Annals of Operations Research

, Volume 23, Issue 1, pp 103–137 | Cite as

Consistency of decision processes

  • Donald G. Saari
Article

Abstract

If a statistical or a voting decision procedure is used by several subpopulations and if each reaches an identical conclusion, then one might expect this conclusion to be the outcome for the full group. It is shown that this property fails to hold for large classes of decision procedures. The geometric reasons why the consistency does not hold are described. A general theorem is given to characterize the procedures that satisfy this property of “weak consistency”.

Keywords

Decision Process Large Classis Decision Procedure General Theorem Full Group 

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Copyright information

© J.C. Baltzer AG, Scientific Publishing Company 1990

Authors and Affiliations

  • Donald G. Saari
    • 1
  1. 1.Department of MathematicsNorthwestern UniversityEvanstonUSA

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