Accession Number:

ADA055838

Title:

Choice Probabilities and Choice Functions.

Descriptive Note:

Interim rept.,

Corporate Author:

PENNSYLVANIA STATE UNIV UNIVERSITY PARK COLL OF BUSINESS ADMINISTRATION

Personal Author(s):

Report Date:

1978-06-01

Pagination or Media Count:

30.0

Abstract:

Although there are sizable literatures on the connections between choice probabilities and preference relations, and between preference relations and choice functions, little has been done--apart from their common ties to preference relations--to connect choice probabilities and choice functions. The latter connection is studied in this report. A family of choice functions that depends on a threshold parameter is defined from a choice probability function. It is then shown what must be true of the choice probability function so that the choice functions satisfy three traditional rationality conditions. Conversely, it is shown what must be true of the choice functions so that the choice probability function satisfies a version of Luces axiom for individual choice probabilities. Author

Subject Categories:

  • Economics and Cost Analysis
  • Statistics and Probability

Distribution Statement:

APPROVED FOR PUBLIC RELEASE