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Recent Posts
 Updates (belated) Between New Haven, Jerusalem, and TelAviv
 Oded Goldreich Fest
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Around the GarsiaStanley’s Partitioning Conjecture
 My Answer to TYI 28
 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
 Thilo Weinert: Transfinite Ramsey Numbers
Top Posts & Pages
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
 Borsuk's Conjecture
 The Race to Quantum Technologies and Quantum Computers (Useful Links)
 Polymath10: The Erdos Rado Delta System Conjecture
 In how many ways you can chose a committee of three students from a class of ten students?
 Believing that the Earth is Round When it Matters
 Is Mathematics a Science?
 Symplectic Geometry, Quantization, and Quantum Noise
 Can Category Theory Serve as the Foundation of Mathematics?
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Category Archives: Games
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
6 Comments
Another way to Revolutionize Football
The angle of Victoria Beckham’s hat (here in a picture from a recent wedding) is closely related to our previous post on football One of the highlights of the recent Newton Institute conference on discrete harmonic analysis was a football … Continue reading
Is Backgammon in P?
The Complexity of ZeroSum Stochastic Games with Perfect Information Is there a polynomial time algorithm for chess? Well, if we consider the complexity of chess in terms of the board size then it is fair to think that the answer is … Continue reading
Subexponential Lower Bound for Randomized Pivot Rules!
Oliver Friedmann, Thomas Dueholm Hansen, and Uri Zwick have managed to prove subexponential lower bounds of the form for the following two basic randomized pivot rules for the simplex algorithm! This is the first result of its kind and deciding … Continue reading
Test Your Intuition (13): How to Play a Biased “Matching Pennies” Game
Recall the game “matching pennies“. Player I has to chose between ‘0’ or ‘1’, player II has to chose between ‘0’ and ‘1’.No player knows what is the choice of the other player before making his choice. Player II pays … Continue reading
Futures Trading as a Game of Luck
A recent interesting article by Ariel Rubinstein entitled “Digital Sodom” (in Hebrew) argues that certain forms of futures trading (and Internet sites where these forms of trading take place) are essentially gambling activities. The issue of “what is gambling” is very intereting. In an earlier … Continue reading
Posted in Economics, Games, Law
9 Comments
Chess can be a Game of Luck
Can chess be a game of luck? Let us consider the following two scenarios: A) We have a chess tournament where each of forty chess players pay 50 dollars entrance fee and the winner takes the prize which is 80% … Continue reading
Posted in Controversies and debates, Economics, Games, Law, Probability, Rationality
Tagged Chess, Gambling, Games of luck, Games of skill, Poker, Robert Aumann
38 Comments
Social Choice Talk
I took part in a workshop celebrating the publication of a new book on Social Choice by Shmuel Nitzan which took place at the Open University. (The book is in Hebrew, and an English version is forthcoming from Cambridge University Press.) … Continue reading
Posted in Economics, Games, Rationality
Tagged Arrow's theorem, Condorcet Paradox, Condorcet's jury theorem, Social choice
3 Comments