Tag Archives: Test your intuition

TYI 25: The Automorphism Group of the Symmetric Group

Posted on December 2, 2014 by

True or False: The group of automorphisms of the symmetric group , n ≥ 3 is itself.  

Posted in Algebra and Number Theory, Test your intuition | Tagged , | 7 Comments

Test your intuition 24: Which of the following three groups is trivial

Posted on November 13, 2014 by

Martin Bridson We have three finitely presented groups A is generated by two generators a and b and one relation   B is generated by three generators a, b, c and three relations ,    . C is generated by four generators a, b, c, d … Continue reading →

Posted in Algebra and Number Theory, Test your intuition | Tagged , | 10 Comments

Test Your Intuition (23): How Many Women?

Posted on June 29, 2014 by

How many women can you find on this poster announcing the 25th Jerusalem School in Economics Theory devoted to Matching and Market Design? Please respond to the poll:

Posted in Economics, Test your intuition | Tagged | 5 Comments

Answer to Test Your Intuition (22)

Posted on May 13, 2014 by

  Indeed, most people got it right! Bundling sometimes increases revenues, sometimes keeps revenues the same, and sometimes decreases revenues. In fact, this is an interesting issue which was the subject of recent research effort. So here are a few … Continue reading →

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Test your intuition (22): Selling Two Items in a Bundle.

Posted on May 5, 2014 by

One item You have one item to sell and you need to post a price for it. There is a single potential buyer and the value of the item for the buyer is distributed according to a known probability distribution. It … Continue reading →

Posted in Economics, Test your intuition | Tagged | 1 Comment

Test Your Intuition (21): Auctions

Posted on May 18, 2013 by

You run a single-item sealed bid auction where you sell an old camera. There are three bidders and the value of the camera for each of them is described by a certain (known) random variable: With probability 0.9 the value … Continue reading →

Posted in Economics, Games, Test your intuition | Tagged , , | 4 Comments

Test your Intuition/Knowledge: What was Lord Kelvin’s Main Mistake?

Posted on May 8, 2013 by

The age of the earth (Thanks to Yeshu Kolodny) We now know that the age of the earth is 4.54±1% Billion years. From Wikipedea: In 1862, the physicist William Thomson (who later became Lord Kelvin) of Glasgow published calculations that … Continue reading →

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Taking balls away: Oz’ Version

Posted on April 27, 2013 by

This post is based on a comment by Oz to our question about balls with two colors: “There is an interesting (and more difficult) variation I once heard but can’t recall where: You have a box with n red balls … Continue reading →

Posted in Guest post, Probability, Test your intuition | Tagged , , | 14 Comments

Answer to test your intuition (18)

Posted on April 23, 2013 by

You have a box with n red balls and n blue balls. You take out balls one by one at random until left only with balls of the same color. How many balls will be left (as a function of n)? … Continue reading →

Posted in Probability, Test your intuition | Tagged , , , , | 3 Comments

Itai Ashlagi, Yashodhan Kanoria, and Jacob Leshno: What a Difference an Additional Man makes?

Posted on April 19, 2013 by

We are considering the stable marriage theorem. Suppose that there are n men and n women. If the preferences are random and men are proposing, what is the likely average women’s rank of their husbands, and what is the likely average … Continue reading →

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