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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.

    Visit blogRSSHN submissions
    MathEconomics
    What HN says

    HN links it for game theory explanations such as Hotelling's game on why gas stations cluster, fair cake cutting and mental math.

    Stats for nerds
    57HN people shared it
    114linked in comments
    1.1Kstory points
    Feb 2024last shared
    2009people per year2024

    Top posts on HN

    1. 1
      How Game Theory Solved a Religious Mystery
      4 people · 184 points · first shared 2009 · 51 comments on HN
    2. 2
      Hotelling’s Game, or Why Gas Stations Have Competitors Nearby
      3 people · 131 points · first shared 2011 · 71 comments on HN
    3. 3
      An 'impossible' card puzzle
      1 person · 91 points · first shared 2010 · 28 comments on HN
    4. 4
      iPhone 4-digit passcodes more secure when containing only 3 unique digits
      3 people · 84 points · first shared 2011 · 37 comments on HN
    5. 5
      Hotelling’s Game, or Why Gas Stations Have Competitors Nearby (2008)
      3 people · 83 points · first shared 2019 · 64 comments on HN
    6. 6
      A paradoxical math ratio
      1 person · 61 points · first shared 2011 · 21 comments on HN
    7. 7
      Why the secret to speedier highways might be closing some roads: the Braess paradox
      1 person · 50 points · first shared 2009 · 21 comments on HN
    8. 8
      What do PhD Scientists in America Have in Common with Unmarried Women in China?
      1 person · 43 points · first shared 2013 · 49 comments on HN
    9. 9
      How to find cheap gas using game theory
      1 person · 41 points · first shared 2010 · 24 comments on HN
    10. 10
      The Man and the Lion Puzzle: Pursuit and Evasion Game Theory
      1 person · 37 points · first shared 2013 · 9 comments on HN

    What HN people wrote when they linked it

    • egivaJun 2011

      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-negotiations/

    • CaptainZappJun 2019

      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/mediatechnologyandtelecoms/11038992/More-pubs-get-sport-from-BT-than-Sky.html

      [2] https://mindyourdecisions.com/blog/2016/12/13/game-theory-applied-why-is-there-a-pint-glass-in-the-corner-of-tvs-at-pubs/

      e: spello

    • Robin_MessageApr 2012

      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-religious-mystery/ 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.

    • jdietrichJun 2019

      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-is-there-a-pint-glass-in-the-corner-of-tvs-at-pubs/

    • adolphFeb 2024

      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-math-question-wrong-can-you-solve-it-sunday-puzzle/

    • bumbledravenJan 2016

      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.

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