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Braess's Paradox - Equilibria Gone Wild

Learn about Roborace's autonomous racing cars here: http://bit.ly/V_YTShowMeHowItWorks Join the Roborace mailing list for the latest updates about their autonomous cars: http://bit.ly/V_RoboraceSignUp Follow Roborace on instagram to check out their latest models: @roborace https://www.instagram.com/roborace/?hl=en Hi! I'm Jade. Subscribe to Up and Atom for physics, math and computer science videos! *SUBSCRIBE TO UP AND ATOM* https://www.youtube.com/c/upandatom *Follow me* @upndatom Up and Atom on Instagram: https://www.instagram.com/upndatom/ Up and Atom on Twitter: https://twitter.com/upndatom?lang=en A big thank you to my AMAZING PATRONS! Nathan Payton, Tyler White, Thibaud Peverelli, Purple Penguin, Paola Marquez, Chris Flynn, Ofer Mustigman, Daeil Kim, Harsh Tank, Alan McNea, Daniel Tan-Holmes, Simon Mackenzie, Shawn, Israel Shirk, Lynn Shackelford, Richard Farrer, Adam Thornton, Dag-Erling Smørgrav, Andrew Pann, Anne Tan, Joe Court, Huw James, Michael Dean, Marcus Dentrey, TweakoZ, Ayan, Chris Amaris, Daniel McGown, Bob Wolford, Matt G, Robert Maxon, Timur Kiyui, Ayan Doss, Broos Nemanic, John Satchell, John Shioli, Sung-Ho Lee, Todd Loreman, Susan Jones, Aditya Anantharaman, Frédéric Junod, Vincent Seguin, Paul Bryan, Michael Brunolli, Søren Peterson, Ken Takahashi, Schawn Schoch, Andrew Stott, Alexey Degtyarev, Stephen Denham, Kaylee, Jesse Clark, Steven Wheeler, Jason Smith, Atila Pires dos Santos, Adam J, Roger Johnson, Tom Sorbera, Michael McCloskey, Philip Freeman, Bogdan Morosanu, khAnubis, Jareth Arnold, Simon Barker, Shawn Patrick James Kirby, Simon Tobar, Dennis Haupt, Ammaar Esmailjee, Renato Pereira, Simon Dargaville, Noah McCann and Magesh. If you'd like to consider supporting Up and Atom, head over to my Patreon page :) https://www.patreon.com/upandatom For a one time donation, head over to my PayPal :) https://www.paypal.me/upandatom *Sources* https://www.bamsoftware.com/movies/braess.html https://www.cs.cornell.edu/home/kleinber/networks-book/networks-book-ch08.pdf Thank you to Pete McPartlan for his amazing animations. *Music* https://www.epidemicsound.com/

Comments

Andrew Stott

I have heard about electrical transmission wires/networks​ having similar issues - adding more lines actually reduces the efficiency of the grid.

Anonymous

I became a patreon for this clever post. I had to rewatch the description of the strings and springs to believe it, as you said it is complicated but very relevant. Well done. As a computer science, math, and philosophy graduate I enjoy most of your references, particularly the Nash equilibrium. I am also a fan of urban planning and clever animations, so this hit the spot for me. You could do a whole series of videos on local networks of cars and businesses and people, that flow well for a given volume, but when connected in new ways, don't flow as well anymore. Also gotta thank youtube for recommending relevant videos and channels.

upandatom

Hi Fran! Thank you for becoming a patron. I'm glad you enjoyed the video :) There are a lot of cool video ideas around flow and economics and people. My favourite kind of videos are the ones that link a bunch of seemingly unrelated phenomena and show that they all abide by the same laws.