Paradoxical Results from Inada's Conditions for Majority Rule.

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Abstract:

The conclusion of this paper however paradoxical is simple Arrow-Blacks and Inadas conditions on triples do not allow more diversity individual orders than the more restrictive looking Blacks condition with a reference order. If one considers that the culture imposes one of these conditions to the individual, and that a measure of his freedom consists in the number of different opinions he is allowed to have in order to have the right to vote, no more is offered by the conditions on triples only.

Author(s):
Raynaud, Herve
Author Organization(s):
STANFORD UNIV CA INST FOR MATHEMATICAL STUDIES IN THE SOCIAL SCIENCES
Descriptive Note:
Technical rept.,
Pagination:
0025

Security Markings

DOCUMENT & CONTEXTUAL SUMMARY

Distribution:
Approved For Public Release

RECORD

Collection: TR
Identifying Numbers
Report Number(s):
TR-331
Contract/Grant Number(s):
N00014-79-C-0685
 Subject Terms
Joint Capability Areas:
JCA_1_Force Support; JCA_5_Command and Control; JCA_1.2_Force Preparation; JCA_5.3_Planning; JCA_1.2.3_Educating
Communities of Interest:
Materials and Manufacturing Processes
Descriptor(s):
*Rank order statistics, *Profiles, *Analytic functions, *Group dynamics, Culture, Order statistics, Classification, Configurations, Sequences, Theory, Algorithms, Hypotheses, Elections
Field(s)/Group(s):
Statistics and Probability
Keyword(s):
Arrow blacks condition, Inadas condition, Majority vote, Reference order, Majority, Triples, Majority rule, Bipartition condition
Report Date:
1981 Mar 01