Accession Number:

AD0743452

Title:

Criteria for Pareto-Optimality in Cooperative Differential Games.

Descriptive Note:

Interim rept.,

Corporate Author:

NAVAL RESEARCH LAB WASHINGTON D C

Personal Author(s):

• Stalford,Harold

Report Date:

1972-05-15

Pagination or Media Count:

9.0

Abstract:

Cooperative differential games having convex control sets are investigated. Two criteria are given for the utility of analyzing Pareto-optimal solutions of such games. The criteria are shown to determine whether a Pareto-optimal control policy belongs to the boundary of the control set or to the interior. A condition which is necessary for Pareto-optimality in such games is employed to obtain the results. An example is given to demonstrate that the results do not necessarily apply to games having non-convex control sets. Author

Descriptors:

• (*GAME THEORY
• OPTIMIZATION)
• DIFFERENTIAL EQUATIONS
• CONVEX SETS
• CONTROL SYSTEMS
• THEOREMS

Subject Categories:

• Operations Research

Distribution Statement:

APPROVED FOR PUBLIC RELEASE