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How to choose a winner : the mathematics of social choice

Oberwolfach'tan

How to choose a winner : the mathematics of social choice

Suppose a group of individuals wish to choose among several options, for example electing one of several candidates to a political office or choosing the best contestant in a skating competition. The group might ask: what is the best method for choosing a winner, in the sense that it best reflects the individual preferences of the group members? We will see some examples showing that many voting methods in use around the world can lead to paradoxes and bad outcomes, and we will look at a mathematical model of group decision making. We will discuss Arrow’s impossibility theorem, which says that if there are more than two choices, there is, in a very precise sense, no good method for choosing a winner.

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Matematiksel konular

Ayrık Matematik ve Matematiğin Temelleri

Diğer alanlarla ilişkiler

Beşeri ve Sosyal Bilimler

Yazar(lar)

Victoria Powers

Lisans

DOI (Dijital nesne belirteci)

10.14760/SNAP-2015-009-EN

PDF indir

2015-009-powers.pdf

PDF

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      Matematiksel konular

      Cebir ve Sayılar Kuramı
      Analiz
      Eğitim ve Eğitim Bilimi
      Ayrık Matematik ve Matematiğin Temelleri
      Geometri ve Topoloji
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