A Necessary but Insufficient Condition for the Stochastic Binary Choice Problem

نویسندگان

  • ITZHAK GILBOA
  • J. L. Kellogg
  • Salvador Barbera
  • Peter Fishburn
  • David Hartvigsen
  • A. A. J. Marley
  • Dov Monderer
  • Hugo Sonnenschein
چکیده

Given a real matrix Q,X:,, when is Q in the convex hull of { Y’m’},? In this paper some necessary conditions on Q-the “diagonal inequality”-are formulated and they are proved to generalize the Cohen-Falmagne conditions. A counterexample shows that the diagonal inequality is insufficient (as are hence, perforce, the Cohen-Falmagne conditions). The same example is used to show that Fishburn’s conditions are also insufficient.

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تاریخ انتشار 2003