Cardinal Utility from Intensity Comparisons

Lloyd S. Shapley

ResearchPublished 1975

A proof that a cardinal utility function is determined if changes between outcomes, as well as the outcomes themselves, can be ranked in order of desirability. It is assumed that a numerical ordinal utility function with convex range is already given, and that the ranking of changes is continuous and enjoys a certain "crossover" property that is characteristic of difference comparisons.

Topics

Document Details

Citation

Chicago Manual of Style

Shapley, Lloyd S., Cardinal Utility from Intensity Comparisons. Santa Monica, CA: RAND Corporation, 1975. https://www.rand.org/pubs/reports/R1683.html.
BibTeX RIS

Research conducted by

This publication is part of the RAND report series. The report series, a product of RAND from 1948 to 1993, represented the principal publication documenting and transmitting RAND's major research findings and final research.

This document and trademark(s) contained herein are protected by law. This representation of RAND intellectual property is provided for noncommercial use only. Unauthorized posting of this publication online is prohibited; linking directly to this product page is encouraged. Permission is required from RAND to reproduce, or reuse in another form, any of its research documents for commercial purposes. For information on reprint and reuse permissions, please visit www.rand.org/pubs/permissions.

RAND is a nonprofit institution that helps improve policy and decisionmaking through research and analysis. RAND's publications do not necessarily reflect the opinions of its research clients and sponsors.