3 ms·
That's really interesting. I presumed that Braess' paradox was as a result of the overhead of competition but this demonstration doesn't seem to model that. I
by ricksplat 11y ago
That's really interesting. I presumed that Braess' paradox was as a result of the overhead of competition but this demonstration doesn't seem to model that.
I presume in the demonstration you're describing the central rope was not partially elasticated as the other two? (as demonstrated in the two videos)
Does Braess' paradox apply if the central rope is elasticated? Does it apply for a parallel route also or just for a route that joins to existing series routes?
I think if it's just a joining link then the effect could be modelled in signal theory as the result of partial feedback. Still no idea how the experiment works though :-)
- jamessb 11y agoI think the original mechanical analogy is due to Cohen and Horowitz: http://www.nature.com/nature/journal/v352/n6337/abs/352699a0.html http://www.nature.com/nature/journal/v352/n6337/abs/352699a0... In this setup, cutting the link essentially converts the two springs from being in series to parallel: http://ibin.co/2JEsCKEYRisb http://ibin.co/2JEsCKEYRisb If the central string was elastic, this would cause the weight to initially hang lower, but have no effect on the position reached after it is cut (assuming that it does not stretch so much that the other strings stop being slack). The effect would thus appear larger.