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Historical footnotes to game theory

Sunday, August 21st, 2011

[ by Charles Cameron — philosophy, psychology, history, game theory, dilemma, commons cooperation, analogy, 9/11 ]

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I have an interest in game theory that is much like my interest in music: I can’t play, but I can whistle. And so it is that I’ve substituted curiosity about the history of the thing, and whatever analogical patterns I can discern there, for any actual ability at the thing itself.

Somewhere in my analogy-collector’s mind, then, I have these two quotes, cut from the living tissue of their writer’s thoughts, and prepped fpor contemplation. I find them, in retrospect, quite remarkable.

Jean-Jacques Rousseau, in On the Inequality among Mankind, wrote:

Such was the manner in which men might have insensibly acquired some gross idea of their mutual engagements and the advantage of fulfilling them, but this only as far as their present and sensible interest required; for as to foresight they were utter strangers to it, and far from troubling their heads about a distant futurity, they scarce thought of the day following. Was a deer to be taken? Every one saw that to succeed he must faithfully stand to his post; but suppose a hare to have slipped by within reach of any one of them, it is not to be doubted but he pursued it without scruple, and when he had seized his prey never reproached himself with having made his companions miss theirs.

And David Hume, in A Treatise of Human Nature:

Your corn is ripe today; mine will be so tomorrow. ‘Tis profitable for us both that I shou’d labour with you today, and that you shou’d aid me tomorrow. I have no kindness for you, and know that you have as little for me. I will not, therefore, take any pains on your account; and should I labour with you on my account, I know I shou’d be disappointed, and that I shou’d in vain depend upon your gratitude. Here then I leave you to labour alone: You treat me in the same manner. The seasons change; and both of us lose our harvests for want of mutual confidence and security.

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Those two, I believe, are fairly well known – I was delighted the other day to run across a third sample for my collection. William James, in The Will to Believe, writes:

Wherever a desired result is achieved by the co-operation of many independent persons, its existence as a fact is a pure consequence of the precursive faith in one another of those immediately concerned. A government, an army, a commercial system, a ship, a college, an athletic team, all exist on this condition, without which not only is nothing achieved, but nothing is even attempted. A whole train of passengers (individually brave enough) will be looted by a few highwaymen, simply because the latter can count on one another, while each passenger fears that if he makes a movement of resistance, he will be shot before any one else backs him up. If we believed that the whole car-full would rise at once with us, we should each severally rise, and train-robbing would never even be attempted.

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The first two quotes are of interest as showing the forms that an idea which will later be mathematized can take.  They are, if you like, precursors of game theoretic constructs, although neither Hume nor Rousseau appears to be mentioned in von Neumann and Morgenstern‘s Theory of Games and Economic Behavior.

The third, I think, is even more interesting..  Consider the eerie and heroic “fulfillment” of that third paragraph if read “as prophecy” – in this account from the 9/11 Commission Report of the events on United Flight 93:

During at least five of the passengers’ phone calls, information was shared about the attacks that had occurred earlier that morning at the World Trade Center. Five calls described the intent of passengers and surviving crew members to revolt against the hijackers. According to one call, they voted on whether to rush the terrorists in an attempt to retake the plane. They decided, and acted. At 9:57, the passenger assault began. Several passengers had terminated phone calls with loved ones in order to join the revolt. One of the callers ended her message as follows:

“Everyone’s running up to first class. I’ve got to go. Bye.” The cockpit voice recorder captured the sounds of the passenger assault muffled by the intervening cockpit door.

Yesterday’s highwayman is today’s hijacker, yesterday’s train is today’s plane…

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If there’s anything to be learned here, it’s not a novel way of protecting trains or aircraft from passengers of malicious intent —

It’s that there’s a subtle thread running from something akin to instinct that’s also close to unspoken common sense, surfacing for a moment in the writings of thoughtful individuals, leading on occasion to the formulation of exact mathematical principles — but also (i) available, (ii) in the human repertoire, (iii) to be acted upon, (iv) cooperatively, (v) as required, (vi) via the medium of human common interest, (vii) which provides the resultant trust.

Which may in turn offer some reason for hope — for a humanity in various forms of communal distress…

Formats for civil online debate II — inspired by Hesse’s Bead Game

Tuesday, August 16th, 2011

[ by Charles Cameron — hypertext, rhetoric, glass bead games, civility ]

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My second attempt at a format for online debate is, as I said, a variant on the “Dart Board” sometimes used for playing my HipBone Games (see, for instance, my solo game War is Sexy, says Dawn).

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The idea here would be to format a blog post and series of 7 comments by a Querent (the one with the Question) who may also be the Umpire — both roles would be issue-neutral — a Proponent who would propose and support a thesis, and an Antagonist who would oppose it.And I should add, right at the outset, that this is a formal process for the named participants — as a white tie debate at the Oxford Union is a formal process — no matter how raucus the kibitzers may get, and accordingly requires a day or two between moves to allow for consideration, research and preparation.
dartbdwhitedebatesetup.png

The Querent makes the first move in the first position on the board, giving it short move title (short enough to be typed on the board graphic in the space currently occupied by the word “issue‘) and a paragraph or so of move content setting forth concisely the issue to be discussed — ideally via an issue neutral anecdote or quote. After each move, the Querent (or a graphically inclined observer) would ideally update and post the game board after inserting the relevant move title.

[ Those who are not among the named participants may of course kibitz at any time… ]

The Proponent next carefully chooses a pithy quote or anecdote, gives it a move title (as above), and posts the move title, the chosen move content (the anecdote or quote selected), the link claimed (setting forth concisely the nature of his or her argument as it relates to the move content of the Querent‘s issue), and if she or he so chooses, a comment (the comments in a HipBone Game are intended for meta-conversations among the various players).

The Antagonist then similarly chooses an anecdote or quote, and posts move title, move content, links claimed — in this case, showing the links with both the issue as stated at position 1 in the Querent’s move, and the thesis as stated in position 2 in the Proponent’s move — and a comment if so desired.

Okay, that’s thesis and antithesis, the Umpire then posts a move title, some move content and links claimed to all three positions in play, with a comment if so desired, in the fourth position (labeled synthesis).

The rule is that whenever playing in a position which links via a board line to one or more previous moves, the links claimed must include explanations of how the move relates to those previous moves.

The Antagonist plays next in position 5 — playing move title, move content, links claimed, comment — providing an instance with which to dispute the thesis, and linking as per the rule just stated to the thesis proposed at position 2 — only!

Since position 5 is only connected to position 2 of those positions in play, no other links should be claimed.

Similarly, the protagonist then plays in position 6, a move which I’ve called the “prothetical” instance without a clue as to whether prothetical is a real word — tho’ I like it — linking only to the antithesis in position 2, which it seeks to refute.

Move 7 is by far the trickiest of the game, and is made by the Umpire, who now has to provide move content that synthesizes the game thus far, explaining links claimed to positions 2, 3, 4, 5 and 6 (ie to the original thesis, antithesis and synthesis, but moving the synthesis to encompass also the two instances)…

But the Umpire can take consolation in the fact that in the final move 8, the Querent gets to raise afresh those questions which remain — now that both sides have had their say, and the Umpire has attempted reconcile them.

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Three quotes, the first one on debate:

Harmony among conflicting viewpoints, not the victory of one of them, should be the ultimate goal…

— from Bizell & Herzberg, The Rhetorical Tradition, as quoted here

The second moving from debate to dialog:

One way of helping to free these serious blocks in communication would be to carry out discussions in a spirit of free dialogue. Key features of such a dialogue is for each person to be able to hold several points of view, in a sort of active suspension, while treating the ideas of others with something of the care and attention that are given to his or her own. Each participant is not called on to accept or reject particular points of view; rather he or she should attempt to come to understanding of what they mean.

David Bohm, Science Order and Creativity, p 86

And the third, from Buddhist Madhyamika philosophy, moving into the contemplative realm where all answers are seen as the stepping off points for open questions:

I wanted to use one word in Tibetan that I’ve found very useful for myself… and this is the word zöpa.. this translates usually as patience or endurance or tolerance, but there’s this very subtle translation of zöpa, which is the ability to tolerate emptiness basically, which is another ways of saying the ability to tolerate that things don’t exist in one way, that things are so full and infinite and leave you so speechless, and so undefinably grand – and these are just descriptive words, but you have to use some words to communicate, I guess — the ability bear that, that fullness, like we’ve been talking about, not turning away, not turning away.

Elizabeth Mattis-Namgyel, in (if I recall) a Shambhala-sponsored retreat video

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A blank Dart board, downloadable for your convenience:

dartbdwhitedebateblank.png

Formats for civil online debate I – inspired by the Talmud

Monday, August 15th, 2011

[ by Charles Cameron — hypertext, rhetoric, Talmud, civility ]

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I have been thinking quite a bit recently about formats for online debate, and posted a comment on Jean Goodwin‘s blog yesterday, in which I commented on the Talmudic page (see R Eliezar Segal‘s excellent hypertext version for an explanation of how it works). It’s a topic that has interested me since before the turn of the millennium, and one I’ve discussed and prototyped a bit in some of Howard Rheingold‘s class forums.

Yesterday in my comment on JG’s blog, I said:

My guiding principle here is that devising suitable forms may well elevate the content poured into them…

I said this because, in my view, constraint facilitates excellence.

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Part of the key here is captured very nicely in this quote from Jean Toomer:

In this multiple simultaneous world words only dole out one thing at a time.

So we need polyphony, we need forms that capture many voices, many points of view, the perspectives of many stakeholders, simultaneously — not a linear progression from premise to conclusion.  And since we’re talking argumentation here, this simultaneity can be captured in a graphical form, as in this diagram based on Toulmin:

toulmin-example.gif

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In that spirit, I thought I’d post a couple of my own experimental formats.  The first is based fairly closely on the Talmudic page — and I put it together in March of this year, so things in Libya have moved along a bit since then, though not quite enough as yet:

libyan-talmudsm.gif

My second format is a variant on the “Dart Board” sometimes used for playing my HipBone Games (see, for instance, my solo game War is Sexy, says Dawn).

I shall present it in a follow up post of its own.

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For your convenience, here’s a blank template for the kind of Talmudic debate-page I used above, available for download.  It can be filled with any graphical software that allows text and a choice of fonts & sizes.  I recommend using larger type for the main text, medium for the commentary, and small print for annotations and footnotes:

libyan-talmudsm-blank.png

2083 — the 36 Stratagems

Wednesday, July 27th, 2011

[ by Charles Cameron — analysis of “deceptive means” in 2083 manifesto / borrowings from Chinese 36 Stratagems ]

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I don’t know if anyone has commented on this yet, and a quick search proved inconclusive — but section 3.40 of Anders Breivik‘s 2083 manifesto, “Applying deceptive means in urban guerrilla warfare” (pp. 925-930) contains a number of tricks drawn from the Chinese “Thirty-Six Stratagems” – without, I believe, an acknowledgment. These are:

4. Make a sound in the east, then strike in the west
5. Hide a knife behind a smile
6. Sacrifice the plum tree to preserve the peach tree
7. Take the opportunity to pilfer a goat
8. Do not startle the snake by hitting the grass around it
9. Borrow a corpse to resurrect the soul
10. In order to capture, one must let loose
11. Avoid the servant forces and go for the neck of their chiefs
12. Befriend a distant state while attacking a neighbour
13. Replace the beams with rotten timbers
14. Make the host and the guest exchange roles

I imagine there are other readers here more familiar with this material than I, so I’ll just post a few quick notes and express the hope that others will chime in.

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Breivik doesn’t name it as such, but in fact his first “deceptive means” is the Chinese first stratagem, Deceive the heavens to cross the ocean.  Breivik writes:

Always mask your real goals, by using the ruse of a fake goal that everyone takes for granted, until the real goal is achieved. Tactically, this is known as an ‘open feint’; in front of everyone, you point west, when your goal is actually in the east. By the time everyone realised it, you have already achieved your goal.

Compare the closely similar Wikipedia text accompanying this stratagem:

This stratagem means that you can mask your real goals, by using the ruse of a fake goal that everyone takes for granted, until the real goal is achieved. Tactically, this is known as an ‘open feint’; in front of everyone, you point west, when your goal is actually in the east. By the time everyone realised it, you have already achieved your goal.

Breivik uses the variant Do not startle the snake by hitting the grass around it rather than Stomp the grass to scare the snake which is the primary version in Wikipedia — Wikipedia’s source apparently has both.

Borrow a corpse to resurrect the soul is an interesting stratagem:

Take an institution, a technology, a method, or even an ideology that has been forgotten or discarded and appropriate it for your own purpose. Revive something from the past by giving it a new purpose or bring to life old ideas, customs, or traditions and reinterpret them to fit your purposes.

Isn’t that what Breivik is doing with the Knights Templar?

And lastly, Avoid the servant forces and go for the neck of their chiefs appears to be Breivik’s variant on the Chinese Defeat the enemy by capturing their chief – his wording perhaps influenced by the Qur’an (sura Muhammad) 47.4 “So when you meet in battle those who disbelieve, then smite the necks until when you have overcome them”.  I imagine that’s a verse he’d have encountered often enough.

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Someone with the appropriate background should do a more thorough job of checking out these particulars, tracking down exactly which text Breivik seems to be borrowing from, etc.  Comments and corrections are welcome.

2083 Graphics — a couple of details

Tuesday, July 26th, 2011

[ by Charles Cameron – graphic from 2038 manifesto compared with UBL martyr graphic & US “hunting permit” ]

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I should say first off that I am grateful to Chris Anzalone aka Ibn Siqilli for his “In Pictures” series of posts of Islamist and related graphics, and especially his “martyrsseries, all which inspired my own first post on 2038 graphics a couple of days back.

It was his post on “Usama bin Laden, the Martyr, As Seen in Jihadi-Takfiri Artwork” today that gave me the idea for this post, when I noticed something familiar-but-different in one of the bin Laden graphics, and went back to check the portraits of Anders Breivik at the end of the 2083 manifesto.

Let’s call this pair of images Symbolic Analogy:

dq-symbolic-analogy.jpg

Once you start looking at the details, of course, other things pop out…

Like these two Hunting Permits:

dq-hunting-permits.jpg

As they say on this eHow page on How To Identify Military Insignia:

Military insignia make for good collector’s items because there are a variety of patches and badges, many with interesting, funny or bizarre imagery. If you happen to inherit some insignia, or a patch at a flea market or antique store catches your eye, identifying your treasure could take some work. Before you take your insignia for a professional appraisal, see if you can figure out what it is on your own. …

Examine your military insignia and note every detail. Figure out what the imagery is, whether you are looking at a pirate or unicorn, and whether it is a fabric patch or metal badge. Take special notice of any text or numbers on your insignia, even if you can’t understand them.


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