Our intuitions often leads us astray. A good reminder: study counterintuitive math and economic results.

Here are 9 of them 🧵

The Birthday Paradox

In a room of 23 people, there's a >50% chance that 2 people share the same birthday.

This type of probabilistic thinking does *not* come naturally to many people.
The Coastline Paradox

Fractal geometry is also confounding:

The coastline of a landmass does not have a well-defined measurement. As the unit of measurement gets smaller (eg. from KMs to cm), the length increases without limit.
Winner's Curse

In an auction, the winning bid will usually exceed the intrinsic worth of an item leading to a significant overpay (and negative net profit for the winner).
Braess's Paradox

Removing an extra road can make everyone's commute time faster.

Why? The existence of a "fast" road leads to congestion because everyone uses it. If you remove the shortcut, traffic flows better.
Market for Lemons

If a seller has slightly more info than a buyer (eg used cars), it can lead to market failure:

◻️Buyer will pay price below market (b/c they can't confirm quality)
◻️High-quality sellers leave market b/c can't get good price
◻️Only low-quality sellers remain
The Potato Paradox

If you take 100lbs of potatoes which are 99% water by weight and you let it dry so that they are 98% water, their new weight is 50lbs.
The Pizza Paradox

One 18-inch pizza has more "pizza" than two 12-inch pizzas (still trying to process this fact).
Littlewood's Law of Miracles

An example of the law of large numbers: A person can expect to experience events with odds of one in a million at the rate of about once per month.

(Similarly: in a world with ~8B people, a one-in-billion event will happen 8x a month)
Queuing Paradox

If bank customers take on average 10 minutes to serve and they arrive randomly at a rate of 5.8 per hour...then the waiting time for

◻️one teller is *5 hours*
◻️two tellers is *3 minutes*

Waiting time is reduced by 93x by adding a second teller.
PS. I write interesting threads like this 1-2x a week. Follow @TrungTPhan to catch them in your feed.

Also check out my weekly Saturday newsletter:https://t.co/jGZs8brnVR
Sources

Here's the breakdown of the queueing theory: https://t.co/2vunn5mMTz

Check this awesome article for dozens more counterintuitive math, science + physics facts: https://t.co/8sejjm6AkH
VERY counterintuitive fact: Gabriel's Horn is a geometric figure with:

◻️ *infinite* surface area
◻️ *finite* volume
Deep dive on the Birthday Paradox https://t.co/3AAXUUVGP9

More from Trung Phan 🇨🇦

The Wall Street Bets due diligence on Wendy’s is gold.

The catalysts are:
◻️ The release of a new summer salad
◻️ The @Wendys Twitter account, which has mastered “meta pragmatic roasting” (which is effective with younger people)
◻️ The fact it literally sells chicken tendies


OP:

Here’s a more fundamentals-driven analysis of Wendy’s

https://t.co/A2k19S9M7J


😂😂😂


Further Wendy’s analysis from @CliffordAsness !!

More from Finance

1/ My Mission: To Spread Financial Wellness (thread)

Here’s what "financial wellness" means to me

⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️⬇️

2/ Mindset

Humans are programmed to think short-term

Evolutionary, thinking short-term makes sense. It helps with survival.

Financial wellness is all about training yourself to develop a long-term mindset

Not easy -- it takes practice


3/ Mindset

If you join the right tribes, you can’t help but improve

My favs:
@AffordAnything
@ChooseFiFI
FinTwit
@MicroCapClub
@themotleyfoolFool
@visualizevalue

Twitter / Podcasts / Blogs / YouTube -- when used correctly -- are amazing


4/ Mindset

Educate yourself - constantly!

Especially about:

1⃣Money
2⃣Relationships
3⃣Health

These 3 categories have an outsized influence on all areas of your life

Books


5/ Career

In the beginning, focus on growing your income

Do more than what is expected

Become a lynchpin

Find a career that you ENJOY (<- important!) that also has high-income potential

Start a side hustle (<- important!)

Build your talent
THREAD: Who are the rising stars of Chinese elite politics in the central Party-State bureaucracy?

For @MacroPoloChina I analyzed last year's ministerial-level promotions to posts in Beijing

TLDR: Ties to Xi Jinping—or a Xi ally—are very helpful! (1/14)

https://t.co/kO2A0Efyq2


Seven politicians were promoted to ministerial-level positions in central Party agencies last year

All are likely to feature on the next Central Committee selected at the 2022 Party Congress

Some could make the CCP's elite 25-person Politburo (2/14)

https://t.co/kO2A0Efyq2


Likeliest for the Politburo is Meng Xiangfeng, new Executive Deputy Director of the CCP General Office

He would replace Xi ally Ding Xuexiang as CCP chief-of-staff if Ding is promoted further in 2022

Meng worked under Xi allies Cai Qi in Hangzhou and Chen Xi in Liaoning (3/14)


Less likely for the Politburo but still important is Jiang Jinquan, new Director of the CCP Policy Research Office

He replaces 5th-ranked leader Wang Huning who led the Party's brains trust for 18 years

Wang remains prominent and will be <68 in 2022, so he'll stay around (4/14)


Other notable central Party promotions include Li Shulei and Liang Yanshun, who both assisted Xi when he led the Central Party School from 2007-2012

Li is a political conservative who is said to be quite close with Xi, even drafting his 2014 speech on culture and art (5/14)

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Recently, the @CNIL issued a decision regarding the GDPR compliance of an unknown French adtech company named "Vectaury". It may seem like small fry, but the decision has potential wide-ranging impacts for Google, the IAB framework, and today's adtech. It's thread time! 👇

It's all in French, but if you're up for it you can read:
• Their blog post (lacks the most interesting details):
https://t.co/PHkDcOT1hy
• Their high-level legal decision: https://t.co/hwpiEvjodt
• The full notification: https://t.co/QQB7rfynha

I've read it so you needn't!

Vectaury was collecting geolocation data in order to create profiles (eg. people who often go to this or that type of shop) so as to power ad targeting. They operate through embedded SDKs and ad bidding, making them invisible to users.

The @CNIL notes that profiling based off of geolocation presents particular risks since it reveals people's movements and habits. As risky, the processing requires consent — this will be the heart of their assessment.

Interesting point: they justify the decision in part because of how many people COULD be targeted in this way (rather than how many have — though they note that too). Because it's on a phone, and many have phones, it is considered large-scale processing no matter what.