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Proximity by Numbers

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Author Info

  • Conal Duddy
  • Ashley Piggins

    (Department of Economics, National University of Ireland, Galway)

Abstract

Imagine that everyone in a group chooses a real number and then these numbers are combined to produce a group number. Suppose that when everyone moves strictly closer to some individual’s number, the group number either stays where it is or moves closer to this number. We call this the proximity condition. Restricting attention to group choice rules that are homogeneous of degree one and constant-preserving, we show that the only rules satisfying this property are dictatorships.

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Bibliographic Info

Paper provided by National University of Ireland Galway, Department of Economics in its series Working Papers with number 0155.

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Length: 5 pages
Date of creation: 2009
Date of revision: 2009
Handle: RePEc:nig:wpaper:0155

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Related research

Keywords: Proximity condition; merging function; impossibility theorem Algorithmic Trading; MACD;

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