Accession Number:

AD0768282

Title:

Pareto Surfaces of Complexity 1

Descriptive Note:

Technical rept.

Corporate Author:

CORNELL UNIV ITHACA NY DEPT OF OPERATIONS RESEARCH

Personal Author(s):

• Billera, Louis J.
• Bixby, Robert E.

Report Date:

1973-08-01

Pagination or Media Count:

25.0

Abstract:

Pareto surfaces and attainable sets of complexity 1 i.e., those having a 1-commodity representation and no 0-commodity representation are discussed. An implicit characterization of these sets is given, and various of their properties are derived. In particular, Pareto surfaces of complexity at most 1 are always closed sets.

Descriptors:

• *SET THEORY
• CONVEX SETS
• ECONOMICS
• GAME THEORY
• MATHEMATICAL MODELS
• THEOREMS

Subject Categories:

• Theoretical Mathematics
• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE