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How Closing Roads Could Speed Up Traffic - The Braess Paradox

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The Braess Paradox is an unexpected result from network theory. It states that adding capacity could actually slow down the speed of the network. Applied to highways, the Braess Paradox means the existence of some roads slows down traffic, or that closing some roads could speed up traffic. The Braess Paradox can also explain the "Ewing Paradox" in the NBA and sports--that a star player may hurt a team's offence. There are also applications in physics and how far a pair of strings stretch under gravity. The Braess Paradox is a result that individual drivers are seeking the fastest roads, and when all drivers make the same choices the roads are congested (this is an example of a Nash equilibrium from game theory). The inefficiency is a result of a lack of coordination, so this is known as the "price of anarchy." References from the video 42st street closed traffic improved http://www.nytimes.com/1990/12/25/health/what-if-they-closed-42d-street-and-nobody-noticed.html NYC Map Data: Google Maps (Bluesky, DigitalGlobe, Landsat, Sanborn, USDA Farm Service Agency) Boston Map Data: Google Maps (Google, Sanborn) London Map Data: Google Maps (Bluesky, DigitalGlobe, Getmapping plc, Infoterra Ltd & Bluesky, The GeoInformation Group) Closing roads in New York City, Boston, and London http://arxiv.org/pdf/0712.1598v4.pdf "The Price of Anarchy in Transportation Networks." Hyejin Youn, Michael T. Gastner, Hawoong Jeong. On a Paradox of Traffic Planning (2005 English paper) http://www.nytimes.com/1990/12/25/health/what-if-they-closed-42d-street-and-nobody-noticed.html 1968 paper in German http://homepage.ruhr-uni-bochum.de/Dietrich.Braess/paradox.pdf Math to solve for number of drivers on northern/southern routes http://mindyourdecisions.com/blog/2009/01/06/why-the-secret-to-speedier-highways-might-be-closing-some-roads-the-braess-paradox/ Braess Paradox Strings http://www.youtube.com/watch?v=nMrYlspifuo Night Lights of US (NASA) http://earthobservatory.nasa.gov/IOTD/view.php?id=79800 Power Grid Paper http://phys.org/news/2012-10-power-grid-blackouts-braess-paradox.html Ewing Theory ("The price of anarchy in basketball", Brian Skinner) http://arxiv.org/pdf/0908.1801v4.pdf Soccer and Braess Paradox http://mindyourdecisions.com/blog/2014/06/24/the-braess-paradox-in-soccer-how-a-team-can-be-better-without-its-best-scorer/ If you like my videos, you can support me at Patreon: http://www.patreon.com/mindyourdecisions Connect on social media. I update each site when I have a new video or blog post, so you can follow me on whichever method is most convenient for you. My Blog: http://mindyourdecisions.com/blog/ Twitter: http://twitter.com/preshtalwalkar Facebook: https://www.facebook.com/pages/Mind-Your-Decisions/168446714965 Google+: https://plus.google.com/108336608566588374147/posts Pinterest: https://www.pinterest.com/preshtalwalkar/ Tumblr: http://preshtalwalkar.tumblr.com/ Instagram: https://instagram.com/preshtalwalkar/ Patreon: http://www.patreon.com/mindyourdecisions Newsletter (sent about 2 times a year): http://eepurl.com/KvS0r My Books "The Joy of Game Theory" shows how you can use math to out-think your competition. (rated 4/5 stars on 23 reviews) https://www.amazon.com/gp/product/1500497444 "The Irrationality Illusion: How To Make Smart Decisions And Overcome Bias" is a handbook that explains the many ways we are biased about decision-making and offers techniques to make smart decisions. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1523231467/ "Math Puzzles Volume 1" features classic brain teasers and riddles with complete solutions for problems in counting, geometry, probability, and game theory. Volume 1 is rated 4.5/5 stars on 11 reviews. https://www.amazon.com/gp/product/1517421624/ "Math Puzzles Volume 2" is a sequel book with more great problems. https://www.amazon.com/gp/product/1517531624/ "Math Puzzles Volume 3" is the third in the series. https://www.amazon.com/gp/product/1517596351/ "40 Paradoxes in Logic, Probability, and Game Theory" contains thought-provoking and counter-intuitive results. (rated 4.9/5 stars on 7 reviews) https://www.amazon.com/gp/product/1517319307/ "The Best Mental Math Tricks" teaches how you can look like a math genius by solving problems in your head (rated 4.7/5 stars on 3 reviews) https://www.amazon.com/gp/product/150779651X/ "Multiply Numbers By Drawing Lines" This book is a reference guide for my video that has over 1 million views on a geometric method to multiply numbers. (rated 5/5 stars on 1 review) https://www.amazon.com/gp/product/1500866148/

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