f Nik's room: Does the democracy work well?
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17 dicembre 2008

Does the democracy work well?

During a meeting the joint owners of a building have to debate about the idea to paint the external walls of their house.

There are 3 groups:
  • group A: 10 joint owners want to paint the house and they like yellow;
  • group B: 10 joint owners want to paint the house and they think a yellow house is ugly;
  • group C: 10 joint owners don't want to paint their house, but if they have to do, they would like yellow.
The apartment house manager can decide how they will vote. I have two alternatives: in a single round (1st strategy) or in two (2nd strategy).
  1. Just one question:
    "Do you want to paint your house in yellow?"
    Result: NO. Groups B hate yellow and group C don't want to pain the house.

  2. Two sequential questions:
    "Do you want to paint your house?"
    Result: YES. Group A and B win again group C.
    "Do you like yellow?"
    Result: YES. Only group B don't like yellow.
    Final result: YES.
The question is: who have the power to decide, the apartment house manager or joint owners?
Many forms of Government have been tried and will be tried in this world of sin and woe. No one pretends that democracy is perfect or all-wise. Indeed, it has been said that democracy is the worst form of government except all those other forms that have been tried from time to time.

Winston Churchill

2 commenti:

ernesto ha detto...

Molto interessante, questa non la conoscevo. Sembra un'esempio chiaro del paradosso di Condorcet o del teorema dell'impossibilità di Arrow (http://it.wikipedia.org/wiki/Paradosso_di_Condorcet), secondo cui, in sostanza, una forma perfetta di voto e quindi di democrazia sono irrealizzabili dal punto di vista logico.

Unknown ha detto...

Esattamente. Mi sembra che, oltre dal punto di vista logico, anche la realtà ci stia mostrando la veridicità di questo paradosso.

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