Jet-Lag and Markov Chains

A quick introduction on Markov chains, through the lens of challenges featured on Jet-Lag: The Game.

This was my first time using Manim,

[tibees]

A Jetlag video that uses Manim? Of course the algorithm is going to show me this 🪙

[planet]

as a nebula subscriber, this is a legendary algorithm pull.

[Joshsstro]

Very well made video, I hope the Jet Lag team sees this

[coffeefish]

I think walking speed is a lot less random than you would think. Our brains (especially unconcissous portions like used in walking) naturally fall into a tempo and stick to it + our bodies naturally have a more comfortable speed to walk at due to the dimensions of our bodies. It does kind of surprise me that his walking would not slow noticeably by the end though.

[Laogeodritt]

Hah, love seeing this video and approach. When Adam got that 7-in-a-row challenge, I had found my way to the same Markov chain model, and hadn't found anyone else taking a similar approach in any of the discussion I read online (or really not many doing a complete analysis, rather than a rough heuristic). However, I brute-forced the solution from there via a transition matrix, multiplying it by itself until the 0-to-8 probability just exceeded 0.50. (A very compressed explanation for readers, the transition matrix of a Markov chain model gives the probability of a state A-to-state B transition, for any pair of states (A, B) in the model; if you then take the matrix to a power N, the resulting matrix values give the probability of passing from state A to state B after exactly N events.)

Neat seeing the mean-hitting-rate derivation. Nice and simple.

[pialba]

Jet Lag probability video ? I'm sold. Also after the intro I immediately thought of the Adam coin flip challenge, glad you covered it as well

Also team Sam (I like to be a contrarian)

[michaelacheong]

YouTube homepage serving me my kind of content, as a statistics uni graduate and a JetLag fan, thank you

[vicious_rhubarb]

As someone who studied a bit of this stuff and also enjoys jet lag this is so cool and smart! Market Flow poisson process analysis for strategy would be so cool I've done exercises like that in school a while ago but didn't even think about that when I watched that episode 😭

Shoutout to youtube for recommending, just gained you a new subscriber!

[ZeldaFreak]

With walking this is a pretty good way. Everyone has a natural walking speed. This speed is the most efficient one and everyone natural falls into that speed. When you measured it correctly and the parameters don't change, this is spot on. Parameters would be the ground or other people.

[llamason]

As a stat major who is a massive Jet Lag fan, extremely happy to have discovered this. Amazing video, keep up the great work :)

[romanneyter]

I watch a lot of YouTube videos, and this is probably one of the best videos I’ve seen in a long time.
I've wanted to understand Markov chain processes for a while now, but I’m too lazy to study them on my own. And here it is, combined with my favorite show.
Excellent example of probability application in life. Subscribed to the channel and very much looking forward for next videos. Good luck!

[beep]

In head-to-head competition (like S10), I tend to root for Badam, but in turn-based competition (like tag), I root for whoever's currently in the unique role (so runner in tag, hider in H&S). The exception was Sam in S11, where I really wanted him to get another run to get to his end location.

[SammyTheBEAST]

Great video! Surprised it doesn't have more views. Please do analyze the customer estimation challenge next!!

[RandomAussieNerd]

I actually read it - my favourite core member is Sam, and my favourite guest is Toby! Couldn't wait to watch S10 when I found out the two of them were paired together again.

[FernTheRobot]

oh hey it's my fellow math nerds! I also stopped mid Jet Lag S11E1 to analyze the probability of the 7 consecutive coin flips and came to the conclusion that Adam is the top 7% unluckiest player (with some terrible python code lol)

I hope Ben wins, not because he deserves it (he absolutely does), but because he is a silly goose.

[ernzhang]

I love this video, studying for my probability final atm, its nice to see what im interested in and what i need to learn to combine together to give me a refresher

[ITR]

Never heard about the jet lag game, so clicked this video really curious what having jetlag had to do with markov chains

[clucku]

Alternate title: “a random walk in jet lag” — for the real heads ;)

The Australia season had me thinking about markov decision processes for higher-level game strategy— harder to model but would be fun

Cool video!

[aryan]

very well made video. I've not studied math past high school but you managed to keep my attention for 12 minutes!!

[pmLite_]

great video! used to be team sam, now i feel like i root for everyone because they’re all so fun to watch