Mechanism design

Median mechanism

A median mechanism is a voting rule that allows people to decide on a value in a one-dimensional domain. Each person votes by writing down his/her ideal value, and the rule selects a single value which is (in the basic mechanism) the median of all votes. The median mechanism can be used, for example, to decide on the size of the country's budget: each person says what the ideal budget size should be, and the chosen size is the median of the declared values. Another possible application is deciding how long the annual school vacation should be: each person says the ideal length in days, and the median is selected. A third example is: deciding what temperature the air-conditioner in an office should be set to. A fourth example is a facility location problem in one dimension. An important feature of the median mechanism is that it is truthful: if the utility of each voter is higher whenever the chosen value is closer to his ideal value, then an optimal strategy for each voter is to declare his true ideal value, regardless of what other voters say. This is in contrast to other natural mechanisms, such as the average mechanism. With the average mechanism, if the current average is lower than a voter's ideal value, then it may be optimal for the voter to declare a higher value (and vice versa), in order to "pull" the chosen value towards his ideal value. The median mechanism is immune to such manipulations. Moreover, every mechanism that is truthful and anonymous is a generalized median mechanism - a mechanism that inserts some fixed "society votes" and then selects the median (see below). (Wikipedia).

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From playlist Mechanisms

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From playlist Mechanisms

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From playlist Mechanisms

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This mechanism produces a reciprocating movement, with the forward always longer than the backward. It uses a planetary mechanism with two inputs, the sun and the ring. The output is the arm. The inputs are provided by an intermittent mechanism, with one gear moving two others, one at a ti

From playlist Planetary Mechanisms

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From playlist Mechanisms

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From playlist Mechanisms

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From playlist Concerning Questions

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Study of spatial parallelogram mechanism 2a

Lower and upper regular triangle plates are identical. Green vertical bars are identical. All joints are spherical. When the upper plate moves, it may not be parallel to the lower plate. Computer testing shows that the mechanism has 3 degrees of freedom (DoF) excluding passive DoF (rotatio

From playlist Mechanisms

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Internal Geneva mechanism 3

The ratio of dwell period to motion period is 1/5. Angle of each rotation of the driven shaft is 60 degrees. Link for downloading STEP files of this video: http://www.mediafire.com/download/298s74lzosn13wy/InGeneva3STEP.zip

From playlist Mechanisms

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From playlist Mathematics

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This is the first lesson to introduce some of the key concepts needed to tackle the statistics portion of the A-Level course. Here, we reintroduce the idea of measures of location (quartiles, mean, median) and spread (range and interquartile range). The mode, too, also features! This less

From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE

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From playlist OCR MEI Mechanics Minor G: Centre of Mass

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Combination of bevel gear satellite drive and nut-screw one.

From playlist Mechanisms

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From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE

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From playlist Statistical Rethinking Winter 2019

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From playlist Year 12/AS Edexcel (8MA0) Mathematics: FULL COURSE

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Sarrus linkage 2

An embodiment of "Sarrus linkage 1". Two planes of two planar slider-crank mechanisms are not necessary to be perpendicular to each other. It is enough that they are not parallel.

From playlist Mechanisms

Related pages

Strategyproofness | Average | Median voter theorem | Median | Facility location problem