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<!--
THE WISDOM AND/OR MADNESS OF CROWDS
by Nicky Case | apr 2018
MY "WHY" FOR MAKING THIS:
+ to build a foundation for further curiosity about networks, group dynamics
+ to practice teaching with problem-solving, a pre-req for skills
+ to instill transcendent sense of "fundamentally people", of Humanity's Brain <3
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<!-- The chapters -->
<div chapter="Introduction">
<span>0</span>
<span>0. Introduction</span>
</div>
<div chapter="Networks">
<span>1</span>
<span>1. Connections</span>
</div>
<div chapter="Simple">
<span>2</span>
<span>2. Contagions</span>
</div>
<div chapter="Complex">
<span>3</span>
<span>3. Complex Contagions</span>
</div>
<div chapter="BB">
<span>4</span>
<span>4. Bonding &amp; Bridging</span>
</div>
<div chapter="SmallWorld">
<span>5</span>
<span>5. It's A Small World</span>
</div>
<div chapter="Conclusion">
<span>6</span>
<span>6. In Conclusion...</span>
</div>
<div chapter="Credits">
<span>7</span>
<span>7. Credits</span>
</div>
<div chapter="Sandbox">
<span></span>
<span>★ Sandbox Mode! ★</span>
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<div style="font-size: 30px;">
<span>the</span>
<br>
<span style="font-size: 60px;letter-spacing: 4px;">WISDOM</span>
<span style="position:relative;top: -10px;">and/or</span>
<span style="font-size: 60px;">MADNESS</span>
<br>
<span style="position: relative;top: -11px;">of</span>
<br>
<span style="font-size: 100px;line-height: 80px;position: relative;top: -15px;">CROWDS</span>
</div>
<div style="color:#999">
playing time: 30 min • by nicky case, april 2018
</div>
</words>
<words id="preloader_button">
<next></next>
</words>
<words id="preloader_loading">
loading...
</words>
<words id="preloader_play">
let's play! &rarr;
</words>
<!-- Introduction -->
<words id="intro">
<br><br>
Sir Isaac Newton was pretty sure he was a
<br>
smart cookie. I mean, after inventing calculus and
<br>
a theory of gravity, he should be clever enough to do
<br>
some financial investing, right? Anyway, long story short, he
<br>
lost $4,600,000 (in today's dollars) in the nationwide
<br>
speculation frenzy known as the South Sea Bubble of 1720.
<br><br>
As Mr. Newton later said: <i>“I can calculate the motion of
<br>
heavenly bodies, but not the madness of people.”</i>
<next>yeah sucks for him &rarr;</next>
</words>
<words id="intro_2">
<div style="height:0.5em"></div>
Of course, that's not the only
<br>
time markets, institutions, or entire
<br>
democracies went haywire &mdash; the <i>madness</i> of
<br>
crowds. And yet, just when you lose hope in humanity,
<br>
you see citizens coordinating to rescue each other in
<br>
hurricanes, communities creating solutions to problems,
<br>
people fighting for a better world &mdash; the <i>wisdom</i> of crowds!
<div style="height:0.9em"></div>
<b>But <i>why</i> do some crowds turn to madness, or wisdom?</b> No theory
<br>
can explain everything, but I think a new field of study,
<br>
<b>network science</b>, can guide us! And its core idea is this: to
<br>
understand crowds, we should look not at the <i>individual
<br>
people</i>, but at...
<next>...their <i>connections.</i> &rarr;</next>
</words>
<!-- Networks -->
<words id="networks_tutorial_start">
<b>Let's draw a network!</b>
Each connection represents a friendship between two people:
</words>
<words id="networks_tutorial_connect">
draw to connect
</words>
<words id="networks_tutorial_disconnect">
scratch to&nbsp;&nbsp;&nbsp;disconnect
</words>
<words id="networks_tutorial_end">
when you're done doodling and playing around,
<next wiggle>let's continue &rarr;</next>
</words>
<words id="networks_threshold">
Now, social connections are for more than just making pretty pictures.
People <i>look to</i> their social connections to understand their world.
For example, people look to their peers to
find out <b>what % of their friends</b> (not counting themselves) are,
say, binge-drinkers. <icon yellow></icon>
</words>
<words id="networks_threshold_instruction">
<b>Draw/erase connections, and see what happens! &rarr;</b>
</words>
<words id="networks_threshold_end">
<next>cool, got it</next>
</words>
<words id="networks_pre_puzzle">
However, networks can <i>fool</i> people.
Just like how the earth seems flat because we're on it,
people may get wrong ideas about society because they're <i>in</i> it.
<bon id="connections"></bon>
<br>
For example, a 1991 study<ref id="drunk"></ref> showed that
“virtually all [college] students reported that their friends drank more than they did.”
But that seems impossible!
How can that be?
Well, you're about to invent the answer yourself, by drawing a network.
It's time to...
<next>FOOL EVERYONE &rarr;</next>
</words>
<words id="optional_reading">
<div style="position:absolute; top:-5px;">
<i>optional</i> extra bonus notes! &uarr;
</div>
<div style="position:absolute; left:216px; top:10px;">
&darr; links and references
</div>
</words>
<words id="networks_puzzle">
<b style="font-size:2em">PUZZLE TIME!</b>
<br>
Fool <i>everyone</i> into thinking
the majority of their friends (50% threshold) are binge-drinkers <icon yellow></icon>
(even though binge-drinkers are outnumbered 2-to-1!)
</words>
<words id="networks_puzzle_metric">
<b>FOOLED:</b>
</words>
<words id="networks_puzzle_metric_2">
out of 9 people
</words>
<words id="networks_puzzle_end">
Congrats! You manipulated a group of students into believing
in the prevalance of an incredibly unhealthy social norm! Good going!
<next wiggle>...uh. thanks?</next>
</words>
<words id="networks_post_puzzle">
What you just created is called The Majority Illusion<ref id="majority"></ref>,
which also explains why people think their political views are consensus,
or why extremism seems more common than it actually is.
<i>Madness.</i>
<bon id="books"></bon>
But people don't just passively <i>observe</i> others' ideas and behaviors,
they actively <i>copy</i> them.
So now, let's look at something network scientists call...
<next>“Contagions!” &rarr;</next>
</words>
<!-- Simple Contagions -->
<words id="simple_simple">
<i>Let's put aside the "threshold" thing for now.</i>
Below: we have a person <icon red></icon> with some information.
Some <i>mis</i>information. "Fake news", as the cool kids say.
And every day, that person spreads the rumor, like a virus, to their friends.
And they spread it to <i>their</i> friends. And so on.
<br>
<b>
Start the simulation! &darr;
(p.s: you can't draw <i>while</i> the sim's running)
</b>
</words>
<words id="simple_simple_2">
Note: despite the negative name, "contagions" can be good or bad (or neutral or ambiguous).
There's strong statistical evidence<ref id="contagion"></ref> that
smoking, health, happiness, voting patterns, and cooperation levels
are all "contagious" --
and even some evidence that suicides<ref id="suicides"></ref> and mass shootings<ref id="shootings"></ref> are, too.
</words>
<words id="simple_simple_end">
<next wiggle>well that's depressing &rarr;</next>
</words>
<words id="simple_cascade">
Indeed it is.
Anyway, <b>PUZZLE TIME!</b>
<br>
Draw a network &amp; run the simulation,
so that <i>everyone</i> gets infected with the "contagion".
<br>
(new rule: you can't cut the <i>thick</i> connections)
</words>
<words id="simple_cascade_end">
<next wiggle>fan-flipping-tastic &rarr;</next>
</words>
<words id="simple_post_cascade">
This madness-spreading is called an <b>"information cascade"</b>.
Mr. Newton fell for such a cascade in 1720.
The world's financial institutions fell for such a cascade in 2008.<ref id="subprime"></ref>
<br><br>
However: <i>this simulation is wrong.</i>
Most ideas <i>don't</i> spread like viruses.
For many beliefs and behaviors, you need to be "exposed" to the contagion more than just once
in order to be "infected".
So, network scientists have come up with a new, better way to
describe how ideas/behaviors spread, and they call it...
<next wiggle><i>Complex</i> Contagions!” &rarr;</next>
</words>
<!-- Complex Contagions -->
<words id="complex_complex">
Let's bring back "thresholds", and the binge-drinking <icon yellow></icon> example!
When you played with this the first time, people didn't change their behavior.
<br><br>
Now, let's simulate what happens if people <i>do</i> start drinking
<i>when 50%+ of their friends do!</i>
<b>Before you start the sim, ask yourself what you think <i>should</i> happen.</b>
<br><br>
<b>Now, run the sim, and see what actually happens! &rarr;</b>
</words>
<words id="complex_complex_2">
<span style="line-height:1.3em">
Unlike our earlier "fake news" <icon red></icon> contagion,
this contagion <icon yellow></icon> does <i>not</i> spread to everyone!
The first few people get "infected", because although they're only exposed to one
binge-drinker, that binge-drinker is 50% of their friends. (yeah, they're lonely)
In contrast, the person near the end of the chain did <i>not</i> get "infected",
because while they were exposed to a binge-drinking friend,
they did not pass the 50%+ threshold.
<div style="height:0.75em"></div>
The <i>relative</i> % of "infected" friends matters.
<i>That's</i> the difference between the <b>complex contagion</b> theory,
and our naive it-spreads-like-a-virus <b>simple contagion</b> theory.
(you could say "simple contagions" are just contagions with a "more than 0%" infection threshold)
<div style="height:0.75em"></div>
However, contagions aren't necessarily bad &mdash;
so enough about crowd <i>madness</i>, what about...
<next>...crowd <i>wisdom?</i></next>
</span>
</words>
<words id="complex_complex_3">
Here, we have a person <icon blue></icon> who volunteers to... I don't know,
rescue people in hurricanes, or tutor underprivileged kids in their local community, or something cool like that.
Point is, it's a "good" complex contagion.
This time, though, let's say the threshold is only 25% &mdash;
people are willing to volunteer, but only if 25% or more of their friends do so, too.
Hey, goodwill needs a bit of social encouragement.
<br><br>
<b>&larr; Get everyone "infected" with the good vibes!</b>
</words>
<words id="complex_complex_3_end">
<b>NOTE:</b> Volunteering is just <i>one</i> of many complex contagions!
Others include: voter turnout, lifestyle habits,
career choices, challenging your beliefs,
taking time to understand a issue deeply &mdash; basically, anything
that needs more than one "exposure", and some social encouragement.
<br><br>
(So what's an example of a <i>simple</i> contagion, that only needs one exposure to "infect" someone?
Usually: bits of trivia, like, "the possum has 13 nipples")
<br><br>
Now, to <i>really</i> show the power and weirdness of complex contagions, let's revisit...
<next>...an earlier puzzle &rarr;</next>
</words>
<words id="complex_cascade">
Remember this? This time, with a <i>complex</i> contagion <icon blue></icon>, it'll be a bit tougher...
<br>
<b>Try to "infect" everyone with complex wisdom! &darr;</b>
</words>
<words id="complex_cascade_feel_free">
(feel free to just hit 'start' and <i>try</i> as many solutions as you want)
</words>
<words id="complex_cascade_end">
<next wiggle>HOT DANG &rarr;</next>
</words>
<words id="complex_post_cascade">
Now, you may think that you just need to keep adding connections to spread any contagion,
"complex" or "simple", good or bad, wise or mad.
But is that really so? Well, let's revisit...
</words>
<words id="complex_post_cascade_end">
<next wiggle>...another earlier puzzle &rarr;</next>
</words>
<words id="complex_prevent">
If you hit "start" below, the complex contagion <icon blue></icon> will just spread to everyone.
No surprise there.
But now, let's do the <i>opposite</i> of everything we've done before:
<b>draw a network to <i>prevent</i> the contagion from spreading to everyone! &darr;</b>
</words>
<words id="complex_prevent_2">
You see?
While more connections will always help the spread of <i>simple</i> ideas,
<b>more connections can hurt the spread of <i>complex</i> ideas!</b>
(makes you wonder about the internet, hm?)
And this isn't just a theoretical problem. This can be a matter of life...
</words>
<words id="complex_prevent_end">
<next wiggle>...or death. &rarr;</next>
</words>
<words id="complex_groupthink">
The people at NASA were smart cookies.
I mean, they'd used Newton's theories to get us to the moon.
Anyway, long story short, in 1986,
<i>despite warnings from the engineers</i>,
they launched the <i>Challenger</i>,
which blew up and killed 7 people.
The immediate cause:
it was too cold that morning.
<div style="height:0.9em"></div>
The less immediate cause: the managers ignored the engineers' warnings.
Why? Because of <b>groupthink</b><ref id="groupthink"></ref>.
When a group is <i>too</i> closely knit, (as they tend to be at the top of institutions)
they become resistant to complex ideas that challenge their beliefs, or ego.
<div style="height:0.9em"></div>
So, that's how institutions can fall to crowd madness.
But how can we "design" for crowd <i>wisdom?</i>
In short, two words:
<next>Bonding &amp; Bridging &rarr;</next>
</words>
<!-- Bonding & Bridging -->
<words id="bonding_1">
&larr; Too few connections, and an idea can't spread.
<br>
Too many connections, and you get groupthink. &rarr;
</words>
<words id="bonding_2">
<b>
Draw a group that hits the sweet spot:
just connected enough to spread a complex idea!
&darr;
</b>
</words>
<words id="bonding_end">
Simple enough!
The number of connections <i>within</i> a group is called <b>bonding social capital</b><ref id="social_capital"></ref>.
But what about the connections...
<next wiggle>...<i>between</i> groups?</next>
</words>
<words id="bridging_1">
As you may have already guessed,
the number of connections <i>between</i> groups is called
<b>bridging social capital</b>.
This is important, because it helps groups break out of their insular echo chambers!
<br>
<b>Build a bridge, to "infect" everyone with complex wisdom:</b>
</words>
<words id="bridging_end">
Like bonding, there's a sweet spot for bridging, too.<ref id="bridge"></ref>
(extra challenge: try drawing a bridge so thick that the complex contagion
<i>can't</i> pass through it!)
Now that we know how to "design" connections <i>within</i> and <i>between</i> groups, let's...
<next wiggle>...do BOTH at the same time!</next>
</words>
<words id="bb_1">
<b style="font-size:2em">FINAL PUZZLE!</b>
<br>
Draw connections within groups (bonding) and between groups (bridging)
to spread wisdom to the whole crowd:
</words>
<words id="bb_2">
Congrats, you've just drawn a very special kind of network!
Networks with the right mix of bonding and bridging
are profoundly important, and they're called...
<next wiggle>“Small World Networks” &rarr;</next>
</words>
<words id="bb_small_world_1">
<i>"Unity without uniformity". "Diversity without division". "E Pluribus Unum: out of many, one".</i>
<br>
No matter how it's phrased,
people across times and cultures often arrive at the same piece of wisdom:
<b>
a healthy society needs a sweet spot of bonds <i>within</i> groups
and bridges <i>between</i> groups.
</b>
That is:
</words>
<words id="bb_small_world_2">
Not this...
<br>
(because ideas can't spread)
</words>
<words id="bb_small_world_3">
nor this...
<br>
(because you'll get groupthink)
</words>
<words id="bb_small_world_4">
...but <i>THIS:</i>
</words>
<words id="bb_small_world_5">
Network scientists now have a mathematical definition for this ancient wisdom:
the <b>small world network</b><ref id="small_world"></ref>.
This optimal mix of bonding+bridging describes how
our neurons are connected<ref id="swn_neurons"></ref>,
fosters collective creativity<ref id="swn_creativity"></ref>
and problem-solving<ref id="swn_social_physics"></ref>,
and even once helped US President John F. Kennedy (barely) avoid nuclear war!<ref id="swn_jfk"></ref>
So, yeah, small worlds are a big deal.
</words>
<words id="bb_small_world_end">
<next>ok, let's wrap this up... &rarr;</next>
</words>
<!-- Sandbox -->
<words id="sandbox_caption">
<b>NOTE: "Sandbox Mode" is totally optional!</b>
Feel free to skip it, or play around.<ref id="sandbox"></ref>
Whenever you're done, let's recap...
</words>
<words id="sandbox_next">
<next>what we learnt today!</next>
</words>
<words id="sandbox_contagion">
Contagion:
</words>
<words id="sandbox_contagion_simple">
simple
</words>
<words id="sandbox_contagion_complex">
complex
</words>
<words id="sandbox_color_chooser">
The Contagion's Color:
</words>
<words id="sandbox_tool_chooser">
Select a tool...
</words>
<words id="sandbox_tool_pencil">
Draw Network
</words>
<words id="sandbox_tool_add">
Add Person
</words>
<words id="sandbox_tool_add_infected">
Add "Infected"
</words>
<words id="sandbox_tool_move">
Drag Person
</words>
<words id="sandbox_tool_delete">
Delete Person
</words>
<words id="sandbox_tool_clear">
<b>CLEAR IT ALL</b>
</words>
<words id="sandbox_shortcuts_label">
(...or, use keyboard shortcuts!)
</words>
<words id="sandbox_shortcuts">
[1]: Add Person &nbsp;&nbsp;&nbsp; [2]: Add "Infected"
<br>
[Space]: Drag &nbsp;&nbsp;&nbsp; [Backspace]: Delete
</words>
<!-- Conclusion -->
<words id="conclusion_1">
<div style="font-size: 30px;">
IN CONCLUSION: it's all about...
</div>
<div style="
width: 100%;
position: absolute;
font-size: 88px;
top: 20px;
line-height: 100px;
">
Contagions &amp; Connections
</div>
<div style="
width: 710px;
position: absolute;
top: 125px;
left: 250px;
">
<b>Contagions:</b>
Like how neurons pass signals in a brain,
people pass beliefs &amp; behaviors in a society.
Not only do we influence our friends,
we also influence our friends' friends, and even our friends' friends' friends!<ref id="three_degrees"></ref>
(“be the change you wanna see in the world” etc etc)
But, like neurons, it's not just signals that matter, it's also...
</div>
<div style="
width: 710px;
position: absolute;
top: 275px;
left: 250px;
">
<b>Connections:</b>
Too few connections and complex ideas can't spread.
Too <i>many</i> connections and complex ideas get crushed by groupthink.
The trick is to build a small world network, the optimal mix of
bonding and bridging: <i>e pluribus unum.</i>
</div>
<div style="
width: 400px;
position: absolute;
top: 395px;
right: 0px;
text-align: right;
">
So, what about our question from the very beginning?
Why <i>do</i> some crowds turn to...
</div>
<div style="
width: 300px;
position: absolute;
top: 460px;
right: 0px;
">
<next>...wisdom and/or madness?</next>
</div>
</words>
<words id="conclusion_2">
<span style="line-height:1.4em;">
<div style="height:0.5em"></div>
From Newton to NASA to
<br>
network science, we've covered a lot here
<br>
today. Long story short, the madness of crowds
<br>
is not necessarily due to the <i>individual people</i>, but due
<br>
to how we're trapped in a network's sticky web.
<div style="height:0.9em"></div>
That <i>does NOT</i> mean abandoning personal responsibility, for
<br>
we're also the <i>weavers</i> of that web. So, improve your contagions:
<br>
be skeptical of ideas that flatter you<ref id="flatter"></ref>, spend time understanding
<br>
complex ideas. And, improve your connections: bond with similar
<br>
folk, but also build bridges across cultural/political divides.
<div style="height:0.9em"></div>
We can weave a wise web. Sure, it's harder than doodling
<br>
lines on a screen...
<next>...but so, so worth it.</next>
</span>
</words>
<words id="conclusion_3">
<i>
“The great triumphs and tragedies of history are caused,
not by people being fundamentally good or fundamentally bad,
but by people being fundamentally people.”
</i>
<br>
<span style="position:relative; top:5px">~</span> Neil Gaiman &amp; Terry Pratchett
<div style="height:0.8em"></div>
<next small>&lt;3</next>
</words>
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<words id="credits">
CREDITS
<br>
CREDITS
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CREDITS
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CREDITS
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CREDITS
<br>
<bon id="further_reading"></bon>
</words>
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<words id="WIN">
WIN
</words>
<words id="sim_start">
start simulation
</words>
<words id="sim_stop">
reset &amp; re-draw
</words>
<words id="translations_exist">
Fan-made translations:
</words>
<words id="translations_do_not_exist">
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What the, no fan-made translations exist yet?!
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<words id="translations_add">
(add your own!)
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<bonus id="books">
<h3>
A quick response to James Surowiecki's <i>The Wisdom of Crowds</i>
</h3>
<div>
<img src="sdas" width="200" height="300" style="float:left; margin-right:1em"/>
First off, I'm not dissing
<a target="_blank" href="https://en.wikipedia.org/wiki/The_Wisdom_of_Crowds">
this book.</a>
It's a good book, and Surowiecki was trying to tackle the same question I am:
<b>“why do some crowds turn to madness, or wisdom?”</b>
<br><br>
Surowiecki's answer: crowds make good decisions when everybody is as independent as possible.
He gives the story of a game at a county fair,
where the rabble were invited to guess the weight of an ox.
Surprisingly, the average of all their guesses <i>was better than any one individual guess</i>.
But, here's the rub: the people have to guess <i>independently</i> of each other.
If people knew the previous guesses before they put forth their own guess,
they'd be influenced by those guesses, and all the results would be skewed.
<br><br>
But... I don't think "make everyone be as independent as possible" is quite right.
Even geniuses, who we tend to mischaracterize as the most independent thinkers,
are actually influenced deeply by others. As Sir Isaac Newton said,
<i>“If I have seen further, it is by standing on the sholders of Giants.”</i>
<br><br>
So, which idea is correct?
Does wisdom come from thinking for yourself, or thinking with others?
As is usually the case with these kind of questions, the answer is: "yes".
<br><br>
So that's what I'll try to explain in this explorable explanation:
how to get that sweet spot between independence and interdependence &mdash;
that is, how to get a wise crowd.
</div>
</bonus>
<bonus id="connections">
<h3>
What other kinds of connections are there?
</h3>
<div>
For the sake of simplicity, all the simulations here only have one kind of connection,
friendship, and all the friendships are equally strong.
But there's other kinds of connections that network scientists think about!
For example:
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>Directional connections.</b> Alice is the boss of Bob, but Bob is not the boss of Alice.
Carol is the parent of Dave, but Dave is not the parent of Carol.
Therefore, "boss" &amp; "parent" are <i>directional</i> relationships:
the relationship only goes one way.
In contrast, "friends" is a <i>bidirectional</i> relationship:
the relationship goes both ways. (well, hopefully)
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>Weighted connections.</b> Elinor and Frankie are "friends", but not that close.
George and Harry are super-duper Best Friends Forever.
Even though there's a friendship connection in both cases, the second one is a stronger:
the connections have different "weights".
(The "weights" matter when we think about, say, how people influence each other.
Best Friends will influence each other more than casual acquaintances.)
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
Just remember: all the simulations in this game are wrong. The same way any map is "wrong".
You see the map on the left? Buildings aren't actually gray featureless blocks!
Words don't float above the city! However, maps are useful not <i>despite</i> being simplified,
but <i>because</i> they're simplified. Same goes for simulations, or any scientific theory.
Of <i>course</i> they're "wrong" &mdash; that's what makes them <i>useful</i>.
</div>
</bonus>
<bonus id="contagions">
<h3>
What other kinds of contagions are there?
</h3>
<div>
There's so, so many ways that network scientists can simulate "contagions".
I'm just picking the simplest one, for educational purposes.
But, for completeness, here's other ways you could simulate contagions:
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>Contagions with Randomness</b>. Instead of "if your friend is infected, you'll get infected",
you could simulate "if your friend is infected, you'll get infected <i>with an X% chance</i>".
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>People have different contagion thresholds.</b>
In this simulation, I'm pretending everyone has the same threshold for binge-drinking (50%) or
volunteering (25%) or misinformation (0%). That's not true in real life, of course,
and you could make your simulation reflect that.
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>An ecology of contagions.</b> This is actually cutting-edge research,
and I'm not entirely sure how one would do this.
In my simulations, only one contagion is spreading at a time.
But what if there were <i>multiple</i> contagions, with <i>different</i> thresholds?
For example, a simple "madness" contagion and a complex "wisdom" contagion.
If someone's infected with madness, can they still be infected with wisdom?
Or vice versa?
Can someone be infected with both?
<div style="clear:both"></div>
<br>
<img src="sdas" width="150" height="150" style="float:left; margin-right:1em"/>
<b>Contagions that mutate and evolve.</b>
Ideas don't pass perfectly from one person to another the way a virus genome does.
Like a game of Telephone, the message gets mutated with each re-telling.
Sometimes the mutant will be more contagious than the original!
And so, over time,
ideas "evolve" to be more digestible,
urban legends "evolve" to be more shocking,
habits and behaviors "evolve" to be more copy-able.
</div>
</bonus>
<bonus id="further_reading">
<h3>
Further Reading
</h3>
<div>
This explorable explanation was just a springboard for your curiosity,
so you can dive deeper into a vast pool of knowledge!
So, here's two of my favorite things on networks:
<br><br>
<img src="sdas" width="200" height="200" style="float:left; margin-right:1em"/>
<b>Book:</b>
<a target="_blank" href="http://www.connectedthebook.com/">
Connected</a>
by Nicholas Christakis and James Fowler (2009).
A layperson-friendly yet rigorous tour of how networks affect our lives,
for good and ill. They summarize the science, and also present some of their original findings,
like the "Three Degrees of Influence":
you affect not just your friends, but your friends' friends, and your friends' friends' friends!
<a target="_blank" href="http://www.connectedthebook.com/pdf/excerpt.pdf">
Here's a link to an excerpt.
</a>
<div style="clear:both"></div>
<br>
<img src="sdas" width="200" height="200" style="float:left; margin-right:1em"/>
<b>Interactive:</b>
<a target="_blank" href="http://worrydream.com/ScientificCommunicationAsSequentialArt/">
Collective Dynamics of Small World Networks</a>,
original paper by Watts &amp; Strogatz (1998),
turned into interactive visuals by Bret Victor in 2011.
Slightly technical, but it's a lot easier to understand when
paired with pictures you can play with!
<div style="clear:both"></div>
<br>
Alternatively, if you want to play more explorable explanations about society,
(and not necessarily about networks),
<b>check out these other interactives I've made!</b>
<br><br>
<img src="sdas" width="200" height="200" style="float:left; margin-right:1em"/>
<a target="_blank" href="https://mrpandey.github.io/d3graphTheory/">
The Evolution of Trust</a> by Nicky Case (2017).
This is a game about the game theory of how cooperation arises (or not).
You first play a game of trust,
then play a meta-game of that, then a meta-meta-game of that...
and discover what leads people to trust each other, or trust no one.
<div style="clear:both"></div>
<br>
<img src="sdas" width="200" height="200" style="float:left; margin-right:1em"/>
<a target="_blank" href="https://mrpandey.github.io/d3graphTheory/">
Parable of the Polygons</a> by Vi Hart and Nicky Case (2014).
A story about how harmless choices can create a harmful world.
Based off a Nobel Prize-winning game theorist's work,
this interactive shows how discrimination and diversity can arise from the bottom up.
</div>
</bonus>
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<!-- REFERENCES -->
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<reference id="drunk">
<h3>
“virtually all [college] students reported that their friends drank more than they did.”
</h3>
<div>
<a target="_blank" href="https://www.ncbi.nlm.nih.gov/pubmed/1758185">
“Biases in the perception of drinking norms among college students”</a> by Baer et al (1991).
The study finds that students greatly overestimate how much their peers drink.
And in other news, water is wet and sky is blue.
</div>
</reference>
<reference id="majority">
<h3>
“The Majority Illusion”
</h3>
<div>
<a target="_blank" href="http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0147617">
“The Majority Illusion in Social Networks”</a> by Lerman et al (2016).
In this paper, they found that the majority illusion is strongest in friendship networks
with “heterogeneous degree distribution and disassortative structure.”
Or, in Normal Human Words: when there are wide differences (heterogeneous)
in the # of friends each individual person has (degree),
and when low-friend people are friends with high-friend people (disassortative).
<br><br>
Another cool, related illusion:
<a target="_blank" href="https://www.economist.com/blogs/economist-explains/2013/04/economist-explains-why-friends-more-popular-paradox">
The Friendship Paradox</a>,
which is the empirical finding that, on average, your friends will have more friends than you do.
I always used to feel lonely... but now, I have a <i>mathematical</i> excuse for feeling lonely! Hooray!
</div>
</reference>
<reference id="contagion">
<h3>
“strong statistical evidence that
smoking, health, happiness, voting patterns, and cooperation levels
are all contagious”
</h3>
<div>
This is all laid out in Nicholas Christakis and James Fowler's
well-written, layperson-friendly book,
<a target="_blank" href="http://www.connectedthebook.com/">
Connected</a> (2009).
<br><br>
But how do they know that the friendships actually <i>cause</i> changes in health, happiness, etc,
rather than just being "mere" correlation?
They did two clever things:
<br><br>
1) They used the Framingham Heart Study dataset, which tracked thousands of people for <i>generations</i>.
The data showed that people were becoming friends first, and <i>then</i> becoming more similar.
It's true that similarities "cause" friendships (birds of a feather flock together),
but this proves that friendships "cause" similarities, too.
<br><br>
And 2) They found pairs of people where Person A named Person B as their friend,
but Person B did <i>not</i> name Person A as their friend. Awkward.
In those cases, they found that the "contagion" <i>only</i> flows in one direction.
This proves that, indeed, changes in health are caused by social influence,
rather than caused by external variables like, I dunno,
a new McDonald's opening up in Person A &amp; B's neighborhood.
</div>
</reference>
<reference id="suicides">
<h3>
“some evidence that suicides are [contagious], too”
</h3>
<div>
<a target="_blank" href="http://www.jstor.org/stable/42000514?seq=4#page_scan_tab_contents">
“Suicide Contagion and the Reporting of Suicide: Recommendations from a National Workshop”</a>
by O'Carroll et al (1994), endorsed by the frickin' Centers for Disease Control &amp; Prevention (CDC).
<br><br>
Here's what they found <i>increases</i> suicide-contagion:
repeated, sensationalist coverage,
reporting the exact step-by-step method of suicide,
presenting suicide as a means to effectively accomplish ends.
So, their CDC-endorsed recommendation to all news outlets: don't do that.
<br><br>
To the news outlets' credit, they've mostly adopted these guidelines on suicide-contagion.
But less so on mass-shooting-contagion.
See <a onclick='publish("reference/show", ["shootings"]);'>next footnote.</a>
</div>
</reference>
<reference id="shootings">
<h3>
“some evidence that mass shootings are [contagious], too”
</h3>
<div>
<a target="_blank" href="http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0117259">
“Contagion in Mass Killings and School Shootings”</a> by Towers et al (2015).
<br><br>
Just like how news outlets take caution in how they report suicides
in order to minimize the risk of suicide-contagion,
(see <a onclick='publish("reference/show", ["suicides"]);'>previous footnote</a>)
many journalists/criminologists are calling on news outlets to take more responsibility
in how they cover mass shootings,
in order to minimize the risk of murder-contagion.
<br><br>
See: the
<a target="_blank" href="http://www.dontnamethem.org/">
Don't Name Them</a> campaign,
which recommends that news outlets <i>NOT</i> give fame to mass shooters by airing their name, manifestos,
and social media profile bio &mdash;
and instead, focus on the victims, the first responders, the civilian heroes,
and the grieving &amp; healing community.
</div>
</reference>
<reference id="subprime">
<h3>
“The world's financial institutions fell for such a cascade in 2008.”
</h3>
<div>
<a target="_blank" href="https://newrepublic.com/article/63023/wall-streets-lemmings">
“Lemmings of Wall Street”</a> by Cass Sunstein, is a quick, non-technical read.
Published in Oct 2008, <i>during</i> the crash,
he looks at the whole mess through the lens of information cascades &amp; social psychology.
</div>
</reference>
<reference id="complex">
<h3>
“Complex contagions are weirder.”
</h3>
<div>
<a target="_blank" href="https://www.unc.edu/~fbaum/teaching/articles/Granovetter_AJS_1978.pdf">
“Threshold Models of Collective Behavior”</a> by Granovetter (1978)
was the first time, as far as I know, anyone described a "complex contagion" model.
Although: 1) he didn't name it "complex contagion",
and 2) the "thresholds" in his model are
based on absolute # of exposure, not relative % of exposure.
<a target="_blank" href="http://journals.plos.org/plosone/article?id=10.1371/journal.pone.0180802">
“Evidence for complex contagion models of social contagion from observational data”</a>
by Sprague &amp; House (2017)
gets data to show that complex contagion does, in fact, exist. Well, on the internet, at least.
Science is hard, okay?
<br><br>
Finally &mdash; and this paper tickles by nerd-bones &mdash;
<a target="_blank" href="https://arxiv.org/pdf/cond-mat/0403699.pdf">
“Universal behavior in a generalized model of contagion”</a> by Dodds &amp; Watts (2004)
proposes a model that unifies <i>all</i> kinds of contagions:
simple and complex, biological and social!
</div>
</reference>
<reference id="groupthink">
<h3>
“groupthink”
</h3>
<div>
This Orwell-inspired phrase was coined by Irving L. Janis way back in 1971!
<a target="_blank" href="https://web.archive.org/web/20100401033524/http://apps.olin.wustl.edu/faculty/macdonald/GroupThink.pdf">
In his original article</a>,
he investigates the Bay of Pigs fiasco (and other cases where groups of experts made terrible decisions),
and lists groupthink's causes, symptoms, and &mdash; thankfully, some remedies.
(for more on how to remedy groupthink, and how "small worlds" once barely
saved the world from the drink of nuclear war, check out
<a onclick='publish("reference/show", ["swn_jfk"]);'>this footnote</a>.)
</div>
</reference>
<reference id="social_capital">
<h3>
“bonding and bridging social capital”
</h3>
<div>
These two types of social capital &mdash; "bonding" and "bridging" &mdash;
were coined by Robert Putnam in his insightful, layperson-friendly 2000 book,
<a target="_blank" href="http://bowlingalone.com/">
Bowling Alone</a>. Using a bunch of data and statistics, he finds that,
across almost <i>all</i> measures of social connectiveness, Americans are more alone than ever.
Golly.
</div>
</reference>
<reference id="bridge">
<h3>
“bridging social capital has a sweet spot”
</h3>
<div>
<a target="_blank" href="https://sociology.stanford.edu/sites/default/files/publications/the_strength_of_weak_ties_and_exch_w-gans.pdf">
“The Strength of Weak Ties”</a> by Granovetter (1973)
showed the world a really counterintuitive discovery
people get new, useful information (like job openings) not from their close friendships (strong ties),
but from their distant acquaintances (weak ties)! This is because people in your group will mostly have the same
information <i>you</i> do, but people <i>outside</i> your group will be more likely to have novel information.
<br><br>
So, that may lead you to think that more weak ties, more bridging, is always better
(at least, for spreading contagions).
But a newer paper,
<a target="_blank" href="http://www.jstor.org/stable/10.1086/521848?seq=1#page_scan_tab_contents">
“Complex Contagions and the Weakness of Long Ties”</a> by Centola &amp; Macy (2007)
shows that while Granovetter's findings hold up for simple contagions,
they fail for complex contagions! And, in fact,
“as adoption thresholds increase, <i>long ties can impede diffusion</i>.” [emphasis added]
</div>
</reference>
<reference id="small_world">
<h3>
“the small world network”
</h3>
<div>
// Milgram, six degrees of separation popularized
<br><br>
The "small world network" became an academic celebrity
with the release of
<a target="_blank" href="http://leonidzhukov.net/hse/2014/socialnetworks/papers/watts-collective_dynamics-nature_1998.pdf">
“Collective dynamics of small-world networks”</a> by Watts &amp; Strogatz (1998).
// sweet spot (totally regular, random)
I'll admit, it's a really technical paper,
and I didn't understand it until I played
<a target="_blank" href="http://worrydream.com/ScientificCommunicationAsSequentialArt/">
the visual, interactive adaptation</a> by Bret Victor! (2011)
Seriously, check that one out.
</div>
</reference>
<reference id="swn_neurons">
<h3>
“[small world networks] describe how our neurons are connected”
</h3>
<div>
<a target="_blank" href="https://www.ncbi.nlm.nih.gov/pubmed/17079517">
“Small-world brain networks”</a> by Bassett &amp; Bullmore (2006).
The authors do some magic science stuff to monkey and cat brains,
something something something, et voila, they're small-world networks!
<br><br>
...okay, this paper totally flew over my head.
But it's got 1500+ citations, so, it's probably fine.
</div>
</reference>
<reference id="swn_creativity">
<h3>
“[small world networks] give rise to collective creativity”
</h3>
<div>
<a target="_blank" href="http://www.jstor.org/stable/10.1086/432782?seq=1#page_scan_tab_contents">
“Collaboration and Creativity: The Small World Problem”</a> by Uzzi &amp; Spiro (2005).
This paper analyzed the social networks of artists in the Broadway scene from 1945 to 1989,
measured the financial &amp; critical success of the musicals they made,
and discovered that, yup, you're most creative when you're in a small world network!
<br><br>
Also of note: they found that “the small world effect was parabolic [upside-down U shape]”. That is:
creativity was hurt by both too little <i>and</i> too much connectivity &mdash;
you need a sweet spot!
</div>
</reference>
<reference id="swn_social_physics">
<h3>
“[small world networks] give rise to collective problem-solving”
</h3>
<div>
<a target="_blank" href="http://socialphysics.media.mit.edu/">
“Social Physics”</a> by MIT Professor Alex "Sandy" Pentland (2014)
analyzes a whole bunch of data,
and finds that people make collective decisions best when they're connected <i>but not too connected</i>
&mdash; a sweet spot.
<br><br>
Pentland was also the co-author of my favorite papers,
<a target="_blank" href="http://science.sciencemag.org/content/330/6004/686.short">
“Evidence for a Collective Intelligence Factor in the Performance of Human Groups”</a> by Woolley et al (2004).
Turns out, the secret sauce behind smart groups is "social sensitivity", or, empathy.
(but, as Irving Janis pointed out a few decades earlier, <i>too much</i> of a
buddy-buddy everyone-get-along feeling can lead to groupthink.
See <a onclick='publish("reference/show", ["groupthink"]);'>this footnote</a>.)
</div>
</reference>
<reference id="swn_jfk">
<h3>
“[small world networks] helped John F. Kennedy (barely) avoid nuclear war!”
</h3>
<div>
Besides the NASA Challenger explosion, the most notorious example of groupthink
was the Bay of Pigs fiasco. In 1961, US President John F. Kennedy and his team of advisors
thought &mdash; for some reason &mdash; it would be a good idea to secretly invade Cuba and overthrow Fidel Castro.
They failed. Actually, worse than failed: it led to the Cuban Missile Crisis of 1962,
<i>the closest the world had ever been to full-scale nuclear war.</i>
<br><br>
Yup, JFK really screwed up on that one.
<br><br>
But, having learnt some hard lessons from the Bay of Pigs fiasco,
JFK re-organized his team to avoid groupthink.
Among many things, he:
1) actively encouraged people to voice criticism,
thus lowering the "contagion threshold" for alternate ideas.
And
2) he broke his team up into sub-groups before reconvening,
which gave their group a "small world network"-like design!
Together, this "group design" allowed for a healthy diversity of opinion,
but without being too fractured &mdash; a wisdom of crowds.
<br><br>
And so, with the same <i>individuals</i> who decided the Bay of Pigs,
but re-arranged <i>collectively</i> to decide on the Cuban Missile Crisis...
JFK's team was able to reach a peaceful agreement with Soviet leader Nikita Khrushchev.
The Soviets would remove their missiles from Cuba, and in return,
the US would promise not to invade Cuba again.
(and also agreed, in secret, to remove the US missiles from Turkey)
<br><br>
And that's the story of how all of humanity almost died.
But a small world network saved the day! Sort of.
<br><br>
You can read more about this
<a target="_blank" href="https://hbr.org/2013/11/how-john-f-kennedy-changed-decision-making">
on Harvard Business Review</a>,
or from
<a target="_blank" href="https://web.archive.org/web/20100401033524/http://apps.olin.wustl.edu/faculty/macdonald/GroupThink.pdf">
Irving Janis's original article on groupthink</a>.
</div>
</reference>
<reference id="three_degrees">
<h3>
“we influence [...] our friends' friends' friends!”
</h3>
<div>
Again, from Nicholas Christakis and James Fowler's
great, layperson-friendly book,
<a target="_blank" href="http://www.connectedthebook.com/">
Connected</a> (2009).
See <a onclick='publish("reference/show", ["contagion"]);'>this footnote</a> for details on how they did their analysis.
</div>
</reference>
<reference id="flatter">
<h3>
“be skeptical of ideas that flatter you”
</h3>
<div>
yes, including the ideas in <i>this</i> explorable explanation.
</div>
</reference>
<reference id="sandbox">
<h3>
★ Sandbox Mode ★
</h3>
<div>
Pst... wanna hear a secret?
Those keyboard shortcuts (1, 2, space, delete)
work not just in the Sandbox Mode, but in <i>all</i> the puzzles!
Seriously, you can go back to a different chapter,
and edit the simulation right there.
In fact, that's how <i>I</i> created all these puzzles. Have fun!
</div>
</reference>
</span>
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