Accession Number : AD0714652

Title :   On Division of the Question,

Corporate Author : CENTER FOR NAVAL ANALYSES ARLINGTON VA

Personal Author(s) : Kadane,Joseph B.

Report Date : NOV 1970

Pagination or Media Count : 14

Abstract : Suppose a committee is to write a platform taking positions on many issues. Suppose also that the alternatives for each issue can be ordered so that each member's preferences are single-peaked, and that the issues are separable in the sense that the outcome on one issue does not affect preferences on the others. The committee may consider the issues one-by-one, leading to a platform P* of the majority view on each issue. Alternatively the committee may consider the entire platform as a single motion. If so, there may be a cycle of platforms each of which defeats all platforms not in the cycle. P* is in the above cycle if there is a cycle; if not, P* defeats all other platforms. If division of the questions on amendments is automatically imposed, P* defeats all amendments and from any other platform a sequence of successful amendments leads to P*. The theory is applied to explain why state constitutional amendments tend to fail when submitted as a package, and pass when submitted separately. (Author)

Descriptors :   (*POLITICAL SCIENCE, PSYCHOLOGICAL TESTS), DECISION THEORY, BEHAVIOR, ATTITUDES(PSYCHOLOGY), PERFORMANCE(HUMAN), GROUP DYNAMICS, SEQUENCES(MATHEMATICS), TRANSFORMATIONS

Subject Categories : Government and Political Science
      Psychology
      Operations Research

Distribution Statement : APPROVED FOR PUBLIC RELEASE