Christian Elsholtz and Christian List A simple proof of Sen ' s possibility theorem on majority decisions

  title={Christian Elsholtz and Christian List A simple proof of Sen ' s possibility theorem on majority decisions},
  author={Christian Elsholtz and Christian List},
Condorcet’s voting paradox shows that pairwise majority voting may lead to cyclical majority preferences. In a famous paper, Sen (1966) identified a general condition on a profile of individual preference orderings, called triplewise value-restriction, which is sufficient for the avoidance of such cycles. This note aims to make Sen’s result easily accessible. We provide an elementary proof of Sen's possibility theorem and a simple reformulation of Sen’s condition. We discuss how Sen’s condition… CONTINUE READING

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