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On the felicities of graph-based game-board design: thirteen

Friday, December 21st, 2018

[ by Charles Cameron — the Trinity and National Security, Game Boards and Mathematics, Japanese wave patterns, Maestro Harding on the interconnectedness of “all branches of human knowledge and curiosity, not just music” — plus Blues Clues at the tail end ]
.

Not only have the last couple of days been riotous in Washington, with more news to track than I have eyes to see, but today, still reeling under the weight of Mattis‘ resignation, McConnell‘s statement in support and other matters, I found myself with a richesse of board-game and graph-related delights.

**

Trinitarian NatSec:

Followers of this searies will be familiar with the Trinitarian diagram juxtaposed here with its equivalents from classical Kabballah and Oronce Fine:

That little triptych is from my religion and games avenues of interest, but of course I’m also interested in matters of national security, as befits Zenpundit, the strategy & creativity blog. You can imagine my surprise and delight, then, in coming across a natsec version of the trinity diagram, in a tweet from Jon Askonas.

Here’s my comparison:

My own attention was first drawn to the Trinitarian diagram as a result of reading Margaret Masterman‘s brilliant cross-disciplinary work, “Theism as a Scientific Hypothesis”, which ran in four parts in a somewhat obscure and difficult to find journal, Theoria to Theory, Vol 1, 1-4, 1966-67.

See:

  • Margaret Masterman, George Boole and the Holy Trinity
  • Margaret Masterman’s “Theism as a Scientific Hypothesis”
  • **

    Game Boards and Mathematics:

    I could hardly fail to be intrigued by Calli Wright‘s piece titled The Big List of Board Games that Inspire Mathematical Thinking, eh? And look, the first game they show is a graph-based board game, Achi:

    Dara also looks somewhat relevant.

    **

    Japanese wave designs:

    Again, those familiar with my games will know of my juxtaposition of Von Kármán with Van Gogh as a DoubleQuote — but let me quote from an earlier post, Sunday’s second surprise — the Van Gogh DoubleQuote:

    Here’s the Von Kármán / Van Gogh DQ, which I value in light of Hermann Hesse‘s Glass Bead Game as a clear bridge between one of the crucial dualities of recent centuries — the needless and fruitless schism between the arts and sciences, which has given rise not only the rantings of Christopher Hitchens and his less elegant disciple Bill Maher, but to such other matters as the Papal condemnation and “forgiveness” 359 years later of Galileo Galilei, Charles Babbage‘s Ninth Bridgewater Treatise, Andrew White‘s A History of the Warfare of Science With Theology in ChristendomW, and CP Snow‘s The Two Cultures:

    karman gogh

    And finally, here’s an ugraded version of the other DQ of mine that seeks to bridge the arts and sciences — featuring Hokusai‘s celebrated woodblock print, The Great Wave off Kanagawa (upper panel, below) and Jakob aka nikozy92‘s fractal wave, which I’ve flipped horizontally to make its parallel with the Hokusai clearer (lower panel) — Jakob‘s is a much improved version of a fractal wave compared with the one I’d been using until today:

    SPEC-DQ-Hokusai-fractal v 2.0 minikozy92

    That brings me to the Met’s marvelous offering, to which J Scott Shipman graciously pointed me:

    Here’s where you get the collection:

  • You Can Now Download a Collection of Ancient Japanese Wave Illustrations for Free
  • Rich pickings!

    **

    Maestro Harding and the Glass Bead Game:

    Finally, I’ve been delighted today to run across a couple of vdeos of my nephew, Maestro Daniel Harding, conducting the Swedish Radio Symphony Orchestra some years back in programs exploring the interplay of mathematics and other disciplines and music:

    and:

    Daniel is not working the graph-based angle that my games explore, but his thinking here is pleasantly congruous with my own. His work with the SRSO has, he says in the first video here, “to do with all branches of human knowledge and curiosity, not just music — because everything is connected”.

    You can’t get much closer in spirit to Hesse‘s Glass Bead Game than that!

    **

    Earlier in this series:

  • On the felicities of graph-based game-board design: preliminaries
  • On the felicities of graph-based game-board design: two dazzlers
  • On the felicities of graph-based game-board design: three
  • On the felicities of graph-based game-board design: four
  • On the felicities of graph-based game-board design: five
  • On the felicities of graph-based game-board design: six
  • On the felicities of graph-based game-board design: seven
  • On the felicities of graph-based game-board design: eight
  • On the felicities of graph-based game-board design: nine
  • On the felicities of graph-based game-board design: ten
  • On the felicities of graph-based game-board design: eleven
  • On the felicities of graph-based game-board design: twelve
  • **

    BTW:

    NatSec, yes, and a DoubleQUote. Too good to miss. Thanks again to John Askonas..

    Rules of the Game(s)

    Tuesday, December 18th, 2018

    [ by Charles Cameron — a quick, deep (or high altitude) look into various ways to play ]
    .

    I learned quite a bit on a topic of huge interest to me — playing games — in short order over the last couple of hours.

    To wit, from Pine Gap, the Aussie espionage series on Netflix, which is how I take my naps — Pine Gap (Netflix) s 1 e 4:

    There are three ways to play any game:

    A: Plan your moves so far in advance your opponent can’t predict them,

    B: Make your opponent watch what you’re doing with one hand while your other is busy with your real game plan., or

    C: Play your cards very, very close to your chest..

    Sometimes all you can do is wait.. until your opponent makes the next move.

    Another game rule, this one from MTP Daily (MSNBC) 12/18/2018, which obviously obviated the nap:

    Whatever comes of this, both sides have got to save face.

    .
    And back to Pine Gap s1 e 5:

    Good game ..
    .
    A loss is always a bad game.

    **

    That covers quite a decent bit of ground: strategies in competitive games; games of negotiation, quasi-competitive, quasi-collaborative; games as play, pretend-competitive, non-competitive, playful — “For when the One Great Scorer comes to mark against your name, He writes – not that you won or lost – but how you played the Game” — and game as victory or defeat, period.

    **

    Now, get this, with an associative geopol link below, from Pine Gap s1 e6:

    We’re on the same side really, aren’t we? I mean, we all just want to be safe and happy, and our leaders want to be rich and powerful.

    Sure, but there are differences, too. See, uh, Americans play Chess, right? Where the object of the game is to kill the other king. A fest attack, a total victory. But we play Go, where the object of the game is to gradually own the most territory, slowly acquire a .. a winning position, which is a completely different approach — to, uh, life, business — even relationships ..

    Read that, which ties up many strands in the plot of Pine Gap, and also applies interestingly to events in the South China Sea: “to gradually own the most territory, slowly acquire a .. a winning position”.

    It’s been a good afternoon for picking up game quotes.

    **

    And holy moly, there’s more:

    It’s not about winning, Kath, it’s about maintaining dominance. [..]

    We keep everybody in check. [..]

    You played a good long game, Paul..

    We both played a pretty good long game, mate. I’ll be watching to see how yours plays out.

    And the coup de grace, quietly yet quite viciously delivered, wrt a divorce & who gets to keep the cat — with high irony:

    Shake hands, well played. Moving on, that’s me. No thoughts of revenge whatsoever.

    Metaphors, more iv, featuring Oliver Roeder & Chris Cillizza

    Wednesday, August 1st, 2018

    [ by Charles Cameron — others besides david ronfeldt who find game & sports metaphors valuable — or should that be invaluable? ]
    .

    I’m making this post a “special” because Ron Hale-Evans pointed me to a trove of articles variously about or touching on game metaphors for politics, geo or otherwise.

    **

    This was the start:

    What game is President Trump playing? By that I mean what actual game is he playing?

    Trump’s political performance, in seriousness and in jest, has often been likened to chess. Even to three-, four-, eight-, 10- and 12-dimensional chess. His proponents argue he’s a grandmaster,1 and his detractors argue he’s a patzer. CNN’s Chris Cillizza has written two different articles accusing Trump of playing “zero-dimensional chess,” whatever that means. Even Garry Kasparov, probably the greatest actual chess player of all time, has weighed in, inveighing against the use of this gaming cliche via Politico.

    In my job here at FiveThirtyEight, I spend a lot of time thinking about games — board games, video games, chess tournaments, math puzzles, the game theory of international affairs. So I understand that “playing chess” is easy shorthand for “doing strategy” or “being smart” or whatever. But I think we can do better. I humbly propose to you that Trump is not playing chess (of any dimension), but rather something called “ultimate tic-tac-toe.” It’s time to update your tropes.

    It’s a good day when I find an entire article dedicated to game or sports metaphors for politics, but this one had some great links..

    Instances:

    **

    The second thing this Corker episode makes clear is that, strategically speaking, Trump is playing zero-dimensional chess. As in, the only strategy is that there is no strategy.

    In the wake of Trump’s absolutely stunning 2016 victory, the conventional wisdom — in political circles — was that Trump was a strategic genius, always seeing five moves ahead. He was playing three-dimensional chess while the media was still trying to figure out which way pawns could move. The reason no one thought Trump could win was because “we” didn’t see the whole board the way he did. No one else saw it that way. Trump was a genius. An unconventional genius but a genius nonetheless.

    There, incidentally, is the definition of zero-dimensional chess:

    Trump is playing zero-dimensional chess. As in, the only strategy is that there is no strategy.

    And:

    **

    The key part is when he concludes Flake will be a “no” on the tax reform package in the Senate because, well, his political career is “toast” — or something.

    I submit this as yet another piece of evidence that Trump is playing zero-dimensional chess.

    What do I mean? Simply this: When Trump won the White House — against all odds — the working assumption was that he had executed a plan so brilliant and so complex that only he (and the few advisers he let in on the plan) could see it. He was playing three-dimensional chess while the media, the Clinton campaign and virtually everyone else was still playing checkers.

    But as his first year in the White House has progressed, there’s mounting evidence that Trump may not be playing three-dimensional chess. In fact, he might just be playing zero-dimensional chess. As in, the only strategy Trump is pursuing is no strategy at all.

    From a game-policy metaphor angle, this doesn’t take us much further, although you can read the whole post for details of the Trump-Flake business..

    And..

    **

    Chess? That’s not what Garry Kasparov sees Donald Trump or Vladimir Putin playing—three-dimensional or any other kind. But if they did sit down for a game, the former grandmaster believes the Russian president would obviously win.

    “Both of them despise playing by the rules, so it’s who will cheat first,” Kasparov told me in an interview for POLITICO’s Off Message podcast. “But in any game of wits, I would bet on Putin, unfortunately.”

    Kasparov gets into some interesting details, not entirely uncritical of Obama, and even GW Bush, but flicking Trump off the board with a flick of his cultivated fingernail..

    I think I’vetheis referenced the Kasparov article once before, but hey, this is a rich harvest..

    Next:

    **

    Shall we play a game?

    Imagine that a crisp $100 bill lies on a table between us. We both want it, of course, but there’s no chance of splitting it — our wallets are empty. So we vie for it according to a few simple rules. We’ll each write down a secret number — between 0 and 100 — and stick that number in an envelope. When we’re both done, we’ll open the envelopes. Whichever of us wrote down the higher number pockets the $100. But here’s the catch: There’s a percentage chance that we’ll each have to burn $10,000 of our own money, and that chance is equal to the lower of the two numbers.

    So, for example, if you wrote down 10 and I wrote down 20, I’d win the $100 … but then we’d both run a 10 percent risk of losing $10,000. This is a competition in which, no matter what, we both end up paying a price — the risk of disaster.

    What number would you write down?

    In the 538 post, the game’s available for interactive play.. And later in the same piece, too..

    Now imagine that you’re playing the same game, but for much more than $100. You’re a head of state facing off against another, and the risk you run is a small chance of nuclear war

    That was instructive, I think, though my mind is artificially dimmed at present..

    And finally:

    **

    This one revolved around a tweet in which Trump had said

    :When a country (USA) is losing many billions of dollars on trade with virtually every country it does business with, trade wars are good, and easy to win. Example, when we are down $100 billion with a certain country and they get cute, don’t trade anymore-we win big. It’s easy!

    How easy? was this post’s response:

    But how easy? And how exactly do you win them? (Also, what’s a trade war?)

    Let’s find out. You (Yes, you!) have just been elected president of your very own country. Congratulations! Now it’s time to get to work. There is another country out there that has goods you can buy, and you have goods it may want to buy. Your job is to choose your foreign economic policy — which you’ll do in the little game we’ve prepared for you below.

    The rules go like this: You can cooperate with the other country, allowing the free flow of its goods into your country. Or you can defect, imposing tariffs on the foreign goods. And because you will trade with the same country over and over again, you have to decide whether to stick with a single strategy no matter what or whether to change course in response to your opponent. The other country faces the same choice, but you can’t know in advance what plan they’ve chosen. Free trade helps both countries, generating big windfalls for both sides. But it’s possible for a single country to improve its own situation at the other’s expense — you both have a selfish incentive to defect, taxing the imports from the other country and helping only yourself. However, if you both defect, you both wind up isolated, cutting yourselves off from the market and reducing earnings on both sides.

    Again, the game is available for interactive play.

    We’ve simplified trade dramatically: You’re engaging in 100 rounds of trade with a randomly chosen FiveThirtyEight reader. In each round, you and your trade partner can either cooperate (allow free trade) or defect (impose a tariff). Your goal is to pick a strategy that earns you as much as possible.

    The game mechanics here were interesting (and “gave the game away” where the game is game theory a la Prisoners Dilemma):

    Well..

    Was there a trade war? Was it good? Did you win it?

    Tariffs are the weapons of a trade war

    The game you just played took a little game theory — the formal, mathematical study of strategy — and retrofitted it to the world of international relations. (Of course, our simulation is extremely simplified, and it runs in a very controlled little world that ignores alliances, trade deals, political histories, other countries, and hundreds of other factors.)

    **

    Memory slippage — lest we forget, there was one last game ref today:

    It’s the NYorker‘s film criticism of the latest impossible Mission, and the game sentence in the piece itself reads:

    Despite the deft coherence of the plot’s mirror games of alliance and betrayal, which provide the illusion of a developed drama, the movie almost totally deprives its characters of inner life or complex motives.

    Mirroring’s one of the patterns I love to collect, and game thinking here might note the Kierkegaardian note:

    In his 1846 essay “The Present Age,” Søren Kierkegaard decried the widespread tendency of the time -— which he summed up as an age “without passion” —- to “transform daring and enthusiasm into a feat of skill.”

    The continuum from “daring and enthusiasm to “feat of skill” is an interesting one for game designers to place their games on — before and after design, and when player feedback is in.

    A rich day indeed.

    **

    Sources:

  • FiveThirtyEight, Trump Isn’t Playing 3D Chess
  • CNN Politics, Donald Trump is playing zero-dimensional chess
  • CNN POlitics, Donald Trump is playing zero-dimensional chess (again)
  • Politico, Garry Kasparov Would Like You to Stop Saying ‘Trump Is Playing 4-D Chess’
  • FiveThirtyEight, How To Win A Nuclear Standoff
  • FiveThirtyEight, How To Win A Trade War
  • Trump on Twitter, trade wars are good, and easy to win
  • New Yorker, Mission: Impossible -— Fallout
  • **

    Some other posts in this series

    And I emphasize Some, previous posts in the game & sports metaphor series, as somewhat randomly collected, and Likelky not in sequential order:

  • ZP post, http://zenpundit.com/?p=57435
  • ZP post, http://zenpundit.com/?p=59988
  • ZP post, http://zenpundit.com/?p=59082
  • ZP post, http://zenpundit.com/?p=58644
  • ZP post, http://zenpundit.com/?p=57908
  • ZP post, http://zenpundit.com/?p=59678
  • ZP post, http://zenpundit.com/?p=57493
  • ZP post, http://zenpundit.com/?p=59496
  • ZP post, http://zenpundit.com/?p=60193
  • With any luck, some of these will have links to yet others in the series..

    **

    And dammit, pwned by another one before my head hit the pillow..

    Pawn, yes. Pwn?

    Metaphors, more iii

    Tuesday, July 17th, 2018

    [ by Charles Cameron — continuing from Metaphors, more ii — which has become seriously overloaded and is listing, seriously, to port ]
    .

    Almost all of these are references to Trump’s press conference with Putin, which seems important enough to call for its own post — there may be a couple of earlier statements dropped in..

    For example:

    ..
    jump to 17.10 in the video, answering “What was your view of Vladimir Putin today?” “Well, Ari, it’s All Star week here in Washington DC. He won the Home Run Derby of all Derbys, Vladimir Putin .. I think this was a big victory for Vladimir Putin..”

    **

    This too:

    WILSON: “I do think, though, that a lot of people today saw the real Donald Trump. They saw the Donald Trump who comes out acting like he’s the swaggering alpha male and he sat there on the stage like a whipped dog. I mean, he wanted Vladimir Putin’s approval. He didn’t care about anything else. He wanted Vladimir Putin to pat him on the head and to tell him he’s a good boy and nothing else mattered. He was defending himself with these wild haymaker punches trying to bring Hillary Clinton back into the conversation, but it was very clear today who the boss was in that room and who wears the dog collar. And it’s Donald Trump.”

    **

    And these:

    not taking one on the chin..
    i don’t know if they’d show up in his ofice and say, game’s up…
    trump made a game-time decision to play things his way ..
    he could have hit a home run, I’m ashamed he didn’t ..
    it was a game-time decision that virtually no one in his white house approved of – ashley parker
    was the white house awaree that they were likely gamed .. ?
    trump has outgamed himself ..
    the democrats are charlie brown, the republicans are lucy — sen chris murphy
    the informational dark side of the moon in that meeting..
    .
    Trump & Putin took turns on the tire swing yesterday — rachel maddow
    .
    **
    .
    British economists prove it: Sports destroy happiness

    Sports make the world a sadder place. Seriously. We’ve got data.
    .
    Armed with 3 million responses to a happiness monitoring app, plus the locations and times of several years worth of British soccer matches, University of Sussex economists Peter Dolton and George MacKerron calculated that the happiness that fans feel when their team wins is outweighed – by a factor of two – by the sadness that strikes when their team loses.
    .
    Which means, assuming a roughly equal number of fans on both sides, Sunday’s World Cup final between France and Croatia made the world less happy than it was the day before. On net, soccer is a destroyer of happiness.

    *
    .
    Bob Kerrey

    He got played by Vladimir Putin

    Vladimir Putin is going to play you, and play you he did ..
    .
    **
    .
    Ari to George Will:

    We go into this baroque fugue state

    **
    .
    this sort of Potemkin gun group in Russia ..
    while we’re playing bingo.. [Ari]
    here’s an easy one for you, here’s softball on hardball .. [chris matthews]
    coming up: spy games ..
    they do a walk back and a half twist ..
    this is a very simple pattern ..
    a russian diplomatic vehicle / miracle — and then, game over ..
    trump torpedo
    moral equivalency, tit-for-tat ..

    there’s a lot of tit-for-tat in this .. [Jonathan Chait]
    this kind of contrition theater ..
    keep your bingo card open for a few more minutes, nicolle ..
    gone beyond a goat rodeo ..
    [ new terms ] helsinki republicans, helsinki humiliation ..
    this is a velcro, not a teflon situation for him ..
    appears to have walked back his walk back ..
    “think of it as a player-trade” 11th hour/ swapping mcfaul for russians
    .

    **
    .
    WotR: THE SHELL GAME: FUELING A FUTURE WAR IN THE PACIFIC

    **

    Will Hurd, Trump Is Being Manipulated by Putin. What Should We Do?

    By playing into Vladimir Putin’s hands, the leader of the free world actively participated in a Russian disinformation campaign that legitimized Russian denial and weakened the credibility of the United States to both our friends and foes abroad.

    **

    Nicolle Wallace Bursts Out Laughing as Jonathan Swan Talks WH Confusion: ‘No One Really Knows Anything’

    Axios’ Jonathan Swan broke down how things are, um, movin’ right along in the White House at the end of this very chaotic week, but the way he described it was just too much for Nicolle Wallace.

    Wallace brought up how Dan Coats sounded “unshackled” yesterday and asked, “What is the collective feeling among the White House staff about the fact that Donald Trump’s own appointees, who head arguably the most important government agencies… are no longer pretending that Donald Trump isn’t ridiculous?”

    Swan noted how some officials are still “pretty buttoned up,” citing DHS Sec. Kirstjen Nielsen, before telling Wallace the following:

    “We’re finding more and more often that when we talk to people who work in the White House or at a senior level in the administration is we’ll ask them why did Trump do this thing, whatever it might be… In the early days of the administration, you could expect an answer that rationalizes, tells your game theory and whatever. Now they’re just like [makes an ‘I dunno’ noise].”

    Wallace burst out laughing and Swan made the noise a few more times before saying, “They’ve stopped bothering trying to explain him.”

    Game theory, see?

    But you can hear that laugh, and Swan’s noise, at Mediaite, though I can’t find a way to bring the video here — if I could, I’d have a marbelous DoubleQuote with Andrea Mitchell‘s interview with Dan Coats and the interruption by a White House tweet:

    A DoubleLaugh!

    Snap!

    GeoPol, the White House & Game Theory in the New Yorker

    Wednesday, July 4th, 2018

    [ by Charles Cameron — popularizing game theory as a means of understanding significant currents in world affairs ]
    .

    You may pick up a few details about the origins of game theory and Prisoners Dilemma, but apart from that, the basic outlines offered by two Bew Yorker articles won’t contain too many surprises. What’s interesting is the role the New Yorker plays as a disseminator of knowledge: game theory, if I may put it this way, is joining the wider conversation.

    **

    In May this year, the New Yorker carried John Cassidy‘s piece, How Game Theory Explains the Leaks in the Trump White House.

    Here’s the game theoretical background:

    In 1950, Albert Tucker, a mathematician at Princeton, gave a talk to a group of Stanford psychologists about the rapidly developing science known as game theory. To illustrate one of his arguments, he invented a story about two criminals who had been arrested for a crime they had committed jointly.

    In the story, the police interrogate the two prisoners separately. The prisoners have no means of communicating with each other, but they both understand that, if they each deny the crime, they will be charged with a much less serious offense, which carries a short prison sentence (one year, say). If they both confess, they will get a heavier punishment (five years). If one confesses to the crime and the other insists that he is innocent, the one who confesses will be let off, and his accomplice will get an even heavier punishment (ten years). Tucker posed the question: Should the men confess or deny?

    When first confronted with this story, many people think that both criminals should insist on their innocence and escape with a minor conviction. The problem is that mutual denial isn’t consistent with individual self-interest. Take the first prisoner. If he believes that his accomplice is going to deny the crime, he can confess and get off scot-free. If he believes that his accomplice is going to confess, he should certainly confess, too, or he will end up receiving the heaviest punishment of all. In the language of game theory, confessing is a “dominant strategy.” Regardless of which strategy the other players adopt, it is the most rational option to choose. But it ends up producing a bad outcome for both players: five years in prison. If they had both stuck to mutual denial, they would have got just one year.

    Then, the political application:

    What does all this have to do with the Trump White House? Quite a lot, it turns out.

    The issue is White House leaks, and game theory can explain the why of them:

    Ever since Trump became President, the White House has leaked like a sieve. “The leaks come in all shapes and sizes: small leaks, real-time leaks, weaponized leaks, historical leaks,” Jonathan Swan, Axios’s White House correspondent, wrote this week. “Sensitive Oval Office conversations have leaked, and so have talks in cabinet meetings and the Situation Room. You name it, they leak it.” Mike Allen, Swan’s colleague at Axios, says, “we learn more about what’s going on inside the Trump White House in a week than we did in a year of the George W. Bush presidency.”

    That may well be true, and game theory provides one explanation. By deliberately creating a factionalized, dog-eat-dog culture inside the White House, one that mimics how he ran his business and the premise of his reality-television show, Trump has turned the people who work for him into White House versions of the prisoners in Tucker’s story. With this in mind, it is to be expected that so many White House staffers would take actions that are damaging to the Administration, such as leaking explosive information.

    One description of the internal conflicts in the WHite House:

    “You have to realize that working here is kind of like being in a never-ending ‘Mexican Standoff,’ ” a White House official explained to Swan. “Everyone has guns (leaks) pointed at each other and it’s only a matter of time before someone shoots. There’s rarely a peaceful conclusion so you might as well shoot first.”

    The questionably named Mexican standoff, in which several bandits with guns confront each other at close quarters, is just another version of the prisoners’ dilemma. Imagine yourself in the unfortunate position of being a White House official. If you believe your rivals are about to leak some damaging information, getting it out first is a rational form of self-defense. But, even if you don’t think a rival leak is coming, there is an incentive to spread damaging information about your opponents. Just like confessing, leaking is a dominant strategy.

    So, Mexican Standoff, Prisoners Dilemma. The impossible solution?

    In terms of game theory, you need to alter the rewards and punishments that individual staffers perceive to be attached to their actions, so that coöperation, rather than backstabbing, emerges as an equilibrium strategy.

    And Cassidy’s conclusiom:

    The prisoners’ dilemma illustrates how the process works. But, in this case, it could be renamed the Trump dilemma. He created it.

    **

    Okay, the second New Yorker piece, by Adam Davidson, Is Michael Cohen Turning on Donald Trump? — dated July 2nd, which triggered this post:

    Trump’s former attorney Michael Cohen appears to be playing out the Prisoner’s Dilemma with the President in the most public and consequential way possible.

    The most famous game-theory formula was developed in 1950, by two mathematicians, Melvin Dresher and Merrill Flood. But it was only later that another mathematician gave it the catchy name that made it famous: the Prisoner’s Dilemma. The idea is simple: two accused criminals have been arrested and are being interrogated separately. If they both stay silent, they’ll both get a year in jail. But, if one rats out the other, he could get away scot-free while his accomplice would spend three years in jail. The optimal outcome, in terms of total time served, is for both to remain silent. But, as Drescher and Flood posited, there is enormous likelihood that each will rat out the other. There are endless variations of the formula, tweaking the costs and benefits of silence and confession, but the core insight remains: if two people whose interests are mutually dependent on the actions of the other don’t fully trust each other, and don’t have the opportunity to secretly coördinate, they will end up behaving in ways that hurt both of them.

    President Donald Trump and his former attorney Michael Cohen are currently playing out the Prisoner’s Dilemma in the most public and consequential way possible

    That’s enough to get you started.

    **

    And my motive for writing this post? As I said in On two, one, seven plus or minus, and ten – towards infinity:

    When I worked as senior analyst in a tiny think-shop, my boss would often ask me for an early indicator of some trend. My brain couldn’t handle that — I always needed two data points to see a pattern, and so I coined the mantra for myself, two is the first number.

    These twin New Yorker articles mark a tidal level in the dissemination of knowledge: political scientists andd strategists already know this stuff, but the New Yorker now feels that bright orchestral musicians, humanities teachers, and media mavens, charity workers and foreign affairs correspondents — a few quick guesses at their readership, which must be large and various — are ready and thirsty to add it to their cconceptual vocabulary. That’s a quietly interesting marker in itself.

    **

    Oh ah, the New Yorker on July 2 also had a piece titled Will North Korea Play Nuclear Hide-and-Seek with Trump?. I suppose I’d best be on the loookout for other hide-and-seek references. Irony, n’dst ce pas?.


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