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 one-time scenario. You want to buy a sandwich where the options are a roast beef sandwich or an avocado sandwich. Choosing … Continue reading

Posted in Games, Philosophy, Rationality | Tagged , , | 17 Comments

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

Posted in Economics, Games, Guest blogger, Law | Tagged , | 3 Comments

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 | 4 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

Posted in Games, Mathematics to the rescue, Sport | Tagged , | 8 Comments

Is Backgammon in P?

  The Complexity of Zero-Sum 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

Posted in Computer Science and Optimization, Games, Open problems, Probability | 10 Comments

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

Posted in Computer Science and Optimization, Convex polytopes, Games | Tagged , | 11 Comments

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

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

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 , , , , , | 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 , , , | 3 Comments