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Arrow's Paradox and the Fractional Voting System

Elsevier B.V.
Publication Date
  • Applied Mathematics
  • Applied_Mathematics/0111012


It is shown that fractional voting system (FVS) can be used to circumvent Arrow's paradox. In the FVS, the input to the voting system is the preference distribution of the voters and not the usual preference order. As a consequence, it turns out that it is possible to associate a unique preference distribution for the society as a whole. An interesting fact is that the same unique distribution results if injustice, as defined here, is minimized.

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