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 Test your intuition 28: What is the most striking common feature to all these remarkable individuals
 R(5,5) ≤ 48
 Test Your Intuition (27) about the AlonTarsi Conjecture
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 R(5,5) ≤ 48
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Category Archives: Test your intuition
Test your intuition 28: What is the most striking common feature to all these remarkable individuals
Test your intuition: What is the most striking common feature to all these fifteen remarkable individuals László Babai; Avi Wigderson; Lance Fortnow; Lane Hemaspaandra; Sampath Kannan; Hal Gabow; Richard Karp; Tom Leighton; Rockford J. Ross; Alan Selman; Michael Langston; S. … Continue reading
Test Your Intuition (27) about the AlonTarsi Conjecture
On the occasion of Polymath 12 devoted to the Rota basis conjecture let me remind you about the AlonTarsi conjecture and test your intuition concerning a strong form of the conjecture. The sign of a Latin square is the product … Continue reading
Posted in Combinatorics, Open problems, Test your intuition
Tagged AlonTarsi conjecture, Polymath12
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TYI 26: Attaining the Maximum
(Thanks, Dani!) Given a random sequence , ******, , let . and assume that . What is the probability that the maximum value of is attained only for a single value of ? Test your intuition: is this probability bounded … Continue reading
TYI 25: The Automorphism Group of the Symmetric Group
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 Test your intuition, the symmetric group
7 Comments
Test your intuition 24: Which of the following three groups is trivial
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 Martin Bridson, Test your intuition
10 Comments
Test Your Intuition (23): How Many Women?
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:
Answer to Test Your Intuition (22)
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
Posted in Economics, Test your intuition
Tagged Auctions, Noam Nisan, Sergiu Hart, Test your intuition
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Test your intuition (22): Selling Two Items in a Bundle.
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
Auctionbased Tic Tac Toe: Solution
Reshef, Moshe and Sam The question: (based on discussions with Reshef Meir, Moshe Tennenholtz, and Sam Payne) Tic Tac Toe is played since anciant times. For the common version, where the two players X and O take turns in marking … Continue reading
Test Your Intuition (21): Auctions
You run a singleitem 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 Auctions, Roger Myerson, Test your intuition
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