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 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
 More Math from Facebook
 The Erdős Szekeres polygon problem – Solved asymptotically by Andrew Suk.
 The Quantum Computer Puzzle @ Notices of the AMS
 Three Conferences: Joel Spencer, April 2930, Courant; Joel Hass May 2022, Berkeley, Jean Bourgain May 2124, IAS, Princeton
 Math and Physics Activities at HUJI
 Stefan Steinerberger: The Ulam Sequence
Top Posts & Pages
 Mind Boggling: Following the work of Croot, Lev, and Pach, Jordan Ellenberg settled the cap set problem!
 Polymath 10 Emergency Post 5: The ErdosSzemeredi Sunflower Conjecture is Now Proven.
 The KadisonSinger Conjecture has beed Proved by Adam Marcus, Dan Spielman, and Nikhil Srivastava
 Polymath 10 post 6: The ErdosRado sunflower conjecture, and the Turan (4,3) problem: homological approaches.
 Believing that the Earth is Round When it Matters
 A Breakthrough by Maryna Viazovska Leading to the Long Awaited Solutions for the Densest Packing Problem in Dimensions 8 and 24
 Answer: Lord Kelvin, The Age of the Earth, and the Age of the Sun
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 Telling a Simple Polytope From its Graph
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Category Archives: Economics
Michael Schapira: Internet Routing, Distributed Computation, Game Dynamics and Mechanism Design I
This post is authored by Michael Schapira. (It is the first in a series of two posts.) In this post, I’ll outline work on Internet routing and sketch important areas for future work, both on routing itself and, more broadly, on … Continue reading
Posted in Computer Science and Optimization, Economics, Guest blogger
Tagged incentive compatibility, Internet, Routing, Security
4 Comments
Impossibility Result for “Survivor”
Consider a set of agents and a directed graph where an edge means that agent supports or trusts agent . We wish to choose a subset of size of trustworthy agents. Each agent’s first priority is to be included in … Continue reading
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
2 Comments
Basic Open Research and Failed Institutions – Imagine
Imagine if in the last ten years before the collapse, the huge failed financial and insurance institutions had had independent research units devoted to doing basic, open, and critical research on matters of relevance to the business, ethics, and future of these institutions. Might it have made a small … Continue reading
The HexVotingRule (Not Recommended)
Blue wins – if there is a right to left continuous path of blue regions Red wins – if there is north to south continuous path of red regions (A region is red or blue according to the majority of … Continue reading
Posted in Economics, Games
12 Comments
Malawi
Malawi Here are two additional sectionettes from my “Notices of the AMS” book review entitled “Economic and Common Sense” on Steven Landsburg’s book “More Sex is Safe Sex – the unconventional wisdom of economics”. Both sectionettes deal with Government intervention in economics. The first is about fertilizer … Continue reading
Posted in Economics
Tagged Bailout, Crisis, Fertilizers, Inflation, Malawi, Subsedies
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The Prisoner’s Dilemma, Sympathy, and Yaari’s Challenge
Correlation and Cooperation In our spring school devoted to Arrow’s economics, Menahem Yaari gave a talk entitled “correlation and cooperation.” It was about games as a model of people’s behavior, and Yaari made the following points: It is an empirical fact … Continue reading
Posted in Economics, Games, Philosophy, Rationality
Tagged Cooperation, Correlation, Prisoner dilemma
2 Comments
Arrow’s Economics 1
The annual Summer School in Economics at HU was directed until last year by Kenneth Arrow, along with Eyal Winter. Arrow decided this year to step down as a director and Eric Maskin is replacing him. The 2008 Summer School was … Continue reading
What do Firms Want?
Here is another little sectionette from my book review “Economics and Common Sense” on Steven Landsburg’s book “More sex is Safe Sex: The Unconventional Wisdom of Economics”, that just appeared on the AMS Notices site. Of course this topic can lead to a lovely … Continue reading
Posted in Book review, Economics
Tagged Book review, Economics, Firms, Notices of the AMS, Steven Lundsburg
3 Comments