Aggregation of utility and social choice: a topological characterization

@inproceedings{Jones2003AggregationOU,
  title={Aggregation of utility and social choice: a topological characterization},
  author={Matt Jones and Jun Zhang and G. Alexander Simpson},
  year={2003}
}
We study the topological properties of aggregation maps combining individuals’ preferences over n alternatives, with preference expressed by a real-valued, n-dimensional utility vector u defined on an interval scale. Since any such utility vector is specified only up to arbitrary affine transformations, the space of utility vectors R may be partitioned into equivalence classes of the form fauþ b1 j aAR0 ; bARg: The quotient space, denoted T ; is shown to be the union of the (n 2)-dimensional… CONTINUE READING
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