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 Mathematical Gymnastics
 Media Item from “Haaretz” Today: “For the first time ever…”
 Jim Geelen, Bert Gerards, and Geoﬀ Whittle Solved Rota’s Conjecture on Matroids
 Media items on David, Amnon, and Nathan
 Next Week in Jerusalem: Special Day on Quantum PCP, Quantum Codes, Simplicial Complexes and Locally Testable Codes
 Happy Birthday Ervin, János, Péter, and Zoli!
 My Mathematical Dialogue with Jürgen Eckhoff
 Test Your Intuition (23): How Many Women?
 Happy Birthday Richard Stanley!
Top Posts & Pages
 Believing that the Earth is Round When it Matters
 The KadisonSinger Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
 A Few Mathematical Snapshots from India (ICM2010)
 Why Quantum Computers Cannot Work: The Movie!
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Media Item from "Haaretz" Today: "For the first time ever..."
 Two Math Riddles
 יופיה של המתמטיקה
 The Ultimate Riddle
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Category Archives: Games
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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Itai Ashlagi, Yashodhan Kanoria, and Jacob Leshno: What a Difference an Additional Man makes?
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
Test Your Intuition (19): The Advantage of the Proposers in the Stable Matching Algorithm
Stable mariage The GaleShapley stable matching theorem and the algorithm. GALESHAPLEY THEOREM Consider a society of n men and n women and suppose that every man [and every woman] have a preference (linear) relation on the women [men] he [she] knows. Then … Continue reading
Test Your Intuition (17): What does it Take to Win TicTacToe
(A few more quantum posts are coming. But let’s have a quick break for games.) Tic Tac Toe is played since anciant times. For the common version, where the two players X and O take turns in marking the empty squares … Continue reading
Ann Lehman’s Sculpture Based on Herb Scarf’s Maximal Lattice Free Convex Bodies
Maximal latticefree convex bodies introduced by Herb Scarf and the related complex of maximal lattice free simplices (also known as the Scarf complex) are remarkable geometric constructions with deep connections to combinatorics, convex geometry, integer programming, game theory, fixed point computations, … Continue reading
Posted in Art, Computer Science and Optimization, Economics, Games
Tagged Ann Lehman, Herb Scarf
3 Comments
Angry Bird Skepticism
Lenore Holditch is a freelance writer. Here is what she wrote to me: “I love learning about new topics, so I am confident that I can provide valuable content for your blog on any topic you wish, else I can … Continue reading
Posted in Games, Rationality
Tagged Angry bird, Lenore Holditch, Too good to be true
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The Privacy Paradox of Rann Smorodinsky
The following paradox was raised by Rann Smorodinsky: Rann Smorodinsky’s Privacy Paradox Suppose that you have the following onetime scenario. You want to buy a sandwich where the options are a roast beef sandwich or an avocado sandwich. Choosing … Continue reading
Eyal Sulganik: Towards a Theory of “Mathematical Accounting”
The following post was kindly contributed by Eyal Sulganik from IDC (Interdiciplinary Center) Herzliya. Eyal was motivated by our poll on certainty “beyond a reasonable doubt,” which is related to several issues in accounting. Mathematicians, I believe, are always looking … Continue reading
Galvin’s Proof of Dinitz’s Conjecture
Dinitz’ conjecture The following theorem was conjectured by Jeff Dinitz in 1979 and proved by Fred Galvin in 1994: Theorem: Consider an n by n square table such that in each cell (i,j) you have a set with n or more elements. … Continue reading
Posted in Combinatorics, Games
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