Game theory math for economics


















Mechanism design is the problem of designing a game so as to guarantee that players playing rationally will produce outcomes that are desirable from the point of view of the mechanism designer. Auctions can be viewed as instances of mechanisms. We may be interested in designing auctions that, for example, maximize the revenue of a seller or encourage truthful behavior on the part of buyers. Computer scientists have become interested in algorithmic mechanism design, where the focus is on designing mechanisms with good properties that can be implemented in polynomial time.

More recently, there has been work designing extremely simple mechanisms, that may not be optimal but perform well in some appropriate sense in equilibrium. Combining learning theory with game theory: Online learning theory provides powerful models such as the famous multi-armed bandit problem for reasoning about processes that adapt their behavior based on past observations.

Geometry courses allow students to describe the world around them in basic and profound ways. Our younger students learn about shape, scale, and proportion in Geometry and Spatial Sense. Middle School students explore beautiful applications of lines, angles, non-Euclidean geometry, and more in Geometry through Art. And advanced students explore the underlying mathematics and fundamental characteristics of shapes, distance, and continuous deformations in our proof-based Topology course.

Our courses in formal logic give you the tools to question the world around you. Younger students are introduced to different types of reasoning, as well as the strengths and weaknesses inherent in various forms of critical analysis in Inductive and Deductive Reasoning.

Older students explore how logical reasoning can explain or fail to explain counter-intuitive results in Paradoxes and Infinities , or take a more rigorous approach to formal logic in Mathematical Logic. This was my fifth summer working at CTY. I love the culture of CTY. For three weeks, students and staff from all over the world create their own special community unlike anywhere else.

I love getting to be a part of that. When I was a student at CTY, I was excited to be in a place where all of the instructors and program assistants loved learning as much as I did.

It wasn't until I came back as a PA that I realized CTY instructors feel just as excited to work with such dedicated and curious students. Being in a fast-paced environment where I can be my dorky self and teach and learn from the students I work with, are a couple of reasons why I am drawn to CTY and keep coming back. On-Campus Summer Programs. It contains an encrypted unique ID. The purpose of the cookie is to map clicks to other events on the client's website.

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