哥伦比亚大学经济金融科研项目

Columbia University Economic and Financial Research  Project

哥伦比亚大学(Columbia University)是全世界最重要的学术研究中心之一。位于纽约曼哈顿的哥伦比亚大学（Columbia University）是世界最具声望的高等学府，八大常青藤盟校之一。曾与哈佛大学和芝加哥大学一起被公认为美国高等教育三巨头。其教育学、法学、商学院和新闻学院的课程都是各机构学术排名最高的课程。一句话总结哥大：科学领域的领先者；艺术领域独具创造性的远见者；人文领域的新标杆及工程领域思想新颖的创新者！哥伦比亚大学的历届毕业生和教职员中累计共有97名诺贝尔奖得奖者，于世界各大学中排名第一。

科研时间：寒暑假期间，每期时间长度为3—4周； 

针对假期不足4周的同学，可采取实地+远程相结合的方式，确保科研收获，如果科研时期还未获得美国签证的同学，也可采取直接远程的方式进行学术科研。

具体情况根据学生面试情况由美方进行调整；报名后安排校方面试，面试前辅导学生阅读1篇专业论文；

申请截止：滚动报名，先到先得；

面向对象：欲申请美国常青藤名校经济、金融、数学统计等相关专业的本科生和硕士生，以及部分优秀的高中生；

专业背景：经济，金融，数学统计等相关专业；

软性背景：有一定的科研履历背景者优先；

科研主题：以下领域内的相关课题，具体课题根据学生的基础，导师面试后确定。

game theory 【博弈论】

Design of mechanism and method 【机制与方法设计】

Decision theory 【决策理论】

Behavioral economics 【行为经济学】

Financial Transactions 【金融交易】

Financial Frictions 【金融摩擦】

Information Acquisition and Mechanism Method Design【信息获取与机制方法设计】

Mathematics【数学】

Goals

How do/should individuals make decisions in this interactive world? Through this research  program, students are introduced to the game theoretic perspective of social and economic  activities. More importantly, students will learn to read papers in the frontier of economics  and appreciate their strengths and weaknesses. Toward the end of the program, students will  be guided to initiate their own research on a topic of their choice. Hopefully the research is  continued in the future and turned into a paper.

The tentative plan is to: 

1. Lay the mathematical foundation for modern game theory - so you can speak jargon  and think about games abstractly;

2. Discuss numerous games encountered in the real world - so you get a sense of how  economists simplify" complex situations into a compact game-form;

3. Study in-depth the existing literature of selected subareas of game theory -so you  develop the knowledge of what has/has not been done and acquire the skills to replicate a  paper as well as write your own;

4. Formulate an interesting question and probe its answer via guided research - so you  take away fifirst-hand experience of how research actually goes and discover for  yourself whether it is exciting or excruciating.

Whether you are in the process of applying for graduate school or just considering that as an  option, this research program will give you new insights on the life of an academic. Even if  you have no intention of pursuing academia, knowing game theory may provide you with a  different angle to approach strategic decisions. To be a bit practical, many fifinancial trading  fifirms are taking advantage of game theoretic models to make millions of profifits nowadays.  No wonder game theory has become a mandatory course in business schools, and the topic  often pops up in job interviews.

Last but not least, many results in game theory are cool and even surprising. In learning  these results, you will also get to know such great names (including 10 Nobel laureates) as  John von Neumann, Harold Kuhn, David Blackwell, John Nash, Rein-hard Selten, John Harsanyi, Robert Aumann, Thomas Schelling, Eric Maskin, Roger Myerson, David Gale,  Lloyd Shapley, Alvin Roth, Drew Fudenberg and Jean Tirole. I hope you will be fascinated  and inspired by their talents as well as by their lives.

Prerequisites

As the program will be mostly self-contained, it is not necessary to have previous expo-sure  to game theory or any other subfifield of economics. However, some advanced mathematical  knowledge is indispensable to understanding the materials and ultimately proving theorems  of your own. The detailed requirements are listed below:

You should be comfortable with algebraic manipulations such as solving systems of (linear)  equations. Knowing some basic calculus (how to take derivatives) and/or probability (what  expectation means) is a defifinite plus. Better still is decent famil-iarity with real analysis,  point-set topology, linear algebra and probability theory. An ability to read and write proofs  will be highly benefificial. But most importantly, you should be willing to look things up and  not let confusion slip through.  

1. 提交报名表；

2. 初审合格，签订协议，科研组择优面试；

3. 面试通过后，发送录取确认书；

4. 协调机票、接机、住宿；

5. 赴美开始科研；

6. 丰富的CV、PS履历；获得科研证书，表现优异者可获导师推荐信助力申请。

1、进入美国顶尖名校，师从名校导师开展科研项目；接触尖端科学；

2、为未来在美深造做准备；留美经历是美国申研的基石，顶级名校的科研项目是对你有能力完成名校的申请和学习的最好证明。

3、高层次的人脉和校友关系，与你为伍的人是世界顶级名校的专家、学者，你将体验到世界最顶级学术专家们的思想和气质。

4、挑战自身潜能，切身体会哥伦比亚大学顶尖科研环境，在严苛的训练下快速成长。

5、极大拓宽视野，实地感受国内外科研区别。通过此次科研，参与学生将会对留学名校有个清晰的认识，并依此做出最优的人生规划。

6、有机会获得美方导师推荐信；一封有份量的推荐信，高含金量收获助力未来留学深造及就业。

7、美国当地的旅游和个人成长。