathematical computer software to combine a very good basis for teaching entry-calculus, if you have your own computer, learn the commonly used Mathematica or Matlab mathematical software, then it can be very good self-study of this material. the characteristics of this material is very good with the computer experiments to express mathematical ideas of calculus. And It's good is that, not only introduced the thinking of the classical calculus, but also help the reader to the modern multi-dimensional space, the introduction of algebraic geometry ideas, easy to understand, very good introductory textbook mathematics. If you want to learn mathematics is, from the beginning.
2, Principles of Mathematical Analysis Walter Rudin
areas of basic courses in mathematics, Rudin's textbook has been much well-known American universities such as the MIT, Yale, etc. are respected, very well written, he is out of the field Therefore, analysis of routes where you can find him writing materials to see, clear, plain language, well described the essence of mathematical thinking; and the number of points of this material has been introduced simple ideas and basic knowledge of the topology, and for future learning deeper mathematical laid a good foundation.
3, advanced calculus Lynn H. Loomis / Shlomo Sternberg
This is Harvard's math teaching materials for undergraduate and graduate students with lower grades, this basic textbook field represents the current calculus of the most advanced thinking, it is almost modern mathematical thinking to completely rewrite the entire classical calculus, you must have very good mathematical foundation, to make sense of this textbook. I just This open learning materials, I never really felt too high school mathematics, never learned calculus, huh. This translation of the Chinese version of the textbook is the work of Wang in person by the Chinese Academy of Sciences to do, which is also the Harvard textbook Professor, Fields Prize winner *** full recommended mathematics Textbook;
Posted by C'est La Vie (
2007-09-01 02:14
4, Real Analysis and Complex Analysis Walter Rudin
5, Functional Analysis Walter Rudin
these two did not say, Rudin materials must top, Oh
6, analytics Elliott H. Lieb / Michael Loss
This is a very good The real analysis textbooks, teaching at Princeton, what can be talked about;
7, Linear Algebra and Its Applications David C. Lay
This is a very good linear algebra primer, National Science Foundation also supported the reform of teaching a linear algebra textbook, but also the full introduction of the concept of modern mathematics, mathematics with computer software to teach linear algebra, with a CD-ROM, which has compiled a large number of good Matlab, Mathematica program to help the reader to learn;
8, Advanced Algebra Qiuwei North Sound
This is more classic algebra textbooks, the content is characterized by a more comprehensive, although there is no innovation teaching material prepared by itself, application of mathematical thinking is also very common (national mathematics materials generally the case), but overall the content comparison ** comprehensive, very few mistakes, but also considered several domestic rare comparison of the classical mathematics. The level of the contents of the translation of foreign materials is small, and that was the Soviet Union more sets, so it is also quite good with the use.
9, Probability Essentials Sheldon M. Ross
This is the good introductory textbook of probability theory, probability theory is very weak country, there is little good materials, so it is still good with foreign materials. Ross is the probability of route, Daniel, he has written many aspects of teaching probability and statistics, are popular, including financial mathematics, stochastic simulation
10, probability theory and its application William Feller
• line of world-class probability authority, this book is a very good probability comprehensive teaching materials, a certain degree of difficulty, for in-depth study of economics as friends, game theory is the basis of good teaching;
11, based on partial differential equations David Bleecker / George Csordas
tutorial since it is based, of course, the starting point is not too high, and some calculus and advanced algebra can be used based on this, and This content is quite rich.
12, topology, James R. Munkres
MIT's teaching materials, easy to understand, more classic introductory topology based materials. He also has a difficult deep, and lacks basic or slowly. topology is very important, particularly in the field of advanced micro-, topology applications abound.
Posted by C'est La Vie (
2007 - 09-01 02:14
basic subjects of economics entry phase of the classic textbook
:
Chinese name: br> Foundation Stage:
> Hayashi)
English name: Econometrics
by Fumio Hayashi
Description: This is the best in Europe and America the most popular theory of econometrics textbooks, logic is rigorous, proof is very tight, very well done.
2 ,
Chinese name: Applied Econometrics encyclopedia.
3,
Chinese name: > by Wooldridge
Introduction: This is a more advanced econometric textbooks, there is considerable difficulty, it normally takes two ago, after learning the foundation to learn this for.
4,
Chinese name : : is co-authored by three Harvard professors, and is the most authoritative and most classic textbook microeconomics top.
publisher C'est La Vie (
2007-09-01 02:18
6,
Chinese name: written, this material is characteristic of most materials that are part of the high macro relatively simple and the content is more comprehensive, easy to use.
7,
Chinese name: English name: Recursive Macroeconomic Theory
by Lars Ljungqvist Thomas I. Sargent
Description: ** about a comparison to dynamic macroeconomics textbook, can be a foundation for the later one.
8,
Chinese name: book is the authority in dynamic macroeconomics textbook, was selected as the senior European and American top universities in general macro-materials.
9,
Chinese name: Stan
English name: An Introduction to Game Theory
by Martin J. Osborne Ariel Rubinstein
Description: This is a national leading universities in Europe and America, and commonly used game theory primer.
10,
Chinese name: In addition to the evolution of an outside game, including almost all the classic textbook on game theory.
Posted by C'est La Vie (
2007-09-01 02:18
Some people feel that they have thought, not knowing the same or similar ideas, as early as a few hundred or even thousands of years ago it was suggested, and it brought out more depth and deep. So, say what you want them ...