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Mind Your Decisions
mindyourdecisions.com · Personal blog · on HN since 2008
Mind Your Decisions is a math and game theory blog covering puzzles, probability, mental math and everyday strategic problems.
What HN saysHN links it for game theory explanations such as Hotelling's game on why gas stations cluster, fair cake cutting and mental math.
57HN people shared it
15linked it in comments
114stories submitted
1.1Kstory points
2 years agolast shared
2008people per year2026
Most-shared posts
- 1How Game Theory Solved a Religious Mystery4 people · 184 points · first shared 2009 · 51 comments on HN
- 2Hotelling’s Game, or Why Gas Stations Have Competitors Nearby3 people · 131 points · first shared 2011 · 71 comments on HN
- 3iPhone 4-digit passcodes more secure when containing only 3 unique digits3 people · 84 points · first shared 2011 · 37 comments on HN
- 4Hotelling’s Game, or Why Gas Stations Have Competitors Nearby (2008)3 people · 83 points · first shared 2019 · 64 comments on HN
- 5A novel use for unpaired left shoes2 people · 34 points · first shared 2010 · 36 comments on HN
- 6Game Theory in The Dark Knight: the opening scene2 people · 15 points · first shared 2009 · discussion on HN
- 7This SAT Math question got no correct submissions2 people · 11 points · first shared 2015 · 3 comments on HN
- 8The Friendship Paradox: why your friends have more friends than you do2 people · 5 points · first shared 2012 · 3 comments on HN
- 9So many uses for vodka2 people · 3 points · first shared 2010 · 1 comments on HN
- 10Blog2 people · first shared 2009
- 11Game theory applied why is there a pint glass in the corner of tvs at pubs2 people · first shared 2019
- 12An 'impossible' card puzzle1 people · 91 points · first shared 2010 · 28 comments on HN
- 13A paradoxical math ratio1 people · 61 points · first shared 2011 · 21 comments on HN
- 14Why the secret to speedier highways might be closing some roads: the Braess paradox1 people · 50 points · first shared 2009 · 21 comments on HN
- 15What do PhD Scientists in America Have in Common with Unmarried Women in China?1 people · 43 points · first shared 2013 · 49 comments on HN
What HN people wrote when they linked it
bumbledraven · 2016-01-14
Two excellent books on the subject are Secrets of Mental Math by Arthur Benjamin (for beginners) and Dead Reckoning: Calculating Without Instruments by Ronald Doerfler (more advanced).
The Mind Your Decisions blog (http://mindyourdecisions.com/blog/tag/mental-math/) has a lot of neat mental math tricks, but they're not really organized into a unified presentation there as in the books above.
adolph · 2024-02-29
Do you wind up wasting the next one in the row, so only wasting half as many slots?
Reminds me of the 1/3 coin revolution problem: Circle A has 1/3 the radius of circle B. Circle A rolls around circle B until it returns to its starting position. How many revolutions of circle A are there in total?
https://mindyourdecisions.com/blog/2015/07/05/everyone-got-this-sat-ma…
flashback2199 · 2023-10-17
It's probably that math phenomenon that explains why gas stations cluster together. I guess this is the one. I heard about it on here long time ago. https://mindyourdecisions.com/blog/2008/03/25/game-theory-tuesdays-hot…
pbhjpbhj · 2019-09-18
Reminds me of mathematical methods for fairly dividing cake, eg https://mindyourdecisions.com/blog/2015/12/22/how-to-split-a-cake-fair… (though I don't think that's the method I'm recalling).
jdietrich · 2019-06-12
Sky Sports use a far simpler solution that doesn't violate anyone's privacy.
The satellite feed that's licensed for public venues has a small beer glass logo burned in to the image. The amount of beer in the glass changes every day on a pseudorandom basis. An inspector can check whether a pub has the right license simply by looking at the screen - if the glass is missing or contains the wrong amount of beer, it's an unlicensed stream. It's plausibly hackable by a sufficiently motivated person, but it's a remarkably simple and effective deterrent.
https://mindyourdecisions.com/blog/2016/12/13/game-theory-applied-why-…
philbarr · 2019-04-29
Game theory suggests why this is the case:
https://mindyourdecisions.com/blog/2008/03/25/game-theory-tuesdays-hot…
baddox · 2016-09-22
And even very slight preferences for living near people who look like you can lead to intense segregation:
http://mindyourdecisions.com/blog/2008/10/28/game-theory-and-racism-th…
salmonellaeater · 2014-02-23
Presh Talwalkar posts weekly logic puzzles[1]. His blog is a good source of interesting applications of economics and game theory to the real world.
[1] http://mindyourdecisions.com/blog/
stcredzero · 2013-03-30
You can still have some security by repeating one digit.
http://mindyourdecisions.com/blog/2011/01/27/game-theory-and-probabili…
Robin_Message · 2012-04-18
I was gonna post a comment saying what they meant was obvious, but then I just went "ohhhh." * That's actually quite an annoying little problem there.
One work-around might be to add rules to the exchange forbidding the placing of multiple bids by the same entity at the same price, and then allocating randomly.
This is also reminding me of the Talmud's descriptions of how to pay off debtors when there isn't enough money to go around: http://mindyourdecisions.com/blog/2008/06/10/how-game-theory-solved-a-… Such a system could work for exchanges too, although it still encourages over-bidding.
Surely also over-bidding has its own risk/reward curve so it would be reasonable to allocate pro-rata and let people work out how much to over-allocate.
* And realised what the implications were.
foobarbazetc · 2011-06-20
http://mindyourdecisions.com/blog/wp-content/uploads/2011/01/iphone_pa…
So yes, it "leaks password data". ;)
paulgb · 2009-04-24
I assume by HN-like you mean link aggregators, but for content, I like the Mind Your Decisions blog (unfortunately, posts have become infrequent lately): http://mindyourdecisions.com/blog/
LtU is good too, but I don't read it often. http://lambda-the-ultimate.org/
CaptainZapp · 2019-06-13
Since La Liga can't price discriminate easily
Sports broadcasts are massively price discriminated, however, which is probably the whole point of this bruhaha.
Pubs in the UK, for example, pay a much higher fee (something like 15'000£ a year[1]) than households (which I believe is in the 50Quid range a month) for the right to publicly broadcast the games.
It's probably such shenanigans (using a home subscription to show in the pub) that they're trying to fight. Not that I agree with the methods, mind you.
This, btw, explains why you see a beer glass in the corner of sports broadcasts in English pubs[2]. At least the ones that are properly licensed.
[1] https://www.telegraph.co.uk/finance/newsbysector/mediatechnologyandtel…
[2] https://mindyourdecisions.com/blog/2016/12/13/game-theory-applied-why-…
e: spello
egiva · 2011-06-20
For people who want more substantive ideas about the topic: they talk about "positive leverage" and compare the situation to what you encounter in a hostage crisis. In economics, this is actually called the "Patient Seller" model, or the "Rubinstein Bargaining Model" - it's a basic element of Game Theory and comes out of John Nash's famous "Nash Equilibrium" (see: Russell Crowe in the movie Beautiful Mind!).
Basically, when you work in (for example) sales and have to periodically negotiate new contracts with buyers, you learn that this model is intuitive and in practice really stands up to scrutiny.
Here's a quote from a good write-up on the subject:
"What determines the final selling price? The key observation is that patient players give up less at each negotiating step because they see more value in future dollars. Therefore, their strategies are represented by flatter lines. Impatient players want the deal done quickly, and their strategies are represented by steeper lines."
Quote Source: http://mindyourdecisions.com/blog/2008/07/15/why-patience-pays-off-in-…