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unusual facts about Braess's paradox


Braess's paradox

In 2012, scientists at the Max Planck Institute for Dynamics and Self-Organization demonstrated through computational modeling the potential for this phenomenon to occur in power transmission networks where power generation is decentralized.


Denny's paradox

Writing in the Journal of Fluid Mechanics, David Hu and John Bush state that Denny's paradox "rested on two flawed assumptions.

Downs–Thomson paradox

A 1968 article by Dietrich Braess, now at the Faculty of Mathematics in Ruhr University, pointed out the existence of this counter-intuitive occurrence on networks: the Braess' paradox states that adding extra capacity to a network, when the moving entities selfishly choose their route, can in some cases reduce overall performance.

Fenno's paradox

It is named after Richard Fenno who discussed this in his 1978 book Home Style: House Members in Their Districts.

G. E. Moore

Moore is also remembered for drawing attention to the peculiar inconsistency involved in uttering a sentence such as "It is raining but I do not believe it is raining."—a puzzle which is now commonly called "Moore's paradox."

Gray's paradox

In 2009, researchers from the National Chung Hsing University in Taiwan introduced new concepts of “kidnapped airfoils” and “circulating horsepower” to explain the swimming capabilities of the swordfish.

Homotopy principle

Smale's paradox can be done using C^1 isometric embedding of S^2.

Lover's paradox

Francesco Alberoni, Falling in love, New York, Random House, 1983.

Philip Jourdain

He corresponded with Georg Cantor and Gottlob Frege, and took a close interest in the paradoxes related to Russell's paradox, formulating the card paradox version of the liar paradox.

Schrödinger's paradox

Schrödinger's cat, a thought experiment relating to quantum physics

Use–mention distinction

Self-referential statements mention themselves or their components, often producing logical paradoxes, such as Quine's paradox.

William Newcomb

William Newcomb (died 1999), a professor and theoretical physicist at the University of California's Lawrence Livermore Laboratory, is best known as the creator of Newcomb's paradox, devised in 1960.


see also